Lyapunov Formulation of ISS Small-gain in Dynamical Networks

Date

2009

Authors

Liu, Tengfei
Hill, David
Jiang, Zhong-Ping

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

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

Description

Keywords

Keywords: Dynamical networks; Input to state stable; ISS-Lyapunov functions; Lyapunov; Small gain theorem; Lyapunov functions; Differential equations

Citation

Source

Proceedings of IEEE Conference on Decision and Control and Chinese Control Conference 2009

Type

Conference paper

Book Title

Entity type

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Restricted until

2037-12-31