Control Systems Functions and Programming Approaches by Dimitris N Chorafas

· Academic Press
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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

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Since 1961, Dr Dimitris N. Chorafas has advised financial institutions and industrial corporations in strategic planning, risk management, computers and communications systems, and internal controls. A graduate of the University of California, Los Angeles, the University of Paris, and the Technical University of Athens, Dr Chorafas has been a Fulbright scholar. Financial institutions which have sought his assistance include the Union Bank of Switzerland, Bank Vontobel, CEDEL, the Bank of Scotland, Credit Agricole, Österreichische Länderbank (Bank Austria), First Austrian Bank, Commerzbank, Dresdner Bank, Mid-Med Bank, Demir Bank, Banca Nazionale dell'Agricoltura, Istituto Bancario Italiano, Credito Commerciale and Banca Provinciale Lombarda. Among multinational corporations Dr Chorafas has worked as consultant to top management, are: General Electric-Bull, Univac, Honeywell, Digital Equipment Corp, Olivetti, Nestlé, Omega, Italcementi, Italmobiliare, AEG-Telefunken, Olympia, Osram, Antar, Pechiney, the American Management Association and host of other client firms in Europe and the United States. Dr Chorafas has served on the faculty of the Catholic University of America and as visiting professor at Washington State University, George Washington University, University of Vermont, University of Florida, and Georgia Institute of Technology. Also, the University of Alberta, Ecole d'Etudes Industrielles de l'Université de Genève, and Technical University of Karlsruhe. More than 6,000 banking, industrial and government executives have participated in his seminars in the United States, England, Germany, other European countries, Asia and Latin America.

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