V. A. Kamenetskii, “A convolution method of matrix inequalities and absolute stability criteria for stationary control systems”, Avtomat. i Telemekh., 1989, Issue 5,Pages <nobr>28

This article is cited in 4 papers

Deterministic Systems

A convolution method of matrix inequalities and absolute stability criteria for stationary control systems

V. A. Kamenetskii

Moscow

Abstract: Frequency criteria are obtained for absolute stability and instability from necessary and sufficient conditions for existence of Lyapunov functions in the class of quadratic forms with addition of integrals over nonlinearities. For control systems having several stationary nonlinear blocks these criteria make the conventional frequency criteria stronger.

UDC: 519.718

Received: 25.08.1987