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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">novtexmech</journal-id><journal-title-group><journal-title xml:lang="ru">Мехатроника, автоматизация, управление</journal-title><trans-title-group xml:lang="en"><trans-title>Mekhatronika, Avtomatizatsiya, Upravlenie</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1684-6427</issn><issn pub-type="epub">2619-1253</issn><publisher><publisher-name>Commercial Publisher «New Technologies»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17587/mau.27.13-20</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-1912</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СИСТЕМНЫЙ АНАЛИЗ, УПРАВЛЕНИЕ И ОБРАБОТКА ИНФОРМАЦИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SYSTEM ANALYSIS, CONTROL AND INFORMATION PROCESSING</subject></subj-group></article-categories><title-group><article-title>Мониторинг неисправностей мостов на основе интервальных оценок дисперсии помехи вибрационного зашумленного сигнала</article-title><trans-title-group xml:lang="en"><trans-title>Monitoring of Bridge Malfunctions Based on Interval Estimates of the Variance of the Noise of Vibration Noisy Signals</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алиев</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Aliev</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Т. А. Алиев, д-р техн. наук, проф., советник НАНА</p><p>Баку</p></bio><bio xml:lang="en"><p>T. A. Aliev, Dr. Tech. Sc., Professor, Advisors of ANAS</p><p>Baku, AZ1001</p><p>Baku, AZ1073</p><p>Baku, AZ1141</p><p> </p></bio><email xlink:type="simple">telmancyber@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мусаева</surname><given-names>Н. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Musaeva</surname><given-names>N. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Н. Ф. Мусаева, д-р техн. наук, проф., проф. кафедры</p><p>Баку</p></bio><bio xml:lang="en"><p>N. F. Musaeva, Dr. Tech. Sc., Professor</p><p>Baku, AZ1073</p><p>Baku, AZ1141</p><p> </p></bio><email xlink:type="simple">musanaila@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальная академия наук Азербайджана; Азербайджанский университет архитектуры и строительства; Институт систем управления</institution><country>Азербайджан</country></aff><aff xml:lang="en"><institution>National Academy of Sciences; Azerbaijan University of Architecture and Construction; Institute of Control Systems</institution><country>Azerbaijan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Азербайджанский университет архитектуры и строительства; Институт систем управления</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Azerbaijan University of Architecture and Construction; Institute of Control Systems</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>17</day><month>01</month><year>2026</year></pub-date><volume>27</volume><issue>1</issue><fpage>13</fpage><lpage>20</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Commercial Publisher «New Technologies»</copyright-holder><copyright-holder xml:lang="en">Commercial Publisher «New Technologies»</copyright-holder><license xlink:href="https://mech.novtex.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://mech.novtex.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://mech.novtex.ru/jour/article/view/1912">https://mech.novtex.ru/jour/article/view/1912</self-uri><abstract><p>Рассмотрены особенности мостов. Отмечено, что в процессе эксплуатации мосты подвергаются влиянию внешних факторов, например, изменению температуры, порывам ветра, гололеду, ливневым дождям, сейсмическим и оползневым воздействиям и др. В результате в конструкциях мостов появляются повреждения, коррозия, неисправности и т. д. Поэтому создаются системы мониторинга технического состояния моста. Однако эти системы мониторинга не дают возможность выявить латентный период возникновения неисправности в конструкции моста и проследить динамику ее развития. Отмечено, что образование даже самых незначительных неисправностей в конструкциях моста сопровождается появлением в вибрационном сигнале аддитивной помехи, коррелированной с полезным сигналом. Характеристики