Analysis of stability problems via matrix Lyapunov functions (Q750715)
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scientific article; zbMATH DE number 4175467
| Language | Label | Description | Also known as |
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| English | Analysis of stability problems via matrix Lyapunov functions |
scientific article; zbMATH DE number 4175467 |
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Analysis of stability problems via matrix Lyapunov functions (English)
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1990
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Summary: The stability of nonlinear systems is analyzed by Lyapunov's direct method in terms of Lyapunov matrix functions. The paper surveys the main theorems on stability, asymptotic stability and instability. They are applied to systems of nonlinear equations, singular perturbed systems and hybrid systems. The results are demonstrated by an example of a two- component system.
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stability of nonlinear systems
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Lyapunov's direct method
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Lyapunov matrix functions
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asymptotic stability
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instability
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singular perturbed systems
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hybrid systems
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