Hamilton-Jacobi conditions for a class of impulsive control problems

• Type: Article in International Conference Proceedings Book
• Date: 2002

Authors

Aníbal Castilho Coimbra de Matos (Author) FEUP; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: Proceedings of the 10th IEEE Mediterranean Conference on Control and Automation 2002, MED2002

Pages: 1-7

MED 2002, 10th IEEE Mediterranean Conference on Control and Automation 2002

Lisboa, Portugal, 9 a 12 de Julho de 2002

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

CORDIS: Technological sciences > Engineering > Control engineering

Other information

Abstract (EN): This work presents optimality conditions of Hamilton-Jacobi type for a classe of vector-valued impulsive control optimal problems. The dynamics are defined by a measure driven differential inclusion and the vector fields associated with the singular term do not satisfy the so called Frobenius condition. The concept of verification function for the class of problems addressed here is presented. Besides some regularity hypotheses, verifications functions satisfy a set of Hamilton-Jacobi type conditions, as well as a given boundary condition. It is shown that the existence of a verification function is a necessary and sufficient condition for the optimality of a feasible trajectory (in the sense of proper solution). It is also shown that the value function of the family of problems parametrized by the initial date is a verification function, with some extra properties, and results relating subgradients of the value function and multipliers of necessary conditions of the Maximum Principle are presented, too.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7