摘要：AbstractIn this paper, we consider a nonconvex differential inclusion with constant delay. We study the existence of viable solutions when the state is constrained to the closure of an open subset ofRn.The main contribution is a relaxation result stating that, under some assumptions, each “viable solution” of the convexified inclusion can be approximated by “viable solutions” of the original one. This result is obtained thanks to an extension of the celebrated Filippov’s theorem to the case of delay differential inclusions.
