Construction of Lyapunov functions for nonlinear planar systems by linear programming (Q662089)
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scientific article; zbMATH DE number 6005704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of Lyapunov functions for nonlinear planar systems by linear programming |
scientific article; zbMATH DE number 6005704 |
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Construction of Lyapunov functions for nonlinear planar systems by linear programming (English)
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11 February 2012
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The authors extend recent results devoted to the construction of piecewise affine Lyapunov functions for planar dynamical systems with an exponentially stable equilibrium. They describe an algorithm based on a linear programming problem whose solution defines a Lyapunov function. It is proved that the algorithm always succeeds in constructing a Lyapunov function for the mentioned systems. The domain of the Lyapunov function is only limited by the region of attraction of the equilibrium.
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exponentially stable equilibrium
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piecewise affine Lyapunov function
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triangulation
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linear programming problem
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0.94612384
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0.9389423
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0.92866874
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0.92256427
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0.92198265
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