Study on the minimum principle of hybrid impulsive and switching systems with restricted terminal states

The optimal control problem is studied for a class of hybrid dynamical systems (HDS), namely, hybrid impulsive and switching systems (HISS). Then the minimum principle of HISS is given, and then is proved by needle-shaped variational method and matrix-structured cost functional. Based on this main result, a class of linear HISS is illustrated and the optimal control algorithm is given. Moreover, the cases of pure impulsive systems and pure switched systems are discussed in this paper.