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Generalized Optimal Control of Linear Systems with Distributed Parameters (Applied Optimization, 69)

Generalized Optimal Control of Linear Systems with Distributed Parameters (Applied Optimization, 69)

Generalized Optimal Control of Linear Systems with Distributed Parameters
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Generalized Optimal Control of Linear Systems with Distributed Parameters (Applied Optimization, 69) Hardback - 2002

by Lyashko, S.I

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Springer, 2002-08-31. 2002. hardcover. New. 6.14x1.06x9.21. Buy with confidence. Excellent Customer Service & Return policy.
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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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