Trabalho apresentado em evento
A new sufficient condition for optimal impulsive control problems
Date
2012-12-01Registration in:
Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.
0191-2216
10.1109/CDC.2012.6425957
2-s2.0-84874282568
9527284964541341
Author
Universidade Estadual Paulista (Unesp)
Universidade Do Porto
Abstract
In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. © 2012 IEEE.
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