Uniformly Stability of a Class of Quasi-linear Parabolic Distributed Parameter Systems

Abstract

The paper is devoted to the stability of a class of quasi-linear parabolic distributed parameter system (DPS). By using the linear matrix inequality (LMI) and Lyapunov functional methods, a sufficient condition is derived to ensure the uniformly stability of quasi-linear parabolic DPS. The numerical simulations are presented. i i i l p x t p x t p x t p x t x x x           ,