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.
PACS:02.30.Hq, 02.30.Yy
Presented by the member of Editorial Board:L. B. Rapoport