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EnglishThis 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 |
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