Construction of a CPA contraction metric for periodic orbits using semidefinite optimization (Q392469)
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scientific article; zbMATH DE number 6244966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of a CPA contraction metric for periodic orbits using semidefinite optimization |
scientific article; zbMATH DE number 6244966 |
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Construction of a CPA contraction metric for periodic orbits using semidefinite optimization (English)
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14 January 2014
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periodic differential equation
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contraction metric
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periodic orbit, basin of attraction
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semidefinite optimization
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Let NEWLINE\[NEWLINE \dot{x} = f(t,x) \;,\;f(t,x)\equiv f(t+T,x)\, \forall (t,x)\in\mathbb R\times\mathbb R^n NEWLINE\]NEWLINE be a periodic system. The problem of studying the basin of attraction of a unique periodic solution is considered. It is constructed a Riemannian metric for the system allowing formulating a semi-definite optimization problem for the construction of a Liapunov function in order to evaluate the basin of attraction of the periodic solution.
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