Ye, J.J.Zhu, Q.J.2009-09-242009-09-2419942009-09-24http://hdl.handle.net/1828/1766In this paper we derive an estimate for the G-subderivative of the value function associated with a perturbed optimization problem with differential inclusion constraints. We then apply this result to obtain a necessary condition for a solution to a bilevel dynamic problem.ensensitivity analysisnonsmooth analysisvalue functionweak Hadamard differentiabilitybilevel dynamic problemsnecessary conditionsTechnical Report