A. Aleksandrov, E. Aleksandrova, A. Platonov, G. Dai
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Stability analysis and estimation of the attraction domain for a class of hybrid nonlinear systems
A switched system generated by the family of homogeneous subsystems with homogeneity orders less than one is studied. It is assumed that the zero solution of each subsystem is asymptotically stable. On the basis of the dwell-time approach, conditions on switching law are determined under which a given spherical neighborhood of the origin is contained in the attraction domain of the zero solution of the corresponding hybrid system.
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