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Author Torres, Delfim F. M.
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Unified Way ♦ Carath Odory-equivalence ♦ Following Question ♦ Tonelli Full-regularity ♦ Caratheodory Method ♦ Optimal Control Problem ♦ Unrestricted Control ♦ Pontryagin Extremals ♦ Optimality Condition ♦ Equivalent Problem ♦ Existence Theory ♦ Noether Theorem ♦ Optimal Control ♦ Regularity Condition
Description We study, in a unified way, the following questions related to the properties of Pontryagin extremals for optimal control problems with unrestricted controls: i) How the transformations, which define the equivalence of two problems, transform the extremals? ii) How to obtain quantities which are conserved along any extremal? iii) How to assure that the set of extremals include the minimizers predicted by the existence theory? These questions are connected to: i) the Caratheodory method which establishes a correspondence between the minimizing curves of equivalent problems; ii) the interplay between the concept of invariance and the theory of optimality conditions in optimal control, which are the concern of the theorems of Noether; iii) regularity conditions for the minimizers and the work pioneered by Tonelli.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2002-01-01
Journal Journal of Mathematical Sciences (Series of Contemporary Mathematics and Its Applications, Kluwer Academic/Plenum Publishers