Absolute stability of a singularly perturbed Lur'e system and Lyapunov's matrix function
Copyright policy )Absolute stability of a singularly perturbed Lur'e system and Lyapunov's matrix function
In this paper [which is a continuation of the first author's article in e.g.: Dokl. Akad. Nauk SSSR 287, 786-789 (1986; Zbl 0611.34047)] the stability of a singularly perturbed system of the Lur'e form is analyzed on the basis of the Lyapunov matrix function (LMF). We obtain sufficient conditions for the absolute stability of a system of the Lur'e form and we indicate the bounds of the variation of the small parameter.
Lur'e system, sufficient conditions, Stability for nonlinear problems in mechanics, Dynamical systems and ergodic theory, singularly perturbed system, stability, Lyapunov matrix function, absolute stability
Lur'e system, sufficient conditions, Stability for nonlinear problems in mechanics, Dynamical systems and ergodic theory, singularly perturbed system, stability, Lyapunov matrix function, absolute stability
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