Abstract
A certain class of nonlinear switched systems is considered. Methods of developing Lyapynov functions for the systems under study are suggested. Conditions are defined, in the fulfillment of which the asymptotic stability of the zero solution will take place for any witching laws and for any admissible nonlinearities entering into right sides of the equations under discussion.
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Original Russian Text © A.Yu. Aleksandrov, A.V. Platonov, 2008, published in Avtomatika i Telemekhanika, 2008, No. 7, pp. 3–18.
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Aleksandrov, A.Y., Platonov, A.V. On absolute stability of one class of nonlinear switched systems. Autom Remote Control 69, 1101–1116 (2008). https://doi.org/10.1134/S0005117908070011
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DOI: https://doi.org/10.1134/S0005117908070011