Title :
A note on input-to-state stability of linear and bilinear infinite-dimensional systems
Author :
Andrii Mironchenko;Fabian Wirth
Author_Institution :
Faculty of Computer Science and Mathematics, University of Passau, Innstraß
Abstract :
We propose a construction of Lyapunov functions for linear and bilinear infinite-dimensional integral input-to-state stable systems. In contrast to other constructions available in the literature, we do not impose strong restrictions on the type of the bilinear systems. The coercivity of such Lyapunov functions as well as a possible extension to systems with unbounded input operators are discussed.
Keywords :
"Lyapunov methods","Nonlinear systems","Stability analysis","Linear systems","Asymptotic stability","Robust stability","Robustness"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7402277
