A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections (Q697801)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections |
scientific article |
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A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections (English)
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17 September 2002
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The authors present a general input-to-state stability (ISS)-type small-gain result. The small-gain theorem is proved for ISS operators, and the classical statement for ISS systems in state-space form is recovered. Applications are described for incrementally stable systems, detectable systems, and for interconnections of stable systems.
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small gain
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nonlinear systems
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input-to-state stability
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input-to-output stability
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interconnected systems
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incremental stability
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detectability
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