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Avtomatika i Telemekhanika, 2006, Issue 10, Pages 86–119 (Mi at1246)  

This article is cited in 104 scientific papers (total in 104 papers)

Essays on the absolute stability theory

M. R. Liberzon

Moscow State Aviation Technological University
References:
Abstract: A brief historical background of the development of the absolute stability theory was presented, and some of its methods and approaches, as well as the results obtained using them, were discussed. The kinds of systems under consideration are named, and applications of the methods and results of the absolute stability theory to other scientific and practical fields for solution of the engineering, mechanical, physical, and other problems were presented.
Presented by the member of Editorial Board: B. T. Polyak

Received: 25.01.2006
English version:
Automation and Remote Control, 2006, Volume 67, Issue 10, Pages 1610–1644
DOI: https://doi.org/10.1134/S0005117906100043
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: M. R. Liberzon, “Essays on the absolute stability theory”, Avtomat. i Telemekh., 2006, no. 10, 86–119; Autom. Remote Control, 67:10 (2006), 1610–1644
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at1246
  • https://www.mathnet.ru/eng/at/y2006/i10/p86
  • This publication is cited in the following 104 articles:
    1. Chris Guiver, “Passivity theorems for input-to-state stability of forced Lur'e inclusions and equations, and consequent entrainment-type properties”, ESAIM: COCV, 31 (2025), 22  crossref
    2. Joaquin Carrasco, William Heath, Peter Seiler, Reference Module in Materials Science and Materials Engineering, 2025  crossref
    3. V. A. Kamenetskiy, “The circle criterion and Tsypkin's criterion for systems with several nonlinearities without the use of the S-procedure”, Sb. Math., 215:2 (2024), 169–182  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    4. Ross Drummond, Chris Guiver, Matthew C Turner, “Exponential input-to-state stability for Lur'e systems via Integral Quadratic Constraints and Zames–Falb multipliers”, IMA Journal of Mathematical Control and Information, 41:1 (2024), 1  crossref
    5. Danilo R. Lima, Rosane Ushirobira, Denis Efimov, 2024 European Control Conference (ECC), 2024, 1741  crossref
    6. Junfeng Zhang, Christophe Combastel, Denis Efimov, Ali Zolghadri, 2024 European Control Conference (ECC), 2024, 639  crossref
    7. Violaine Piengeon, Chris Guiver, “A linear dissipativity approach to incremental input-to-state stability for a class of positive Lur'e systems”, International Journal of Control, 2024, 1  crossref
    8. Anton V. Proskurnikov, Alexander Davydov, Francesco Bullo, “The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms”, SIAM J. Control Optim., 61:4 (2023), 1955  crossref
    9. A.V. Platonov, “On the asymptotic and practical stability of Persidskii-type systems with switching”, Nonlinear Analysis: Hybrid Systems, 48 (2023), 101318  crossref
    10. Alexander Fradkov, “International Stability under Iterated Sanctions and Counter-sanctions”, IFAC-PapersOnLine, 56:2 (2023), 11010  crossref
    11. Nguyen Khoa Son, Nguyen Thi Hong, “Absolute Exponential Stability Criteria for Some Classes of Nonlinear Time-Varying Systems with Delays and Sector Nonlinearities”, Vietnam J. Math., 2023  crossref
    12. Ross Drummond, Chris Guiver, Matthew C. Turner, “Aizerman Conjectures for a Class of Multivariate Positive Systems”, IEEE Trans. Automat. Contr., 68:8 (2023), 5073  crossref
    13. Karima Dib, Dalila Azzam-Laouir, “Existence solutions for a couple of differential inclusions involving maximal monotone operators”, Applicable Analysis, 102:9 (2023), 2628  crossref
    14. Zhang F., Wen G., Zemouche A., Yu W., Park J.H., “Output-Feedback Self-Synchronization of Directed Lur'E Networks Via Global Connectivity”, IEEE T. Cybern., 52:7 (2022), 6490–6503  crossref  isi
    15. Jeon P.R., Hong M.S., Braatz R.D., “Compact Neural Network Modeling of Nonlinear Dynamical Systems Via the Standard Nonlinear Operator Form”, Comput. Chem. Eng., 159 (2022), 107674  crossref  isi  scopus
    16. C. J. Edholm, C. Guiver, R. Rebarber, B. Tenhumberg, S. Townley, “Stabilization by Adaptive Feedback Control for Positive Difference Equations with Applications in Pest Management”, SIAM J. Control Optim., 60:4 (2022), 2214  crossref
    17. Wenjie Mei, Rosane Ushirobira, Denis Efimov, “On nonlinear robust state estimation for generalized Persidskii systems”, Automatica, 142 (2022), 110411  crossref
    18. Ross Drummond, Chris Guiver, Matthew C. Turner, 2022 UKACC 13th International Conference on Control (CONTROL), 2022, 100  crossref
    19. Alexander N. Pisarchik, Alexander E. Hramov, Springer Series in Synergetics, Multistability in Physical and Living Systems, 2022, 45  crossref
    20. Wenjie Mei, Denis Efimov, Rosane Ushirobira, “On Input-to-Output Stability and Robust Synchronization of Generalized Persidskii Systems”, IEEE Trans. Automat. Contr., 67:10 (2022), 5578  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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