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Author : P. J. Hilton
Release : 1971-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 154/5 ( reviews)
Book Synopsis Symposium on Algebraic Topology by : P. J. Hilton
Download or read book Symposium on Algebraic Topology written by P. J. Hilton. This book was released on 1971-01-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Louis Lions
Release : 2011-11-12
Genre : Mathematics
Kind : eBook
Book Rating : 260/5 ( reviews)
Book Synopsis Optimal Control of Systems Governed by Partial Differential Equations by : Jacques Louis Lions
Download or read book Optimal Control of Systems Governed by Partial Differential Equations written by Jacques Louis Lions. This book was released on 2011-11-12. Available in PDF, EPUB and Kindle. Book excerpt: 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-+
Author : Jacques Louis Lions
Release : 1971-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 152/5 ( reviews)
Book Synopsis Optimal Control of Systems Governed by Partial Differential Equations by : Jacques Louis Lions
Download or read book Optimal Control of Systems Governed by Partial Differential Equations written by Jacques Louis Lions. This book was released on 1971-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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-+
Author : Jacques Louis Lions
Release : 1994
Genre : Control theory
Kind : eBook
Book Rating : 039/5 ( reviews)
Book Synopsis Optimal Control of Systems Governed by Partial Differential Equations by : Jacques Louis Lions
Download or read book Optimal Control of Systems Governed by Partial Differential Equations written by Jacques Louis Lions. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.K. Aziz
Release : 2014-05-10
Genre : Technology & Engineering
Kind : eBook
Book Rating : 306/5 ( reviews)
Book Synopsis Control Theory of Systems Governed by Partial Differential Equations by : A.K. Aziz
Download or read book Control Theory of Systems Governed by Partial Differential Equations written by A.K. Aziz. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.
