Differential Inclusion Approach for Mixed Constrained Problems Revisited

Mdr de Pinho (1) , Igor Kornienko (2)

1 FEUP - Faculdade de Engenharia da Universidade do Porto
2 DEEC - Department of Electrical and Computer Engineering [Porto]

Properties of control systems described by differential inclusions are well established in the literature. Of special relevance to optimal control problems are properties concerning measurability, convexity, compactness of trajectories and Lipschitz continuity of the multifunctions mapping defining the differential inclusion of interest. In this work we concentrate on dynamic control systems coupled with mixed state-control constraints. We characterize a class of such systems that can be described by an appropriate differential inclusion so as exhibit " good " properties of the multifunction. We also illustrate the importance of our findings by treating some applications scenarios.

Domaines: Optimisation et contrôle [math.OC]

Mdr de Pinho, Igor Kornienko. Differential Inclusion Approach for Mixed Constrained Problems Revisited. Set-Valued and Variational Analysis, 2015, 17 p. ⟨10.1007/s11228-014-0315-2⟩. ⟨hal-01122345⟩