4.7 Article

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

期刊

AUTOMATICA
卷 47, 期 9, 页码 2088-2093

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2011.06.018

关键词

Dynamical networks; Input-to-state stability (ISS); Small-gain; Lyapunov functions

资金

  1. Australian Research Councils [FF0455875]
  2. NYU
  3. POLY
  4. NSF [DMS-0906659]
  5. Australian Research Council [FF0455875] Funding Source: Australian Research Council

向作者/读者索取更多资源

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. (C) 2011 Elsevier Ltd. All rights reserved.

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