{"product_id":"optimal-control-of-systems-governed-by-partial-differential-equations-9783642650260","title":"Optimal Control of Systems Governed by Partial Differential Equations","description":"\u003cp\u003e • Author(s): Jacques Louis Lions\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e1. 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-+\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283686121623,"sku":"9783642650260","price":8814.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783642650260.webp?v=1769305612","url":"https:\/\/atlanticbooks.com\/products\/optimal-control-of-systems-governed-by-partial-differential-equations-9783642650260","provider":"Atlantic Books","version":"1.0","type":"link"}