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Necessary conditions of optimality for vector-valued impulsive control problems

✍ Scribed by Fernando Lobo Pereira; Geraldo Nunes Silva

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
142 KB
Volume
40
Category
Article
ISSN
0167-6911

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✦ Synopsis

A vector-valued impulsive control problem is considered whose dynamics, deΓΏned by a di erential inclusion, are such that the vector ΓΏelds 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.

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