Abstract
The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems. An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems.
Original language | English (US) |
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Pages (from-to) | 1211-1215 |
Number of pages | 5 |
Journal | Automatica |
Volume | 32 |
Issue number | 8 |
DOIs | |
State | Published - Aug 1996 |
Keywords
- Interconnected systems
- Lyapunov function
- Nonlinear gain
- Stability
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering