Stability investigation of invariant sets by means of semidefinite Lyapunov functions (Q533031)
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scientific article; zbMATH DE number 5882881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability investigation of invariant sets by means of semidefinite Lyapunov functions |
scientific article; zbMATH DE number 5882881 |
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Stability investigation of invariant sets by means of semidefinite Lyapunov functions (English)
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2 May 2011
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The authors establish sufficient conditions for the uniform stability of invariant sets of nonautonomous systems of differential equations, for which there exists a nonnegative Lyapunov function whose derivative is nonpositive. An example to illustrate the applicability of the main result is given.
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invariant set
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uniform stability
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Lyapunov's second method
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nonautonomous systems of differential equations
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