{ "item_title" : "Optimal Control of Systems Governed by Partial Differential Equations", "item_author" : [" Jacques Louis Lions", "Sanjog K. Mitter "], "item_description" : "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-+", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/64/265/026/3642650260_b.jpg", "price_data" : { "retail_price" : "129.99", "online_price" : "129.99", "our_price" : "129.99", "club_price" : "129.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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