{"product_id":"optimal-control-of-systems-governed-by-partial-differential-equations-von-jacques-louis-lions","title":"Optimal Control of Systems Governed by Partial Differential Equations","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-+\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783642650260\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783642650260","offer_id":39444885536861,"sku":"9783642650260","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/956f09de-ac13-44ee-9251-b74fdaf82cde.jpg?v=1772175521","url":"https:\/\/shop.autorenwelt.de\/en\/products\/optimal-control-of-systems-governed-by-partial-differential-equations-von-jacques-louis-lions","provider":"Autorenwelt Shop","version":"1.0","type":"link"}