On the maximum principle for impulsive hybrid systems

Publications

On the maximum principle for impulsive hybrid systems

Year : 2008

Publisher : Springer Verlag

Source Title : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Document Type :

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.