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Generalized Optimal Control of Linear Systems with Distributed Parameters

  • Sergei I. Lyashko

Part of the Applied Optimization book series (APOP, volume 69)

About this book

Introduction

The author of this book made an attempt to create the general theory of optimization of linear systems (both distributed and lumped) with a singular control. The book touches upon a wide range of issues such as solvability of boundary values problems for partial differential equations with generalized right-hand sides, the existence of optimal controls, the necessary conditions of optimality, the controllability of systems, numerical methods of approximation of generalized solutions of initial boundary value problems with generalized data, and numerical methods for approximation of optimal controls. In particular, the problems of optimization of linear systems with lumped controls (pulse, point, pointwise, mobile and so on) are investigated in detail.

Keywords

Boundary value problem Optimal control control optimization partial differential equation

Authors and affiliations

  • Sergei I. Lyashko
    • 1
  1. 1.Kiev National Shevchenko UniversityUkraine

Bibliographic information

  • DOI https://doi.org/10.1007/b130433
  • Copyright Information Kluwer Academic Publishers 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0625-8
  • Online ISBN 978-0-306-47571-9
  • Series Print ISSN 1384-6485
  • Buy this book on publisher's site
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