Deterministic Systems

$L_{2p}$-stability and absolute stability of nonlinear systems

A. I. Barkin

Moscow

Abstract: A frequency criterion is derived for stability of a nonlinear system with one nonlinear element in the functional space $L_{2p}(0;\infty)$ which is at the same time the criterion of absolute stability in face of signals such as initial conditions. The stability region in the parameter space is expanded in comparison with conventional criteria.

UDC: 62-501.52


Received: 14.12.1981

 English version: Automation and Remote Control, 1983, 44:10, 1290–1295

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