A generalization of Zubov's method to perturbed systems (Q2753215)

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scientific article; zbMATH DE number 1667492
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A generalization of Zubov's method to perturbed systems
scientific article; zbMATH DE number 1667492

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    29 October 2001
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    asymptotic stability
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    Zubov's method
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    robust stability
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    domain of attraction
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    viscosity solutions
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    A generalization of Zubov's method to perturbed systems (English)
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    The authors consider the development of Zubov's method for the determination of the domain of attraction of an asymptotically stable fixed point. Zubov's idea to reduce the problem to the existence of a solution to a suitable partial differential equation for the Lyapunov function is modified.
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