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Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften)

Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften) LY-71080 US/Data/Engineering-Transportation 3.5/5 From 531 Reviews Jacques Louis Lions *Download PDF | ePub | DOC | audiobook | ebooks

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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Partial Differential Equations, Optimal Control, Grundlehren, economic function, cost function, initial data, Reviews Jacques Louis Lions, deterministic problems Optimal control of systems governed by partial differential equations (Grundlehren der Mathematischen Wissenschaften