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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Optimal Control of Systems Governed by Partial Differential Equations

Optimal Control of Systems Governed by Partial Differential Equations

Mitter, Sanjog K.
Lions, Jacques Louis

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 170

Technology & EngineeringGeneral Mathematics

ISBN10: 3642650260
ISBN13: 9783642650260
Publisher: Springer
Published: Nov 12 2011
Pages: 400
Weight: 1.28
Height: 0.85 Width: 6.14 Depth: 9.21
Language: English
1. The development of a theory of optimal control (deterministic) requires the following initial data: (i) a control u belonging to some set ilIi ad (the set of 'admissible controls') which is at our disposition, (ii) for a given control u, the state y(u) of the system which is to be controlled is given by the solution of an equation (*) Ay(u)=given function ofu where A is an operator (assumed known) which specifies the system to be controlled (A is the 'model' of the system), (iii) the observation z(u) which is a function of y(u) (assumed to be known exactly; we consider only deterministic problems in this book), (iv) the cost function J(u) (economic function) which is defined in terms of a numerical function z-+

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