Abstract
In this contribution, we consider a class of hybrid systems with continuous dynamics andjumps in the continuous state (impulsive hybrid systems). By using a newly elaborated version ofthe Pontryagin-type Maximum Principle (MP) for optimal control processes governed by hybriddynamics with autonomous location transitions, we extend the necessary optimality conditions to aclass of Impulsive Hybrid Optimal Control Problems (IHOCPs). For these problems, we obtain aconcise characterization of the Impulsive Hybrid MP (IHMP), namely, the correspondingboundary-value problem and some additional relations. As in the classical case, the proposed IHMPprovides a basis for diverse computational algorithms for the treatment of IHOCPs. © 2008 Springer-Verlag Berlin Heidelberg.