This paper considers interconnected retarded nonlinear systems. Integral input-to-state stable subsystems and the construction of LyapunovKrasovskii functionals for their interconnections are focused on. Both discrete and distributed time-delays in the subsystems and the communication channels are covered. This paper provides a sufficient small-gain type condition for the stability of the interconnected systems with respect to external inputs in the framework of LyapunovKrasovskii functionals. Global asymptotic stability is addressed as a special case which deals with time-varying delays in communication channels effectively.
Titolo: | A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals |
Autori: | |
Data di pubblicazione: | 2010 |
Rivista: | |
Abstract: | This paper considers interconnected retarded nonlinear systems. Integral input-to-state stable subsystems and the construction of LyapunovKrasovskii functionals for their interconnections are focused on. Both discrete and distributed time-delays in the subsystems and the communication channels are covered. This paper provides a sufficient small-gain type condition for the stability of the interconnected systems with respect to external inputs in the framework of LyapunovKrasovskii functionals. Global asymptotic stability is addressed as a special case which deals with time-varying delays in communication channels effectively. |
Handle: | http://hdl.handle.net/11697/2922 |
Appare nelle tipologie: | 1.1 Articolo in rivista |