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Optimal Control of Systems Governed by Partial Differential Equations

Optimal Control of Systems Governed by Partial Differential Equations

Jacques Louis Lions / Sanjog K. Mitter

145,62 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2011
Materia
Matemáticas
ISBN:
9783642650260
145,62 €
IVA incluido
Disponible

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Sobre IBD

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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