An Extension of Popov Criterion to Multivariable Time-Varying Nonlinear Systems. Application to Criterion for Existence of Stable Limit Cycles

Abstract : This report deals with sufficient conditions for absolute stability of multivariable control systems. The proposed conditions extend in a simple way the classical Popov criterion to time-varying memoryless nonlinearities. They are expressed in terms of some Linear Matrix Inequalities (LMIs). A weaker frequency domain criterion is deduced, leading to a simple graphical interpretation. The results ensure in general local stability, however, the stability is global for example for linear time-varying systems. As an application, a Popov-like criterion for existence of stable periodic solutions for periodic systems is proposed, using previous results by the authors.
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Rapport
[Research Report] RR-3512, INRIA. 1998
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Dernière modification le : mardi 17 avril 2018 - 11:25:24
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Pierre-Alexandre Bliman, Alexander M. Krasnosel'Skii. An Extension of Popov Criterion to Multivariable Time-Varying Nonlinear Systems. Application to Criterion for Existence of Stable Limit Cycles. [Research Report] RR-3512, INRIA. 1998. 〈inria-00073172〉

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