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Lyapunov-ISS Cyclic-Small-Gain in Hybrid Dynamical Networks

Liu, Tengfei; Jiang, Zhong-Ping; Hill, David


This paper develops a cyclic-small-gain theorem for hybrid dynamical networks composed of continuous-time and discrete-time input-to-state stable (ISS) subsystems. The main result is achieved in two steps: a) A hybrid dynamical network composed of ISS subsystems with interconnection gains less than the identity is ISS; b) Any hybrid dynamical networks satisfying the cyclic-small-gain condition can be transformed into networks with interconnection gains less than the identity. The sampling times...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Conference paper
Source: Proceedings of NOLCOS 2010
DOI: 10.3182/20100901-3-IT-2016.00016


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