Automatica, Vol.48, No.9, 1998-2006, 2012
Lyapunov functions for time-relevant 2D systems, with application to first-orthant stable systems
We perform a Lyapunov stability analysis of a special class of 2-D systems, those for which one of the independent variables plays a distinguished role. We show how to construct Lyapunov functionals for this class using LMIs. We also apply our results to the study of quarter-plane stability. (C) 2012 Elsevier Ltd. All rights reserved.
Keywords:2-D systems;Time-relevance;Lyapunov stability;Quadratic difference forms;Linear matrix inequalities