Value function and necessary conditions in optimal control problems for differential-difference inclusions
β Scribed by Leonid I. Minchenko; Alexey A. Volosevich
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 165 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
This paper deals with the optimal control problems for di erential-di erence inclusions subject to endpoint constraints. We follow a twofold goal. First, we develop a method for estimating the generalized gradients of value function in the problems above. Second, we use these estimates for obtaining necessary optimality conditions. The results obtained are expressed in terms of Clarke constructions for nonsmooth mappings and sets.
π SIMILAR VOLUMES
We study an optimal control problem given by differential-difference inclusions with end point constraints. An approach concerning second-order optimality conditions is proposed.
INFINITE DIMENSIONAL IWNCTIONAL DIFFERENTIAL INCLUSIONS AND NECESSARY OI'TIMIZATION CONDITIONS" X. XIAN<; ' uwi N.U. AHMEL)\* ' I klwww~ ~II hl~~~tto~~ati~-r. t inirlwu I Inlvcrsity. tiuiyang. <iuizllou. I'.k.China.
Dynamic models which take the form of a coupled set of differential and Ε½ . algebraic equations DAEs are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. A strong Maximum Principle is obtained under a conve
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