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The practical feedback stabilization for evolution equations in Banach spaces

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Języki publikacji
EN
Abstrakty
EN
This paper investigates the notion of practical feedback stabilization of evolution equations satisfying some relaxed conditions in infinite-dimensional Banach spaces. Moreover, sufficient conditions are presented that guarantee practical stabilizability of uncertain systems based on Lyapunov functions. These results are applied to partial differential equations.
Rocznik
Strony
58--65
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
  • Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Route Soukra BP1171, 3000 Sfax, Tunisia
Bibliografia
  • 1. Chen P. (2021), Periodic solutions to non-autonomous evolution equations with multi-delays, Discrete and Continuous Dynamical Systems, 26(6), 2921–2939.
  • 2. Chen P., Zhang X., Li Y. (2020a), Cauchy problem for fractional non-autonomous evolution equations, Banach Journal of Mathematical Analysis, 14(2), 559–584.
  • 3. Chen P., Zhang X., Li Y. (2020b), Existence approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators, Fractional Calculus Applied Analysis, 23(1), 268–291.
  • 4. Chen P., Zhang X., Li Y. (2020c), Approximate Controllability of Non-autonomous Evolution System with Nonlocal Conditions, Journal of Dynamical Control Systems, 26(1), 1–16.
  • 5. Chen P., Zhang X., Li Y. (2021), Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families, Discrete and Continuous Dynamical Systems, 26(3), 1531–1547.
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  • 8. Damak H. (2020), Asymptotic stability of a perturbed abstract differential equations in Banach spaces, Operators matrices, 14, 129–138.
  • 9. Damak H. (2021), Input-to-state stabilty integral input-to-state stability of non-autonomous infinite-dimensional systems, International Journal of Systems Sciences. https://doi.org/10.1080/00207721.2021.1879306.
  • 10. Damak H., Ellouze I., Hammami M.A. (2013), A separation principle of a class of time-varying nonlinear systems, Nonlinear Dynamics Systems Theory, 13, 133–143.
  • 11. Damak H., Hammami M.A. (2016), Stabilization Practical Asymptotic Stability of Abstract Differential Equations, Numerical Functional Analysis Optimization, 37, 1235–1247.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b8c71eef-0cdc-45a5-9960-bc3685989481
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