этой помехи несут в себе информацию об образовании дефектов и неисправностей в конструкциях моста. Однако помеху невозможно выделить из зашумленного вибрационного сигнала, чтобы вычислить оценки этих характеристик традиционными методами. Поэтому разработаны алгоритмы вычисления характеристик помехи зашумленного вибрационного сигнала. Предложены технологии раннего обнаружения неисправностей моста, а также анализ динамики их развития по интервальным оценкам дисперсии помехи. Составлена матрица и модель неисправного технического состояния моста. Для контроля динамики развития неисправностей составлены доверительные интервалы для оценок дисперсии помехи зашумленного вибрационного сигнала в различные моменты времени. Установлено соответствие между каждым значением доверительного интервала дисперсии помехи зашумленного вибрационного сигнала и степенью развития неисправности или дефекта мостового сооружения. Для каждой верхней границы доверительного интервала дисперсии помехи вычислено отношение дисперсии помехи к дисперсии полезного сигнала, и определена динамика развития степени опасности. Показано, что применение разработанных алгоритмов и технологий в системах мониторинга позволят сигнализировать о зарождении неисправности и дефекта в скрытом периоде их появления, что обеспечивает безопасность, надежность и эффективность функционирования мостового сооружения и уменьшает риск возможной аварии.</p></abstract><trans-abstract xml:lang="en"><p>The specific features of bridges are considered. It is noted that in the process of operation bridges are exposed to the influence of external factors, such as temperature changes, wind gusts, ice, heavy rain, seismic and landslide impacts, etc., which cause damage, corrosion, malfunction, etc. in bridge structures. Therefore, systems for monitoring the technical condition of bridges are developed. However, these monitoring systems do not allow to reveal the latent period of occurrence of a malfunction in the bridge structure and trace the dynamics of its development. It is noted that the formation of even the most insignificant faults in the bridge structures is accompanied by the emergence in the vibration signal of an additive noise correlated with the useful signal. Characteristics of this noise carry information about the formation of defects and malfunctions in the bridge structures. However, the noise cannot be isolated from the noisy vibration signal in order to calculate estimates of these characteristics using traditional methods. Therefore, algorithms for calculating the characteristics of the noise characteristics of the noisy vibration signal are developed. Technologies for early detection of bridge malfunctions are proposed, as well as analysis of the dynamics of their development using interval estimates of the noise variance. The matrix and model of the faulty technical condition of bridges are built. To control the dynamics of malfunction development, confidence intervals for the estimates of the variance of the noise of noisy vibration signal at different time instants are compiled. The correspondence between each value of the confidence interval of the variance of the noise of the noisy vibration signal and the degree of development of the malfunction or defect of the bridge structure is established. For each upper boundary of the confidence interval of the noise variance, the ratio of the noise variance to the variance of the useful signal is calculated, and the dynamics of the hazard degree development is determined. It is shown that using the developed algorithms and technologies in monitoring systems will make it possible to signal the emergence of malfunctions and defects in the latent period of their inception, which ensures safety, reliability and efficiency of the operation of bridge structures and reduces the risk of possible accidents.