A maximum time approach to the computation of robust domains of attraction

M. Falcone, L. Grüne, F. Wirth: A maximum time approach to the computation of robust domains of attraction
in: EQUADIFF 99, Berlin, B. Fiedler, K. Gröger, J. Sprekels (eds.)
World Scientific, Singapore, 2000, 844 - 849

Smart-Link: http://www.worldscientific.com/
Keywords: numerical example; dynamical systems; stability; optimal control; algorithm; domains of attraction; Hamilton-Jacobi equations
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Abstract:

We present an optimal control based algorithm for the computation of robust domains of attraction for perturbed systems. We give a sufficient condition for the continuity of the optimal value function and a characterization by Hamilton-Jacobi equations. A numerical scheme is presented and illustrated by an example.

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