Control Perspectives On Numerical Algorithms And Matrix Problems
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Control Perspectives On Numerical Algorithms And Matrix Problems
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Author : Amit Bhaya
language : en
Publisher: SIAM
Release Date : 2006-01-01
Control Perspectives On Numerical Algorithms And Matrix Problems written by Amit Bhaya and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.
Control Perspectives On Numerical Algorithms And Matrix Problems
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Author : Amit Bhaya
language : en
Publisher: SIAM
Release Date : 2006-03-01
Control Perspectives On Numerical Algorithms And Matrix Problems written by Amit Bhaya and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-01 with Mathematics categories.
This book organizes the analysis and design of iterative numerical methods from a control perspective. A variety of applications are discussed, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems and integration and shooting methods for ordinary differential equations.
Perspectives In Mathematical System Theory Control And Signal Processing
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Author : Jan C. Willems
language : en
Publisher: Springer
Release Date : 2010-03-10
Perspectives In Mathematical System Theory Control And Signal Processing written by Jan C. Willems and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Science categories.
This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.
Numerical Methods For Optimal Control Problems
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Author : Maurizio Falcone
language : en
Publisher: Springer
Release Date : 2019-01-26
Numerical Methods For Optimal Control Problems written by Maurizio Falcone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-26 with Science categories.
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
Lagrange Multiplier Approach To Variational Problems And Applications
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Author : Kazufumi Ito
language : en
Publisher: SIAM
Release Date : 2008-11-06
Lagrange Multiplier Approach To Variational Problems And Applications written by Kazufumi Ito and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Mathematics categories.
Analyses Lagrange multiplier theory and demonstrates its impact on the development of numerical algorithms for variational problems in function spaces.
Design Of Distributed And Robust Optimization Algorithms A Systems Theoretic Approach
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Author : Simon Michalowsky
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2020-04-17
Design Of Distributed And Robust Optimization Algorithms A Systems Theoretic Approach written by Simon Michalowsky and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-17 with Technology & Engineering categories.
Optimization algorithms are the backbone of many modern technologies. In this thesis, we address the analysis and design of optimization algorithms from a systems theoretic viewpoint. By properly recasting the algorithm design as a controller synthesis problem, we derive methods that enable a systematic design of tailored optimization algorithms. We consider two specific classes of optimization algorithms: (i) distributed, and (ii) robust optimization algorithms. Concerning (i), we utilize ideas from geometric control in an innovative fashion to derive a novel methodology that enables the design of distributed optimization algorithms under minimal assumptions on the graph topology and the structure of the optimization problem. Concerning (ii), we employ robust control techniques to establish a framework for the analysis of existing algorithms as well as the design of novel robust optimization algorithms with specified guarantees.
Practical Methods For Optimal Control And Estimation Using Nonlinear Programming
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Author : John T. Betts
language : en
Publisher: SIAM
Release Date : 2010-01-01
Practical Methods For Optimal Control And Estimation Using Nonlinear Programming written by John T. Betts and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Mathematics categories.
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
Numerical Linear Algebra And Applications Second Edition
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Author : Biswa Nath Datta
language : en
Publisher: SIAM
Release Date : 2010-02-04
Numerical Linear Algebra And Applications Second Edition written by Biswa Nath Datta and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.
An undergraduate textbook that highlights motivating applications and contains summary sections, examples, exercises, online MATLAB codes and a MATLAB toolkit. All the major topics of computational linear algebra are covered, from basic concepts to advanced topics such as the quadratic eigenvalue problem in later chapters.
Linear Matrix Inequalities In System And Control Theory
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Author : Stephen Boyd
language : en
Publisher: SIAM
Release Date : 1994-01-01
Linear Matrix Inequalities In System And Control Theory written by Stephen Boyd and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.
Nonlinear Control Under Nonconstant Delays
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Author : Nikolaos Bekiaris-Liberis
language : en
Publisher: SIAM
Release Date : 2013-09-25
Nonlinear Control Under Nonconstant Delays written by Nikolaos Bekiaris-Liberis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-25 with Mathematics categories.
The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.