Author : A. Halanay
Publisher : Springer Science & Business Media
ISBN 13 : 9401589151
Total Pages : 373 pages
Book Rating : 4.4/5 (15 download)
Book Synopsis Differential Equations, Discrete Systems and Control by : A. Halanay
Download or read book Differential Equations, Discrete Systems and Control written by A. Halanay and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the most important mathematical tools for studying economic models. It contains basic topics concerning linear differential equations and linear discrete-time systems; a sketch of the general theory of nonlinear systems and the stability of equilibria; an introduction to numerical methods for differential equations, and some applications to the solution of nonlinear equations and static optimization. The second part of the book discusses stabilization problems, including optimal stabilization, linear-quadratic optimization and other problems of dynamic optimization, including a proof of the Maximum Principle for general optimal control problems. All these mathematical subjects are illustrated with detailed discussions of economic models. Audience: This text is recommended as auxiliary material for undergraduate and graduate level MBA students, while at the same time it can also be used as a reference by specialists.