Journal
SYSTEMS & CONTROL LETTERS
Volume 59, Issue 3-4, Pages 241-247Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2010.02.001
Keywords
Local input-to-state stability; Interconnected systems; Large-scale system; Small-gain condition; Lyammov function
Funding
- German Research Foundation (DFG), Collaborative Research Center [637]
- Australian Research Council [DP0771131, DP0880494]
- Australian Research Council [DP0771131, DP0880494] Funding Source: Australian Research Council
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We consider interconnections of locally input-to-state stable (LISS) systems. The class of LISS systems is quite large, in particular it contains input-to-state stable (ISS) and integral input-to-state stable (iISS) systems. Local small-gain conditions both for LISS trajectory and Lyapunov formulations guaranteeing LISS of the composite system are provided in this paper. Notably, estimates for the resulting stability region of the composite system are also given. This in particular provides an advantage over the linearization approach, as will be discussed. (C) 2010 Elsevier B.V. All rights reserved.
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