Differential Inclusion Approach for Mixed Constrained Problems Revisited

Abstract

Properties of control systems described by differentialinclusions are well established in the literature. Ofspecial relevance to optimal control problems are propertiesconcerning measurability, convexity, compactness of trajectoriesand Lipschitz continuity of the multifunctions mapping defining thedifferential inclusion of interest. In this work we concentrateon dynamic control systems coupled with mixed state-controlconstraints. We characterize a class of such systems thatcan be described by an appropriate differential inclusion soas exhibit good'' properties of the multifunction.We also illustrate the importance of our findings bytreating some applications scenarios.