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Author(s): Aníbal Castilho Coimbra de Matos
Fernando Lobo Pereira
Title: Hamilton-Jacobi conditions for a class of impulsive control problems
Issue Date: 2002
Abstract: This work presents optimality conditions ofHamilton-Jacobi type for a classe of vector-valuedimpulsive control optimal problems. The dynamicsare defined by a measure driven differentialinclusion and the vector fields associated with thesingular term do not satisfy the so called Frobeniuscondition. The concept of verification function forthe class of problems addressed here is presented.Besides some regularity hypotheses, verificationsfunctions satisfy a set of Hamilton-Jacobi typeconditions, as well as a given boundary condition.It is shown that the existence of a verificationfunction is a necessary and sufficient condition forthe optimality of a feasible trajectory (in the senseof proper solution). It is also shown that the valuefunction of the family of problems parametrized bythe initial date is a verification function, with someextra properties, and results relating subgradientsof the value function and multipliers of necessaryconditions of the Maximum Principle are presented,too.
Subject: Engenharia de controlo, Engenharia electrotécnica, electrónica e informática
Control engineering, Electrical engineering, Electronic engineering, Information engineering
Scientific areas: Ciências da engenharia e tecnologias::Engenharia electrotécnica, electrónica e informática
Engineering and technology::Electrical engineering, Electronic engineering, Information engineering
Source: Proceedings of the 10th IEEE Mediterranean Conference on Control and Automation 2002, MED2002
Document Type: Artigo em Livro de Atas de Conferência Internacional
Rights: openAccess
Appears in Collections:FEUP - Artigo em Livro de Atas de Conferência Internacional

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