Quasi-dissipativeness and \(L\)-dissipativeness of nonlinear systems (Q1594151)
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scientific article; zbMATH DE number 1557485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-dissipativeness and \(L\)-dissipativeness of nonlinear systems |
scientific article; zbMATH DE number 1557485 |
Statements
Quasi-dissipativeness and \(L\)-dissipativeness of nonlinear systems (English)
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28 January 2001
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This paper establishes boundedness conditions for solutions to systems with a nonlinear nominal part based on averaged integral quasi-dissipation inequalities. Necessary and sufficient quasi-dissipation conditions are obtained in terms of a supply function, and the composition of quasi-dissipative systems is shown to be dissipative in the sense of Levinson (\(L\)-dissipative).
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boundedness conditions
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nonlinear
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quasi-dissipation inequalities
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supply function
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