Download or read book Computational Methods for Optimizing Distributed Systems written by Charles Teo and published by Academic Press. This book was released on 1984-08-21 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory of distributed parameter systems has been a very active field in recent years; however, very few books have been devoted to the studiy of computational algorithms for solving optimal control problems. For this rason the authors decided to write this book. Because the area is so broad, they confined themselves to optimal control problems involving first and second boundary-value problems of a linear second-order parabolic partial differential equation. However the techniques used are by no means restricted to these problems. They can be and in some cases already have been applied to problems involving other types of distributed parameter system. The authors aim is to devise computational algorithms for solving optimal control problems with particular emphasis on the mathematical theory underlying the algorithms. These algorithms are obtained by using a first-order strong variational method or gradient-type methods.
Download or read book Optimal Measurement Methods for Distributed Parameter System Identification written by Dariusz Ucinski and published by CRC Press. This book was released on 2004-08-27 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: For dynamic distributed systems modeled by partial differential equations, existing methods of sensor location in parameter estimation experiments are either limited to one-dimensional spatial domains or require large investments in software systems. With the expense of scanning and moving sensors, optimal placement presents a critical problem.
Download or read book Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante written by Lakshmikantham and published by Elsevier. This book was released on 1988-05-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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; and methods 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 particular branches, 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
Download or read book Decentralized Control of Complex Systems written by S?iljak and published by Academic Press. This book was released on 1991-01-28 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decentralized Control of Complex Systems
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
Download or read book Inverse Problem Theory and Methods for Model Parameter Estimation written by Albert Tarantola and published by SIAM. This book was released on 2005-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes a general approach to the basic difficulties appearing in the resolution of inverse problems.
Download or read book Linear Dynamical Systems written by Casti and published by Academic Press. This book was released on 1987-03-19 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Dynamical Systems
Download or read book Differential Equations and Mathematical Physics Proceedings of the International Conference held at the University of Alabama at Birmingham March 15 21 1990 written by Bennewitz and published by Academic Press. This book was released on 1991-08-16 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations and Mathematical Physics: Proceedings of the International Conference held at the University of Alabama at Birmingham, March 15-21, 1990
Download or read book Variational Methods in Nonconservative Phenomena written by B. D. Vujanovic and published by Academic Press. This book was released on 1989-05-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include
Download or read book Lyapunov Matrix Equation in System Stability and Control written by Zoran Gajic and published by Elsevier. This book was released on 1995-08-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lyapunov and Riccati equations are two of the fundamental equations of control and system theory, having special relevance for system identification, optimization, boundary value problems, power systems, signal processing, and communications. The Lyapunov Matrix Equation in System Stability and Control covers mathematical developments and applications while providing quick and easy references for solutions to engineering and mathematical problems. Examples of real-world systems are given throughout the text in order to demonstrate the effectiveness of the presented methods and algorithms. The book will appeal to practicing engineers, theoreticians, applied mathematicians, and graduate students who seek a comprehensive view of the main results of the Lyapunov matrix equation. Presents techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems Offers summaries and references at the end of each chapter Contains examples of the use of the equation to solve real-world problems Provides quick and easy references for the solutions to engineering and mathematical problems using the Lyapunov equation
Download or read book Nonlinear Boundary Value Problems in Science and Engineering written by C. Rogers and published by Academic Press. This book was released on 1989-11-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overall, our object has been to provide an applications-oriented text that is reasonably self-contained. It has been used as the basis for a graduate-level course both at the University of Waterloo and at the Centro Studie Applicazioni in Tecnologie Avante, Bari, Italy. The text is aimed, in the main, at applied mathematicians with a strong interest in physical applications or at engineers working in theoretical mechanics.
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
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
Download or read book Numerical Mathematics Singapore 1988 written by Agarwal and published by Birkhäuser. This book was released on 2013-11-21 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convex Functions Partial Orderings and Statistical Applications written by Josip E. Peajcariaac and published by Academic Press. This book was released on 1992-06-03 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Presents classical and newly published results on convex functions and related inequalities Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions Will generate further research and applications
Download or read book Optimal Control of Drug Administration in Cancer Chemotherapy written by Rory Martin and published by World Scientific. This book was released on 1994 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a study of optimal control applied to cancer chemotherapy, the treatment of cancer using drugs that kill cancer cells. The aim is to determine whether current methods for the administration of chemotherapy are optimal, and if alternative regimens should be considered.The research utilizes the mathematical theory of optimal control, an active research area for many mathematicians, scientists, and engineers. It is of multidisciplinary nature, having been applied to areas ranging from engineering to biomedicine. The aim in optimal control is to achieve a given objective at minimum cost. A set of differential equations is used to describe the evolution in time of the process being modelled, and constraints limit the policies that can be used to attain the objective.In this monograph, mathematical models are used to construct optimal drug schedules. These are treatment guidelines specifying which drug to deliver, when, and at what dose. Many current drug schedules have been derived empirically, based upon ?rules of thumb?.The monograph has been structured so that most of the high-level mathematics is introduced in a special appendix. In this way, a scientist can skip the more subtle aspects of the theory and still understand the biomedical applications that follow. However, the text is self-contained so that a deeper understanding of the mathematics of optimal control can be gained from the mathematical appendix.The mathematical models in this book and the associated computer simulations show that low intensity chemotherapy is a better choice of treatment than high intensity chemotherapy, under certain conditions.
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.
