Solutions to Lyapunov stability problems: Nonlinear systems with continuous motions (Q1335516)
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scientific article; zbMATH DE number 650831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions to Lyapunov stability problems: Nonlinear systems with continuous motions |
scientific article; zbMATH DE number 650831 |
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Solutions to Lyapunov stability problems: Nonlinear systems with continuous motions (English)
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9 October 1994
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Summary: The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of \(o\)-uniquely bounded sets, which are explained in the paper. They allow arbitrary selection of an \(o\)- uniquely bounded set to generate a Lyapunov function.
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accurate construction of a Lyapunov function
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asymptotic stability domain
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\(o\)-uniquely bounded sets
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0.9430238
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0.92489886
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0.9177761
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0.9087336
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0.90861154
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