Actas de congresos
Necessary conditions of optimality for vector-valued impulsive control problems with state constraints
Fecha
2001-01-01Registro en:
2001 European Control Conference, ECC 2001, p. 924-930.
10.23919/ecc.2001.7076030
2-s2.0-84947439713
Autor
Universidade Do Porto
Universidade Estadual Paulista (UNESP)
Technology and Medicine
Institución
Resumen
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.