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JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2014 Volume 3(21), Issue 2, Pages 52–58 (Mi pa182)

On the stabilization of the linear hybrid system structure

A. N. Kirillovab

a Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya St., 11, 185910 Petrozavodsk, Russia
b Petrozavodsk State University, Lenin Avenue, 33, 185910 Petrozavodsk, Russia

Abstract: The linear control hybrid system, consisting of a finite set of subsystems (modes) having different dimensions, is considered. The moments of reset time are determined by some complementary function – evolutionary time. This function satisfies the special complementary ordinary differential equation. The mode stabilization problem is solved for some class of piecewise linear controls. The method of stabilization relies on the set of invariant planes, the existence of which is due to the special form of the hybrid system.

Keywords: stabilization, variable structure, hybrid system.

MSC: 93B12

Received: 20.08.2014

Language: English

DOI: 10.15393/j3.art.2014.2589



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