Open AccessStabilization and robustness of constrained linear systems
Author(s) -
Mohamed Ouzahra
Publication year - 2013
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2013.1.35
Subject(s) - robustness (evolution) , hilbert space , mathematics , nonlinear system , control theory (sociology) , linear system , exponential function , class (philosophy) , mathematical optimization , computer science , pure mathematics , mathematical analysis , artificial intelligence , control (management) , biochemistry , chemistry , gene , physics , quantum mechanics
In this paper, we consider the feedback stabilization of linear systems in a Hilbert state space. The paper proposes a class of nonlinear controls that guarantee exponential sta- bility for linear systems. Applications to stabilization with saturating controls are provided. Also the robustness of constrained stabilizing controls is analyzed.
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