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>мост</kwd><kwd>система мониторинга</kwd><kwd>помеха</kwd><kwd>полезный сигнал</kwd><kwd>зашумленный сигнал</kwd><kwd>повреждение</kwd><kwd>дисперсия помехи</kwd><kwd>доверительный интервал</kwd><kwd>коэффициент корреляции</kwd></kwd-group><kwd-group xml:lang="en"><kwd>bridge</kwd><kwd>monitoring system</kwd><kwd>noise</kwd><kwd>useful signal</kwd><kwd>noisy signal</kwd><kwd>damage</kwd><kwd>noise variance</kwd><kwd>confidence interval</kwd><kwd>correlation coefficient</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Bętkowski P. Steel Relieving Constructions in Mining Areas as Temporary or Permanent Railway Bridges, Transport Problems, 2020, vol. 15, iss. 2, pp. 107—118, DOI: 10.21307/tp-2020-024.</mixed-citation><mixed-citation xml:lang="en">Bętkowski P. Steel Relieving Constructions in Mining Areas as Temporary or Permanent Railway Bridges, Transport Problems, 2020, vol. 15, iss. 2, pp. 107—118, DOI: 10.21307/tp-2020-024.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Salem O., Salman B., Ghorai S. Accelerating construction of roadway bridges using alternative techniques and procurement methods, Transport, 2018, vol. 33, iss. 2, pp. 567—579, DOI: 10.3846/16484142.2017.1300942.</mixed-citation><mixed-citation xml:lang="en">Salem O., Salman B., Ghorai S. Accelerating construction of roadway bridges using alternative techniques and procurement methods, Transport, 2018, vol. 33, iss. 2, pp. 567—579, DOI: 10.3846/16484142.2017.1300942.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">O’Brien E. J., Leahy C., Enright B., Caprani C. C. Validation of scenario modelling for bridge loading, The Baltic Journal of Road and Bridge Engineering, 2016, vol. 11, iss. 3, pp. 233—241, DOI: 10.3846/bjrbe.2016.27.hdl:10197/9252.</mixed-citation><mixed-citation xml:lang="en">O’Brien E. J., Leahy C., Enright B., Caprani C. C. Validation of scenario modelling for bridge loading, The Baltic Journal of Road and Bridge Engineering, 2016, vol. 11, iss. 3, pp. 233—241, DOI: 10.3846/bjrbe.2016.27.hdl:10197/9252.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Arafa A., Ahmed N., Farghaly A. S., Chaallal O., Benmokrane B. Exploratory Study on Incorporating Glass FRP Reinforcement to Control Damage in Steel-Reinforced Concrete Bridge Pier Walls, Journal of Bridge Engineering, 2021, vol. 26, iss. 2, DOI: 10.1061/(ASCE)BE.1943-5592.0001648.</mixed-citation><mixed-citation xml:lang="en">Arafa A., Ahmed N., Farghaly A. S., Chaallal O., Benmokrane B. Exploratory Study on Incorporating Glass FRP Reinforcement to Control Damage in Steel-Reinforced Concrete Bridge Pier Walls, Journal of Bridge Engineering, 2021, vol. 26, iss. 2, DOI: 10.1061/(ASCE)BE.1943-5592.0001648.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Kamaitis Z. Damage to concrete bridges due to reinforcement corrosion: Part I. Site investigations, Transport, 2002, vol. 17, iss. 4, pp. 137—142, DOI: 10.3846/16483840.2002.10414030.</mixed-citation><mixed-citation xml:lang="en">Kamaitis Z. Damage to concrete bridges due to reinforcement corrosion: Part I. Site investigations, Transport, 2002, vol. 17, iss. 4, pp. 137—142, DOI: 10.3846/16483840.2002.10414030.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Sužiedelytė-Visockienė J. Technique for definition of break size of road covering on the bridge, Transport, 2007, vol. 22, iss. 2, pp. 122—125, DOI: 10.3846/16484142.2007.9638110.</mixed-citation><mixed-citation xml:lang="en">Sužiedelytė-Visockienė J. Technique for definition of break size of road covering on the bridge, Transport, 2007, vol. 22, iss. 2, pp. 122—125, DOI: 10.3846/16484142.2007.9638110.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Daocheng Z., Bo Z., Sisi X. et al. Experimental study on dynamic effect of freestanding tower of sea-crossing bridge under wave load, Advances in Bridge Engineering, 2021, vol. 2, iss. 9, pp. 1—11, DOI: 10.1186/s43251-020-00032-5.</mixed-citation><mixed-citation xml:lang="en">Daocheng Z., Bo Z., Sisi X. et al. Experimental study on dynamic effect of freestanding tower of sea-crossing bridge under wave load, Advances in Bridge Engineering, 2021, vol. 2, iss. 9, pp. 1—11, DOI: 10.1186/s43251-020-00032-5.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Jia H., Jia K., Sun C. et al. Preliminary numerical study on seismic response of ordinary long-span suspension bridges crossing active faults, Advances in Bridge Engineering, 2021, vol. 2, iss. 16, pp. 1—11, DOI: 10.1186/s43251-021-00035-w.