Methods of Optimization

Study of stability of nonlinear autonomous dynamical systems without the use of Lyapunov functions

A. N. Katulev, A. Yu. Kuznetsov

Tver State University, Tver

Abstract: Theorems proved necessary and sufficient conditions of stability nonlinear dynamic systems, which provided by differential equations, systems of equations with partial derivatives, integral and integral- differential equations, which reduces to ordinary differential equations, are developed. The Lapunov's functions aren't built.

Keywords: stability, nonlinear, dynamic system.

UDC: 519.9

Received: 16.09.2011
Revised: 19.11.2011

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