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Avtomatika i Telemekhanika, 2009, Issue 9, Pages 4–55 (Mi at524)  

This article is cited in 47 scientific papers (total in 47 papers)

Surveys

The Lyapunov functionals method in stability problems for functional differential equations

A. S. Andreev

Ulyanovsk State University
References:
Abstract: The paper presents a survey of stability results for retarded functional differential equations with the Lyapunov functional method.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 26.01.2009
English version:
Automation and Remote Control, 2009, Volume 70, Issue 9, Pages 1438–1486
DOI: https://doi.org/10.1134/S0005117909090021
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ks
Language: Russian
Citation: A. S. Andreev, “The Lyapunov functionals method in stability problems for functional differential equations”, Avtomat. i Telemekh., 2009, no. 9, 4–55; Autom. Remote Control, 70:9 (2009), 1438–1486
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at524
  • https://www.mathnet.ru/eng/at/y2009/i9/p4
  • This publication is cited in the following 47 articles:
    1. J. I. Buranov, J. Kh. Khusanov, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 3119, THE INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE RAKHMATULIN READINGS, 2024, 060002  crossref
    2. Gholami H. Shafiei M.H. Safarinejadian B., “Observer-Based Finite-Time Passive Control of Discrete-Time Switched Nonlinear Systems With Time-Delay”, Int. J. Adapt. Control Signal Process., 36:6 (2022), 1394–1418  crossref  isi
    3. I. A. Finogenko, “Method of limiting differential inclusions and asymptotic behavior of systems with relay controls”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 42 (2022), 90–102  mathnet  crossref
    4. I. I. Matveeva, “Estimates for solutions to a class of nonautonomous systems of neutral type with unbounded delay”, Siberian Math. J., 62:3 (2021), 468–481  mathnet  crossref  crossref  isi  elib
    5. I. I. Matveeva, “Estimates for Solutions to a Class of Nonlinear Time-Varying Delay Systems”, Lobachevskii J Math, 42:14 (2021), 3497  crossref
    6. Aleksandr Andreev, Olga Peregudova, Lubov Kolegova, 2021 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2021, 183  crossref
    7. A. S. Andreev, O. A. Peregudova, “Lyapunov Functional Method in the Stability Problem of Volterra Integro-Differential Equations with Infinite Delay”, Mech. Solids, 56:8 (2021), 1514  crossref
    8. Aleksandr Andreev, Olga Peregudova, Lubov Kolegova, 2021 5th Scientific School Dynamics of Complex Networks and their Applications (DCNA), 2021, 14  crossref
    9. Matveeva I.I., “Exponential Stability of Solutions to Nonlinear Time-Varying Delay Systems of Neutral Type Equations With Periodic Coefficients”, Electron. J. Differ. Equ., 2020, 20  mathscinet  isi
    10. I. I. Matveeva, “Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients”, Comput. Math. Math. Phys., 60:4 (2020), 601–609  mathnet  crossref  crossref  isi  elib
    11. Aleksandr Andreev, Yulia Petrovicheva, 2020 2nd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2020, 153  crossref
    12. Aleksandr Andreev, Olga Peregudova, Lubov Kolegova, 2020 2nd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2020, 117  crossref
    13. I. I. Matveeva, “Ob eksponentsialnoi ustoichivosti reshenii lineinykh periodicheskikh sistem neitralnogo tipa s peremennym zapazdyvaniem”, Sib. elektron. matem. izv., 16 (2019), 748–756  mathnet  crossref
    14. I. I. Matveeva, “Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients”, J. Appl. Industr. Math., 13:3 (2019), 511–518  mathnet  crossref  crossref  elib
    15. Sedova N., Pertseva I., “Lmi and Sdp Technique For Stability Analysis of Nonlinear Delay Systems Subject to Constraints”, Optim. Lett., 13:8, SI (2019), 1937–1952  crossref  mathscinet  isi  scopus
    16. Andreev A., Peregudova O., “On Time-Delayed Feedback Trajectory Tracking Control of a Mobile Robot With Omni-Wheels”, 2019 12Th International Workshop on Robot Motion and Control (Romoco `19), International Workshop on Robot Motion and Control, IEEE, 2019, 143–147  isi
    17. Andreev A., Peregudova O., “Volterra Equations in the Control Problem of Mechanical Systems”, 2019 23Rd International Conference on System Theory, Control and Computing (Icstcc), International Conference on System Theory Control and Computing, ed. Precup R., IEEE, 2019, 298–303  isi
    18. Andreev A.S., Peregudova O.A., “Semi-Definite Lyapunov Functionals in the Stability Problem of Volterra Integral-Differential Equations”, IFAC PAPERSONLINE, 52:18 (2019), 103–108  crossref  mathscinet  isi  scopus
    19. A. S. Andreev, E. V. Levschanova, “Ustoichivost nestatsionarnoi modeli «khischnik-zhertva» s uchetom zapazdyvaniya”, Uchenye zapiski UlGU. Seriya “Matematika i informatsionnye tekhnologii”, 2019, no. 2, 1–7  mathnet
    20. Aleksandr Andreev, Olga Peregudova, 2019 12th International Workshop on Robot Motion and Control (RoMoCo), 2019, 143  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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