Deterministic Systems

Synthesis of control systems using singularly perturbed differential equations

N. N. Karpinskaya, M. I. Markechko, M. V. Rybashov

Moscow

Abstract: The paper is concerned with a set of singularly disturbed differential equations. A degenerate set of differential equations has an equilibrium position which is asymptotically stable on the whole. Sufficient conditions are provided under which the solutions of a disturbed set converge to a small vicinity of the equilibrium position of the degenerate system. The theoretical findings are used in design of control systems.

UDC: 62-501.45


Received: 19.10.1983

 English version: Automation and Remote Control, 1985, 46:4, 434–442

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