This article is cited in 13 papers

Deterministic Systems

Reduction of stability study of nonlinear dynamic systems by the second Lyapunov method

V. P. Zhukov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Consideration was given to the conditions for reduction of stability study by the second Lyapunov method of the original nonlinear autonomous dynamic system obeying a system of arbitrary-order ordinary differential equations to stability study of a simpler (abridged) dynamic system using the same method. For a wide class of original nonlinear dynamic systems, sufficient reduction conditions for asymptotic stability and instability were presented.

Presented by the member of Editorial Board: B. T. Polyak

Received: 14.04.2005

 English version: Automation and Remote Control, 2005, 66:12, 1916–1928

Bibliographic databases:

• 
• 
•