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Output-to-state stability and detectability of nonlinear systems

✍ Scribed by Eduardo D. Sontag; Yuan Wang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
930 KB
Volume
29
Category
Article
ISSN
0167-6911

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✦ Synopsis

The notion of input-to-state stability (ISS) has proved to be useful in nonlinear systems analysis. This paper discusses a dual notion, output-to-state stability (OSS). A characterization is provided in terms of a dissipation inequality involving storage (Lyapunov) functions. Combining ISS and OSS there results the notion of input/output-to-state stability (IOSS), which is also studied and related to the notion of detectability, the existence of observers, and output injection.

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