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On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method - MaRDI portal

On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method (Q1099321)

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scientific article; zbMATH DE number 4040350
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English
On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method
scientific article; zbMATH DE number 4040350

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    On estimating the attraction regions of the equilibrium states of dynamic systems by the direct Lyapunov method (English)
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    1985
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    The authors make use of the method of non-local reduction for estimating the attraction regions of asymptotically stable equilibriums of states of dynamical systems linked to the construction of Lyapunov functions in which the trajectories of two-dimensional systems are contained. The authors propose a new class of functions, widening a class of functions obtained by Lur'e-Postnikov.
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    attraction regions
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    Lyapunov functions
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