Necessary conditions of optimality for vector-valued impulsive control problems with state constraints

• Type: Article in International Conference Proceedings Book
• Date: 2001

Authors

Fernando Lobo Pereira (Author) FEUP; Silva, GN (Author) Other; Vinter, RB (Author) Other

Conference proceedings International

Title: 2001 European Control Conference, ECC 2001

Pages: 924-930

6th European Control Conference, ECC 2001

4 September 2001 through 7 September 2001

Indexing

Scopus - 1 Citation

Other information

Authenticus ID: P-00G-X99

Abstract (EN): A vector-valued impulsive control problem is considered whose dynamics, defined by a differential inclusion, have to satisfy state constraints and are such that the vector fields associated with the singular term do not satisfy the so called Frobenius condition. A concept of robust solution based on a new reparametrization procedure is adopted in order to derive necessary conditions of optimality. These conditions are obtained by taking a limit of those for an appropriate sequence of auxiliary 'standard' optimal control problems approximating the original one. An example to illustrate the nature of the new optimality conditions is provided. © 2001 EUCA.

Language: English

Type (Professor's evaluation): Scientific