Constructing the Lyapunov function through solving positive dimensional polynomial system (Q1791356)
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scientific article; zbMATH DE number 6950912
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructing the Lyapunov function through solving positive dimensional polynomial system |
scientific article; zbMATH DE number 6950912 |
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Constructing the Lyapunov function through solving positive dimensional polynomial system (English)
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10 October 2018
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Summary: We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative. Then, the positive polynomial system is converted into an equation system by adding some variables. Finally, numerical technique is applied to solve the equation system. Some experiments show the efficiency of our new algorithm.
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