Stability And Time Optimal Control Of Hereditary Systems

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Stability And Time Optimal Control Of Hereditary Systems

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Author : Chukwu
language : en
Publisher: Academic Press
Release Date : 1992-05-22

Stability And Time Optimal Control Of Hereditary Systems written by Chukwu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-22 with Computers categories.

Stability and Time-Optimal Control of Hereditary Systems

Stability And Time Optimal Control Of Hereditary Systems With Application To The Economic Dynamics Of The Us 2nd Edition

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Author : Ethelbert Nwakuche Chukwu
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-12-28

Stability And Time Optimal Control Of Hereditary Systems With Application To The Economic Dynamics Of The Us 2nd Edition written by Ethelbert Nwakuche Chukwu and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-28 with Mathematics categories.

Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.

Optimal Control Of The Growth Of Wealth Of Nations

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Author : E.N. Chukwu
language : en
Publisher: CRC Press
Release Date : 2003-01-23

Optimal Control Of The Growth Of Wealth Of Nations written by E.N. Chukwu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-23 with Mathematics categories.

Students and researchers in applied mathematics and applied economics can use this introductory-level graduate text. It looks at the current problems of the development of the global economy by studying the dynamics of key economic variables, such as gross national product, interest rates, employment, value of capital stock, prices (inflation) and

The Omega Problem Of All Members Of The United Nations

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Author : Ethelbert Nwakuche Chukwu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-01

The Omega Problem Of All Members Of The United Nations written by Ethelbert Nwakuche Chukwu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-01 with Mathematics categories.

This monograph, a sequel to the author's highly successfull A Mathematical Treatment of Economic Cooperation and Competition Among Nations: With Nigeria, USA, UK, China and Middle East Examples (Academic Press, 2005), extends the study to all member states of the United Nations. It derives the equations of the key economic variables of gross domestic product, interest rate, employment value of capital stock prices (inflation) and cumulative balance of payment. The derivation is based on the differential market principle of supply and demand and on the rational expectation principle. The models are validated using economic time series of each country and MATLAB programs. The emerging dynamics is a differential game of pursuit which is converted to a hereditary control system for a single nation. Following the same method we derive the full hereditary economic model of all members of the United Nations joined together by external trade, investment capital flow consumption employment and governments' economic intervention all mirrored by interacting gross domestic products. The system is validated with IMF and World Bank data.Studies are made on how to arrest economic recession and depression and promote economic growth and prosperity. Diffusion of wealth is also touched upon. Policies regarding economic stimulus, how to dam the decay of capital flow, as well as conditions to promote full employment are discussed. Examination is made to test for the global systems controllability the possibility of steering any current bad economic state to a state of growth of its GDP, low interest rate, full employment, good value of capital stock, low inflation and a positive value of the cumulative balance of payments. The book prescribes verifiable broad policies for all nations together to promote prosperity, diffusion of wealth and longevity. The book comes with full programs, output and identified equations which can be downloaded from the publishers' website. Detailed information is available inside the book.The book is a most valuable source of reference for world leaders, central bank directors, graduates and academic researchers in applied mathematics and applied economics concerned with the current problems and growth of the global economy.

Differential Models And Neutral Systems For Controlling The Wealth Of Nations

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Author : Ethelbert N. Chukwu
language : en
Publisher: World Scientific
Release Date : 2001

Differential Models And Neutral Systems For Controlling The Wealth Of Nations written by Ethelbert N. Chukwu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Business & Economics categories.

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.

Delay Effects On Stability

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Author : Silviu-Iulian Niculescu
language : en
Publisher: Springer
Release Date : 2003-07-01

Delay Effects On Stability written by Silviu-Iulian Niculescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Technology & Engineering categories.

This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

A Mathematical Treatment Of Economic Cooperation And Competition Among Nations With Nigeria Usa Uk China And The Middle East Examples

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Author : Ethelbert N. Chukwu
language : en
Publisher: Elsevier
Release Date : 2005-09-30

A Mathematical Treatment Of Economic Cooperation And Competition Among Nations With Nigeria Usa Uk China And The Middle East Examples written by Ethelbert N. Chukwu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-30 with Mathematics categories.

The book presents a careful mathematical study of Economic Cooperation and Competition among Nations. It appropriates the principles of Supply and Demand and of Rational Expectations to build the dynamic model of the Gross Domestic Products of two groups of nations which are linked up together. The first group consists of Nigeria, the US, the UK and China. The second group is made up of Egypt, the US, Jordan and Israel. The link connecting the four nations of each group is mirrored in the net export function which is broadened to include trade, debts and the inflow or the outflow of wealth from the competing and cooperating nations. This realistic models of the four interacting GDP's, a hereditary differential game of pursuit are validated with historical data from International Financial Statistic Year Book. The Mathematical model is then studied for controllability: from a current initial GDPs a better state can be attained using government and private strategies which are carefully identified. We use regression and differential equation methods to test whether the four countries are competing or cooperating. The consequences of competition or cooperation are explored. Cooperation can be realized and the growth of wealth assured because the system is controllable and we can increase the growth of GDP and then increase the coefficient of cooperation. The outcome may be unbounded growth of wealth for all concerned – the triumph of cooperation. With analogous simple examples the book shows that sufficiently cooperating systems grow unbounded and competing ones are either bounded at best, or become extinct in finite time. If competition is small, i.e., limited, or regulated the GDP's need not be extinct even after a long time. This results are in contrast with popular opinion which advocate competition over cooperation. The detailed policy implication of the cooperation analysis at one time or the other were advocated by Pope John Paul II, President Clinton and President Bush. The mathematical message is clear: the strategy of cooperation is the best way in an Interconnected World: Cooperation triumphs over competition. The same type of analysis allows the book to argue through modeling that prosperity, internal peace and harmony can flourish in Nigeria among the old three regions and the newer six geopolitical regions. The same is true for the four powerful states in the Middle East.Thus the author's refreshing approach is the "scientific" treatment of cooperation and competition models of the gross-domestic product of two groups of nations – Nigeria, the USA, the UK, and China, and the USA, Egypt, Jordan and Israel. Attempts are made to provide "scientific" answers to broad national policies. It allows predictions of growth to be made with some degree of accuracy for up to 4 years. MATLAB and Maple programs in accompanied CD are provided. The author's individual nations economic models are cited. The dynamics are ordinary and hereditary games of pursuit also cited from the original earlier writings of the author are models of the economic state of each nation – a vector of six things – the gross domestic product (GDP) (y), interest rate R; employment (or unemployment) (L), value of capital stock (k), prices p(t), and therefore inflation and cumulative balance of payment (E). Each economic state is isolated except the impact of export function on aggregate demand.The main difference between this earlier contributions and this book is the link and its apparent policy implications and consequences.Key features:

Analysis And Control Of Nonlinear Infinite Dimensional Systems

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Author : Barbu
language : en
Publisher: Academic Press
Release Date : 1992-11-26

Analysis And Control Of Nonlinear Infinite Dimensional Systems written by Barbu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-26 with Computers categories.

Analysis and Control of Nonlinear Infinite Dimensional Systems

Ongoing Progress In Spacecraft Controls

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Author : Dave Ghosh
language : en
Publisher:
Release Date : 1992

Ongoing Progress In Spacecraft Controls written by Dave Ghosh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Space vehicles categories.

Variational Analysis And Generalized Differentiation I

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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-08

Variational Analysis And Generalized Differentiation I written by Boris S. Mordukhovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-08 with Mathematics categories.

Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.