Partial stability analysis by means of semidefinite Lyapunov functions

Authors:	Ignatyev Alexander, Institute for Applied Mathematics and Mechanics, Ukraine Ignatyev Oleksiy, Kent State University, United States
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Stability I
Keywords:	Lyapunov functions; Partial stability; Nonlinear systems; Continuous time systems

Abstract

A nonautonomous system of ordinary differential equations is considered.This system has the zero solution, and there exists a nonnegative Lyapunovfunction which derivative is nonpositive. Theorems on the partial uniformstability and partial uniform asymptotic stability are proved.