</mixed-citation><mixed-citation xml:lang="en">Jia H., Jia K., Sun C. et al. Preliminary numerical study on seismic response of ordinary long-span suspension bridges crossing active faults, Advances in Bridge Engineering, 2021, vol. 2, iss. 16, pp. 1—11, DOI: 10.1186/s43251-021-00035-w.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Mao J., Wang H., Xu Y. et al. Deformation monitoring and analysis of a long-span cable-stayed bridge during strong typhoons, Advances in Bridge Engineering, 2020, vol.1, iss. 8, pp. 1—19, DOI: 10.1186/s43251-020-00008-5.</mixed-citation><mixed-citation xml:lang="en">Mao J., Wang H., Xu Y. et al. Deformation monitoring and analysis of a long-span cable-stayed bridge during strong typhoons, Advances in Bridge Engineering, 2020, vol.1, iss. 8, pp. 1—19, DOI: 10.1186/s43251-020-00008-5.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Yadav D., Barai S. V. Fuzzy inference driven internet based bridge management system. Transport, 2005, vol. 20, iss. 1, pp. 37—44, DOI: 10.3846/16484142.2005.9637993.</mixed-citation><mixed-citation xml:lang="en">Yadav D., Barai S. V. Fuzzy inference driven internet based bridge management system. Transport, 2005, vol. 20, iss. 1, pp. 37—44, DOI: 10.3846/16484142.2005.9637993.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Yu E., Wei H., Han Y. et al. Application of time series prediction techniques for coastal bridge engineering, Advances in Bridge Engineering, 2021, vol. 2, iss. 6, pp. 1—18, DOI: 10.1186/s43251-020-00025-4.</mixed-citation><mixed-citation xml:lang="en">Yu E., Wei H., Han Y. et al. Application of time series prediction techniques for coastal bridge engineering, Advances in Bridge Engineering, 2021, vol. 2, iss. 6, pp. 1—18, DOI: 10.1186/s43251-020-00025-4.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev T. Noise control of the Beginning and Development Dynamics of Accidents, New York, Springer, 2019, 201 p., DOI: 10.1007/978-3-030-12512-7.</mixed-citation><mixed-citation xml:lang="en">Aliev T. Noise control of the Beginning and Development Dynamics of Accidents, New York, Springer, 2019, 201 p., DOI: 10.1007/978-3-030-12512-7.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Yang Y. B., Lin C. W., Yau J. D. Extracting bridge frequencies from the dynamic response of a passing vehicle, Journal of Sound and Vibration, 2004, vol. 272, iss. 3—5, pp. 471—493, DOI:10.1016/S0022-460X(03)00378-X.</mixed-citation><mixed-citation xml:lang="en">Yang Y. B., Lin C. W., Yau J. D. Extracting bridge frequencies from the dynamic response of a passing vehicle, Journal of Sound and Vibration, 2004, vol. 272, iss. 3—5, pp. 471—493, DOI:10.1016/S0022-460X(03)00378-X.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Xin H., Cheng L., Diender R. et al. Fracture acoustic emission signals identification of stay cables in bridge enginee ring application using deep transfer learning and wavelet analysis, Advances in Bridge Engineering, 2020, vol. 1, iss. 6, pp. 1—16, DOI: 10.1186/s43251-020-00006-7.</mixed-citation><mixed-citation xml:lang="en">Xin H., Cheng L., Diender R. et al. Fracture acoustic emission signals identification of stay cables in bridge enginee ring application using deep transfer learning and wavelet analysis, Advances in Bridge Engineering, 2020, vol. 1, iss. 6, pp. 1—16, DOI: 10.1186/s43251-020-00006-7.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Olund J., DeWolf J. Passive Structural Health Monitoring of Connecticut’s Bridge Infrastructure, Journal of Infrastructure Systems, 2007, vol. 13, iss. 4, pp. 330—339, DOI: 10.1061/(ASCE)1076-0342(2007)13:4(330).</mixed-citation><mixed-citation xml:lang="en">Olund J., DeWolf J. Passive Structural Health Monitoring of Connecticut’s Bridge Infrastructure, Journal of Infrastructure Systems, 2007, vol. 13, iss. 4, pp. 330—339, DOI: 10.1061/(ASCE)1076-0342(2007)13:4(330).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Wang Ling-bo, Wang Qiu-ling, Zhu Zhao, Zhao Yu. Current Status and Prospects of Research on Bridge Health Monitoring Technology, China Journal of Highway and Transport, 2021, vol. 34, iss. 12, pp. 25—45. DOI: 10.19721/j.cnki.1001-7372.2021.12.003.