Automatica, Vol.46, No.10, 1646-1656, 2010
A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals
This paper considers interconnected retarded nonlinear systems. Integral input-to-state stable subsystems and the construction of Lyapunov-Krasovskii 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 Lyapunov-Krasovskii functionals. Global asymptotic stability is addressed as a special case which deals with time-varying delays in communication channels effectively. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:Time-delay;Nonlinear systems;Interconnected systems;Lyapunov-Krasovskii functionals;Integral input-to-state stability