9783319497808: Optimal Control
Couverture rigide
ISBN 10 : 3319497804 ISBN 13 : 9783319497808
Editeur : Springer International Publishing AG, 2017

Synopsis

This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes.
In the first part of the course, the theory of linear control systems is constructed on the basis of the separation theorem and the concept of a reachability set. The authors prove the closure of a reachability set in the class of piecewise continuous controls, and the problems of controllability, observability, identification, performance and terminal control are also considered. The second part of the course is devoted to nonlinear control systems. Using the method of variations and the Lagrange multipliers rule of nonlinear problems, the authors prove the Pontryagin maximum principle for problems with mobile ends of trajectories. Further exercises and a large number of additional tasks are provided for use as practical training in order for the reader to consolidate the theoretical material.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Leonid Aschepkov is a professor in the Department of Mathematical Methods of Economy at Far Eastern Federal University.
Dmitriy V. Dolgy is a professor at the Institute of Natural Sciences at Far Eastern Federal University in Vladivolstok, Russia and at Hanrimwon, Kwangwoon University in Seoul, Republic of Korea.
Taekyun Kim is a professor in the Department of Mathematics at the College of Natural Science at Kwangwoon University. 

Ravi P. Agarwal is a professor and the chair of the Department of Mathematics at Texas A&M University. 

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2017
Langue
anglais
ISBN 10 
3319497804
ISBN 13 
9783319497808
Reliure
Relié
Numéro d'édition
1
Nombre de pages
209
Coordonnées du fabricant
non disponible
Personne responsable
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Edition présentée

ISBN 10 :  3319842404 ISBN 13 :  9783319842400
Editeur : Springer, 2018
Couverture souple