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Generalized Optimal Control of Linear Systems with Distributed Parameters

Generalized Optimal Control of Linear Systems with Distributed Parameters

Generalized Optimal Control of Linear Systems with Distributed Parameters Hardback - 2002

by S.I. Lyashko

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; 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 v
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Details

  • Title Generalized Optimal Control of Linear Systems with Distributed Parameters
  • Author S.I. Lyashko
  • Binding Hardback
  • Edition 1st
  • Condition New
  • Pages 456
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2002-08-31
  • Illustrated Yes
  • Features Bibliography, Illustrated
  • Bookseller's Inventory # ria9781402006258_inp
  • ISBN 9781402006258 / 140200625X
  • Weight 1.85 lbs (0.84 kg)
  • Dimensions 9.21 x 6.14 x 1.06 in (23.39 x 15.60 x 2.69 cm)
  • Category Mathematics
  • Library of Congress subjects Mathematical optimization, Control theory
  • Library of Congress Catalogue Number 2002069420
  • Dewey Decimal Code 515.353
  • Quantity available 304

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Reader reviews for Generalized Optimal Control of Linear Systems with Distributed Parameters

From the publisher

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.

First line

Consider a system which functioning is described by linear partial differential equation [11, 14-17,19, 30, 65-73] Lu = F + Ah, u D(L) (1) in a tube domain Q = (0,T) , where u(t,x) is an unknown function depended on a spatial variable and a time variable t (0,T), is a bounded domain in Rn with smooth boundary , D(L) is a set of the functions which are sufficiently smooth in and satisfy some conditions (bd) on the boundary of the domain Q.
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