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Stability And Time Optimal Control Of Hereditary Systems
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Book Synopsis Stability and Time-Optimal Control of Hereditary Systems by : E N Chukwu
Download or read book Stability and Time-Optimal Control of Hereditary Systems written by E N Chukwu and published by World Scientific Publishing Company. This book was released on 2001-12-28 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Stability and Time-optimal Control of Hereditary Systems by : Ethelbert N. Chukwu
Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert N. Chukwu and published by . This book was released on 1992-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Time-optimal Control of Hereditary Systems by : Ethelbert Nwakuche Chukwu
Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert Nwakuche Chukwu and published by . This book was released on 2001 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability and Time-optimal Control of Hereditary Systems by : Ethelbert N. Chukwu
Download or read book Stability and Time-optimal Control of Hereditary Systems written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimal Control of the Growth of Wealth of Nations by : E.N. Chukwu
Download or read book Optimal Control of the Growth of Wealth of Nations written by E.N. Chukwu and published by CRC Press. This book was released on 2003-01-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Differential Models and Neutral Systems for Controlling the Wealth of Nations by : Ethelbert N. Chukwu
Download or read book Differential Models and Neutral Systems for Controlling the Wealth of Nations written by Ethelbert N. Chukwu and published by World Scientific. This book was released on 2001 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Ethelbert Nwakuche Chukwu Publisher :Springer Science & Business Media ISBN 13 :9491216260 Total Pages :193 pages Book Rating :4.4/5 (912 download)
Book Synopsis THE OMEGA PROBLEM OF ALL MEMBERS OF THE UNITED NATIONS by : Ethelbert Nwakuche Chukwu
Download or read book THE OMEGA PROBLEM OF ALL MEMBERS OF THE UNITED NATIONS written by Ethelbert Nwakuche Chukwu and published by Springer Science & Business Media. This book was released on 2010-09-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Delay Effects on Stability by : Silviu-Iulian Niculescu
Download or read book Delay Effects on Stability written by Silviu-Iulian Niculescu and published by Springer. This book was released on 2003-07-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Ongoing Progress in Spacecraft Controls by : Dave Ghosh
Download or read book Ongoing Progress in Spacecraft Controls written by Dave Ghosh and published by . This book was released on 1992 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Economic Dynamics of All Members of the United Nations by : Ethelbert Nwakuche Chukwu
Download or read book Economic Dynamics of All Members of the United Nations written by Ethelbert Nwakuche Chukwu and published by Springer. This book was released on 2014-07-11 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an enduring response to modern economic problems and the consequent crises, dealing with the economic modelling of nations and the forecasting of economic growth. The main arguments embodied constitute the creation of jobs and the restoration of economic growth, using the implicit acceptance of analysis on differential models and neutral systems for controlling the wealth of nations.
Book Synopsis A Mathematical Treatment of Economic Cooperation and Competition Among Nations, with Nigeria, USA, UK, China, and the Middle East Examples by : Ethelbert N. Chukwu
Download or read book 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 published by Elsevier. This book was released on 2005-09-30 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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:
Book Synopsis Analysis and Control of Nonlinear Infinite Dimensional Systems by : Barbu
Download or read book Analysis and Control of Nonlinear Infinite Dimensional Systems written by Barbu and published by Academic Press. This book was released on 1992-11-26 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Control of Nonlinear Infinite Dimensional Systems
Book Synopsis Scientific Computing with Automatic Result Verification by : Adams
Download or read book Scientific Computing with Automatic Result Verification written by Adams and published by Academic Press. This book was released on 1992-12-03 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Computing with Automatic Result Verification
Book Synopsis The Vector-Valued Maximin by : Slukvadze
Download or read book The Vector-Valued Maximin written by Slukvadze and published by Academic Press. This book was released on 1993-12-09 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Vector-Valued Maximin
Book Synopsis History of Mathematics in Africa: 2000-2011 by : Paulus Gerdes
Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractional Differential Equations by : Igor Podlubny
Download or read book Fractional Differential Equations written by Igor Podlubny and published by Elsevier. This book was released on 1998-10-27 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives
Book Synopsis Delay Differential Equations by : Yang Kuang
Download or read book Delay Differential Equations written by Yang Kuang and published by Academic Press. This book was released on 1993-03-05 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.
