Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions a...

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Bibliographic Details
Published in:Automatica (Oxford) 2011-09, Vol.47 (9), p.2088-2093
Main Authors: Liu, Tengfei, Hill, David J., Jiang, Zhong-Ping
Format: Article
Language:English
Subjects:
Applied sciences
Automation
Computer science
control theory
systems
Construction
Control system analysis
Control theory. Systems
Dynamical networks
Dynamical systems
Dynamics
Exact sciences and technology
Formulations
Input-to-state stability (ISS)
Lyapunov functions
Networks
Small-gain
Theorems
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Summary:This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2011.06.018