Title :
Uniform stability of sets for difference inclusions under summability criteria
Author :
Andrew R. Teel;Dragan Nešć;Antonio Loría;Elena Panteley
Author_Institution :
Electrical and Computer Engineering Department, The University of California, Santa Barbara, 93106-9560, USA
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.
Keywords :
"Stability criteria","Asymptotic stability","Integral equations","Convergence","Sampling methods","Lyapunov method","Design engineering","Control design","Sufficient conditions","Difference equations"
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Print_ISBN :
978-1-4244-3871-6
DOI :
10.1109/CDC.2009.5399608
