This article is cited in 3 papers

Nonlinear Systems

Attraction domains of systems with polynomial nonlinearities

A. I. Barkin

Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia

Abstract: A novel method is presented for estimating attraction domains of the zero solution of systems of differential equations with stable linear component and nonlinear components of degrees two and three. A new class of Lyapunov functions is proposed. The efficiency of the approach is illustrated via examples.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 12.06.2014

 English version: Automation and Remote Control, 2015, 76:7, 1156–1168

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