</mixed-citation><mixed-citation xml:lang="en">Wang Ling-bo, Wang Qiu-ling, Zhu Zhao, Zhao Yu. Current Status and Prospects of Research on Bridge Health Monitoring Technology, China Journal of Highway and Transport, 2021, vol. 34, iss. 12, pp. 25—45. DOI: 10.19721/j.cnki.1001-7372.2021.12.003.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Sung Y. C., Lin T. K., Chiu Y. T., Chang K. C., Chen K. L., Chang C. C. A bridge safety monitoring system for prestressed composite box-girder bridges with corrugated steel webs based on in-situ loading experiments and a long-term monitoring database, Engineering Structures, 2016, vol. 126, pp. 571—585, DOI: 10.1016/j.engstruct.2016.08.006.</mixed-citation><mixed-citation xml:lang="en">Sung Y. C., Lin T. K., Chiu Y. T., Chang K. C., Chen K. L., Chang C. C. A bridge safety monitoring system for prestressed composite box-girder bridges with corrugated steel webs based on in-situ loading experiments and a long-term monitoring database, Engineering Structures, 2016, vol. 126, pp. 571—585, DOI: 10.1016/j.engstruct.2016.08.006.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Yang Y. B., Yang Judy P. State-of-the-Art Review on Modal Identification and Damage Detection of Bridges by Moving Test Vehicles, International Journal of Structural Stability and Dynamics, 2018, vol. 18, iss. 2, pp. 1850025, DOI: 10.1142/S0219455418500256.</mixed-citation><mixed-citation xml:lang="en">Yang Y. B., Yang Judy P. State-of-the-Art Review on Modal Identification and Damage Detection of Bridges by Moving Test Vehicles, International Journal of Structural Stability and Dynamics, 2018, vol. 18, iss. 2, pp. 1850025, DOI: 10.1142/S0219455418500256.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev T. A., Musaeva N. F. Decision-Making Technologies in Bridge Structure Monitoring Systems Based on the Noise Model. In: Proceedings of 5th International Conference on Problems of Cybernetics and Informatics (PCI), 2023, Baku, Azerbaijan, pp. 1—5, DOI: 10.1109/PCI60110.2023.10325948.</mixed-citation><mixed-citation xml:lang="en">Aliev T. A., Musaeva N. F. Decision-Making Technologies in Bridge Structure Monitoring Systems Based on the Noise Model. In: Proceedings of 5th International Conference on Problems of Cybernetics and Informatics (PCI), 2023, Baku, Azerbaijan, pp. 1—5, DOI: 10.1109/PCI60110.2023.10325948.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev T. A., Musaeva N. F., Suleymanova M. T. Algorithms for constructing the confidence interval for the mathematical expectation of the noise and their application in the control of the dynamics of accident development, Mekhatronika, Avtomatizatsiya, Upravlenie, 2020, vol. 21, no 9, pp. 521—529 (in Russian), DOI: 10.17587/mau.21.521-529</mixed-citation><mixed-citation xml:lang="en">Aliev T. A., Musaeva N. F., Suleymanova M. T. Algorithms for constructing the confidence interval for the mathematical expectation of the noise and their application in the control of the dynamics of accident development, Mekhatronika, Avtomatizatsiya, Upravlenie, 2020, vol. 21, no 9, pp. 521—529 (in Russian), DOI: 10.17587/mau.21.521-529</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Musaeva N. F. A robust method of estimation under ‘polluting’ rough errors, Automatic control and computer sciences, 2003, no. 6, pp. 50—64, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-1542579519&amp;origin=recordpage</mixed-citation><mixed-citation xml:lang="en">Musaeva N. F. A robust method of estimation under ‘polluting’ rough errors, Automatic control and computer sciences, 2003, no. 6, pp. 50—64, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-1542579519&amp;origin=recordpage</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Musaeva N. F. Technology for determining the magnitude of robustness as an estimate of statistical characteristic of noisy signal, Automatic control and computer sciences, 2005, vol. 39, no. 5, pp. 64—74, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-25144507620&amp;origin=recordpage.