This article is cited in 5 papers

Deterministic Systems

Stability conditions of homogeneous systems with arbitrary switches of the operating modes

A. F. Filippov

Moscow

Abstract: The paper considers a two-dimensional homogeneous system either with arbitrary switches from one of given operating modes to any other or with coefficients varying in an unknown way between given boundaries. The conditions are found which are necessary and sufficient for the system to be asymptotically stable with any modes switches or the coefficient variations.

UDC: 62-503.4


Received: 30.07.1979

 English version: Automation and Remote Control, 1981, 41:8, 1078–1085

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