rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Optimal Control
  name:
    name part: Ashchepkov, Leonid T.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Dolgy, Dmitriy V.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Kim, Taekyun.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Agarwal, Ravi P.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2021
    edition: 2nd ed. 2021.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XVII, 251 pages 64 illustrations)
  abstract: 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 on the 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.
  table of contents: - 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.
  note: by Leonid T. Ashchepkov, Dmitriy V. Dolgy, Taekyun Kim, Ravi P. Agarwal.
  subject:
    topic: Mathematical optimization
  subject:
    topic: Calculus of variations
  subject:
    topic: System theory
  subject:
    topic: Control theory
  subject:
    topic: Calculus of Variations and Optimization
  subject:
    topic: Systems Theory, Control
  classification: QA402.5-402.6
  classification: QA315-316
  classification: 519.6
  classification: 515.64
  related item:
    title info:
      title: Springer Nature eBook
  identifier: 9783030910297
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 220112
    record change date: 20240805190703.3
    record identifier: in00004556616