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a 9783030910297

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a Ashchepkov, Leonid T.

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0 
0 
a Optimal Control
h Elektronische Ressource
c by Leonid T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal

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a 2nd ed. 2021

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a Cham
b Springer International Publishing
c 2021, 2021

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a XVII, 251 p. 64 illus
b online resource

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0 

a  Preface  Part I: Introduction  Subject of optimal control  Mathematical model for controlled object  Part II: Control of Linear Systems  Reachability set  Controllability of linear systems  Minimum time problem  Synthesis of optimal system performance  The observability problem  Identification problem  Part III: Control of Nonlinear Systems  Types of optimal control problems  Small increments of a trajectory  The simplest problem of optimal control  General optimal control problem  Problems with intermediate states  Extremals field theory  Sufficient optimality conditions  Conclusion  Appendix  Examples of tasks and solution  Bibliography

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a Calculus of Variations and Optimization

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a Control theory

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a Systems Theory, Control

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a System theory

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a Mathematical optimization

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a Calculus of variations

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1 

a Dolgy, Dmitriy V.
e [author]

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1 

a Kim, Taekyun
e [author]

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a Agarwal, Ravi P.
e [author]

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0 
7 
a eng
2 ISO 6392

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b Springer
a Springer eBooks 2005

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a 10.1007/9783030910297

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u https://doi.org/10.1007/9783030910297?nosfx=y
x Verlag
3 Volltext

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a 515.64

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a 519.6

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a This textbook, now in its second edition, results from lectures, practical problems, and workshops on Optimal Control, given by the authors at Irkutsk State University, Far Eastern Federal University (both in Vladivostok, Russia), and Kwangwoon University (Seoul, South Korea). In this work, the authors cover the theory of linear and nonlinear systems, touching on the basic problem of establishing the necessary and sufficient conditions of optimal processes. Readers will find two new chapters, with results of potential interest to researchers with a focus on the theory of optimal control, as well as to those interested in applications in Engineering and related sciences. In addition, several improvements have been made through the text. This book is structured in three parts. Part I starts with a gentle introduction to the basic concepts in Optimal Control. In Part II, the theory of linear control systems is constructed onthe basis of the separation theorem and the concept of a reachability set. The authors prove the closure of reachability set in the class of piecewise continuous controls and touch on the problems of controllability, observability, identification, performance, and terminal control. Part III, in its turn, 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. Problem sets at the end of chapters and a list of additional tasks, provided in the appendix, are offered for students seeking to master the subject. The exercises have been chosen not only as a way to assimilate the theory but also as to induct the application of such knowledge in more advanced problems
