Conference Proceedings
Uniform stability of sets for difference inclusions under summability criteria
Andrew R Teel, Dragan Nesic, Antonio Loria, Elena Panteley
Proceedings of the Joint 48th IEEE Conference on Decision and Control (CDC) / 28th Chinese Control Conference (CCC) | IEEE | Published : 2009
Abstract
We present equivalent characterizations of uniform global exponential stability and uniform global asymptotic stability of arbitrary closed not necessarily compact sets for nonlinear difference inclusions. Our conditions are established in the form of summability criteria that do not require the knowledge of a Lyapunov function.