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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2008 Issue 7, Pages 3–18 (Mi at681)

This article is cited in 25 papers

Deterministic Systems

On absolute stability of one class of nonlinear switched systems

A. Yu. Aleksandrov, A. V. Platonov

Saint-Petersburg State University

Abstract: A certain class of nonlinear switched systems is considered. Methods of developing Lyapynov functions for the systems under study are suggested. Conditions are defined, in the fulfillment of which the asymptotic stability of the zero solution will take place for any witching laws and for any admissible nonlinearities entering into right sides of the equations under discussion.

PACS: 02.30.Hq, 02.30.Yy

Presented by the member of Editorial Board: L. B. Rapoport

Received: 18.09.2007


 English version:
Automation and Remote Control, 2008, 69:7, 1101–1116

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© Steklov Math. Inst. of RAS, 2026