Stabilization and Practical Asymptotic Stability of Abstract Differential Equations |
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Authors: | H Damak |
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Institution: | Department of Mathematics, University of Sfax, Sfax, Tunisia |
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Abstract: | This article studies the problem of stabilization of the infinite-dimension time-varying control systems in Hilbert spaces. We consider the problem of practical asymptotic stability with respect to a continuous functional for a class of abstract nonlinear infinite-dimensional processes with multivalued solutions on a metric space when the origin is not an equilibrium point. In the case of the existence of a differentiable Lyapunov functional, we obtain sufficient conditions for the practical stability of continuous semigroups in a Banach space. |
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Keywords: | Abstract differential equations controllability Lyapunov functions practical stability Ricatti equation stabilization |
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