Time-Delay Systems | With Applications to Economic Dynamics and Control

André A. Keller

ISBN 10: 3843388482 / ISBN 13: 9783843388481

Published by LAP LAMBERT Academic Publishing, 2011

About this Item

Time-Delay Systems | With Applications to Economic Dynamics and Control | André A. Keller | Taschenbuch | 436 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783843388481 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 107122792

Bibliographic Details

• Title: Time-Delay Systems | With Applications to Economic Dynamics and Control
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2011
• Language: English
• ISBN 10: 3843388482
• ISBN 13: 9783843388481
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 27D millimeters 220 millimeters width by 150 millimeters height by 27 millimeters depth
• Weight: 667 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Time-delay systems consist of delay differential equations that combine the continuous aspect of differential equations and the sample features of difference equations. These equations have advanced and retarded, fixed or flexible delays. Their origin is imputed to Condorcet in 1767, in his astronomical three-body problem. This approach has been extensively studied in various scientific studies in Physics, Engineering, Chemistry, Biology. Early, the interest for such a modeling approach also appears in Economics. In the 1930's, Kalecki presented a delay business cycle model and Tinbergen proposed a delay system for the shipbuilding sector. This book introduces to the main concepts and methods for the time-delay systems with application to economics. A variety of advanced resolution methods is presented together with numerical examples: forward integration by steps, Lambert W function, mathematical transforms and circuit analysis. Economic models with delay from the standard economic theory are studied: decision model, business cycle and growth models. The computations have been carried out by using the softwares MATHEMATICA 7 and MATLAB 2008, and their specialized packages.

About the Author

André A. Keller is a former Professor of mathematical economics at the Université de Paris. He taught applied optimization and econometrics. His experience centers are on econometric modeling, differential games, circuit analysis and fuzzy mathematics. He is now an associate researcher of a research unit (UMR8019) at the Université de Lille 1.