This article is cited in 13 papers

Deterministic Systems

Lyapunov functions detemining the necessary and sufficient conditions for absolute stability of nonlinear nostationary control systems. III

A. P. Molchanov, E. S. Pyatnitskiĭ

Moscow

Abstract: For nonlinear control systems incorporating several nonlinear elements that satisfy sector-like constraints the necessary and sufficient stability conditions are obtained in terms of solvability of a system of matrix equations. In a similar form, the necessary and sufficient conditions are found for asymptotical stability of linear stationary systems, and differential inclusions of a special form.

UDC: 62-501.52


Received: 12.06.1985

 English version: Automation and Remote Control, 1986, 47:5, 620–630

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