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A small gain theorem for locally input to state stable interconnected systems

✍ Scribed by M.P. Tzamtzi; S.G. Tzafestas

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 114 KB
Volume: 336
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(99)00013-7

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✦ Synopsis

A small-gain theorem for nonlinear systems is established, which, when applied to interconnections of locally input-to-state stable systems, can ensure the `local input-to-state practical stabilitya of the interconnection. This concept of stability denotes that the state of the interconnection remains bounded for su$ciently small input and initial conditions, but it does not tend to zero for zero input.

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