SIAM Journal on Control and Optimization, Vol.42, No.1, 342-362, 2003
Variational inclusions under state constraints
We extend variational equations of ODEs to nonconvex differential inclusions under state constraints. As an application, we provide a direct proof of the maximum principle of the Pontryagin type for an optimal control problem with state constraints.
Keywords:differential inclusions;feasible trajectories;maximum principle;state constraints;variational inclusions