Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1646-1656 |
Number of pages | 11 |
Journal | Automatica |
Volume | 46 |
Issue number | 10 |
DOIs | |
State | Published - Oct 2010 |
Keywords
- Integral input-to-state stability
- Interconnected systems
- Lyapunov-Krasovskii functionals
- Nonlinear systems
- Time-delay
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering