Differential inclusions and quasi-Lyapunov functions (2511.06100v1)

Published 8 Nov 2025 in math.OC

Abstract: A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obtained. An Olech-type result is obtained as a corollary. An example, which originates from the Fuller problem from optimal control theory, is given to demonstrate the applicability of the main result.

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