Differential Models And Neutral Systems For Controlling The Wealth Of Nations

Differential Models And Neutral Systems For Controlling The Wealth Of Nations
Author: Ethelbert Nwakuche Chukwu
Publisher: World Scientific
Total Pages: 537
Release: 2000-12-29
Genre: Mathematics
ISBN: 9814492639

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages and productivity. The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth.The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations. The required theory of hereditary systems can be obtained from the book itself.

Absolute Stability of Nonlinear Control Systems

Absolute Stability of Nonlinear Control Systems
Author: Xiaoxin Liao
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2008-07-16
Genre: Mathematics
ISBN: 140208482X

Following the recent developments in the field of absolute stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This book is aimed to be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be useful as a reference for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is a prerequisite.

Control of Distributed Parameter Systems 1989

Control of Distributed Parameter Systems 1989
Author: M. Amouroux
Publisher: Elsevier
Total Pages: 533
Release: 2014-06-28
Genre: Technology & Engineering
ISBN: 1483298817

This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.

nonlinear analysis and applications

nonlinear analysis and applications
Author: Lakshmikantham
Publisher: CRC Press
Total Pages: 678
Release: 2020-11-26
Genre: Mathematics
ISBN: 1000147037

This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.