Lyapunov stability analysis of special class of PDE systems

Abstract

In this paper, stability analysis for Partial Differential Equation systems is investigated using lyapunov stability theorem. Both parabolic and hyperbolic PDEs as representatives of heat and wave equations will be considered, respectively. we also consider Ginzburg-Landau equation a kind of complex valued PDE. The condition for asymptotic stability will be obtained using the presented analysis.