A new sufficient condition for optimal impulsive control problems
Proceedings of the IEEE Conference on Decision and Control, p. 6418-6423.
De Oliveira, Valeriano A.
Silva, Geraldo N.
Pereiraz, Fernando Lobo
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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Rafikov, Marat; Balthazar, José Manoel
De Pinho, Maria Do Rosário; Silva, Geraldo Nunes
Universidade Regional do Noroeste do Estado do Rio Grande do Sul; Universidade Estadual Paulista (UNESP) (2005-12-01)In this work, the linear and nonlinear feedback control techniques for chaotic systems were been considered. The optimal nonlinear control design problem has been resolved by using Dynamic Programming that reduced this ...