</mixed-citation><mixed-citation xml:lang="en">Musaeva N. F. Technology for determining the magnitude of robustness as an estimate of statistical characteristic of noisy signal, Automatic control and computer sciences, 2005, vol. 39, no. 5, pp. 64—74, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-25144507620&amp;origin=recordpage.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Pishro-Nik H. Introduction to Probability, Statistics, and Random Processes. Kappa Research, LLC, 2014, 744 p., available at: https://www.e-booksdirectory.com/details.php?ebook=10166.</mixed-citation><mixed-citation xml:lang="en">Pishro-Nik H. Introduction to Probability, Statistics, and Random Processes. Kappa Research, LLC, 2014, 744 p., available at: https://www.e-booksdirectory.com/details.php?ebook=10166.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev T. A., Musaeva N. F., Suleymanova M. T. Algorithms for Determining the Probability of Risks of Accidents in Tunnels Based on the Characteristics of the Noise of Noisy Signals, Mekhatronika, Avtomatizatsiya, Upravlenie, 2021, vol. 22, no. 7, pp. 353—364 (in Russian), DOI: 10.17587/mau.22.357-364.</mixed-citation><mixed-citation xml:lang="en">Aliev T. A., Musaeva N. F., Suleymanova M. T. Algorithms for Determining the Probability of Risks of Accidents in Tunnels Based on the Characteristics of the Noise of Noisy Signals, Mekhatronika, Avtomatizatsiya, Upravlenie, 2021, vol. 22, no. 7, pp. 353—364 (in Russian), DOI: 10.17587/mau.22.357-364.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev T. A., Musaeva N. F., Babayev T. A. et al. Technologies and intelligent systems for adaptive vibration control in rail transport, Transport Problems: An International Scientific Journal, 2022, vol. 17, no. 3, pp. 31—38, DOI: 10.20858/TP.2022.17.3.03.</mixed-citation><mixed-citation xml:lang="en">Aliev T. A., Musaeva N. F., Babayev T. A. et al. Technologies and intelligent systems for adaptive vibration control in rail transport, Transport Problems: An International Scientific Journal, 2022, vol. 17, no. 3, pp. 31—38, DOI: 10.20858/TP.2022.17.3.03.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Musaeva N. F., Aliyev E. R., Sattarova U. E., Gadimov R. M. Technology and algorithms for monitoring of the technical condition of high-rise buildings, construction and strategic objects in seismically active regions by means of sets of informative attributes, 4th International Conference "Problems of Cybernetics and Informatics", PCI 2012 Proceedings, Baku, 2012, vol. 2, pp. 109—115, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-84876004916&amp;origin=recordpage.</mixed-citation><mixed-citation xml:lang="en">Musaeva N. F., Aliyev E. R., Sattarova U. E., Gadimov R. M. Technology and algorithms for monitoring of the technical condition of high-rise buildings, construction and strategic objects in seismically active regions by means of sets of informative attributes, 4th International Conference "Problems of Cybernetics and Informatics", PCI 2012 Proceedings, Baku, 2012, vol. 2, pp. 109—115, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-84876004916&amp;origin=recordpage.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Musaeva N. F., Aliyev E. R., Sattarova U. E., Rzayeva N. F. Correlation matrices in problems of identification of seismic stability and technical condition of high-rise buildings and building structures, 4th International Conference "Problems of Cybernetics and Informatics", PCI 2012 — Proceedings, Baku, 2012, vol. 2, pp. 116—123, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-84875984284&amp;origin=recordpage.</mixed-citation><mixed-citation xml:lang="en">Musaeva N. F., Aliyev E. R., Sattarova U. E., Rzayeva N. F. Correlation matrices in problems of identification of seismic stability and technical condition of high-rise buildings and building structures, 4th International Conference "Problems of Cybernetics and Informatics", PCI 2012 — Proceedings, Baku, 2012, vol. 2, pp. 116—123, available at: https://www.scopus.com/record/display.uri?eid=2-s2.0-84875984284&amp;origin=recordpage.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
