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Absolute stability of a singularly perturbed Lur’e system and Lyapunov’s matrix function. (English. Russian original) Zbl 0661.70028

Sov. Appl. Mech. 23, No. 9, 889-895 (1987); translation from Prikl. Mekh., Kiev 23, No. 9, 103-110 (1987).
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.

MSC:

70K20 Stability for nonlinear problems in mechanics
37-XX Dynamical systems and ergodic theory

Citations:

Zbl 0611.34047
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References:

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