Lyapunov-based quantitative analysis of robust stability

Abstract

The robust stability of control systems with perturbation is considered. Using Lyapunov functions, quantitative bounds on the perturbation ave obtained such that the systems remain stable. Foul classes of perturbations are treated and four measures of robust stability are proposed: the nondelay unstructured, delayed unstructured, nondelay structured and delayed structured measures. Examples are given, and comparisons with the results given in current literature are made.