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Gradient Algorithms For The Optimization Of Dynamic Systems
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Book Synopsis Optimization and Dynamical Systems by : Uwe Helmke
Download or read book Optimization and Dynamical Systems written by Uwe Helmke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.
Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Boyan Sirakov
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Boyan Sirakov and published by World Scientific. This book was released on 2019-02-27 with total page 5393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Book Synopsis Applied Dynamic Programming for Optimization of Dynamical Systems by : Rush D. Robinett III
Download or read book Applied Dynamic Programming for Optimization of Dynamical Systems written by Rush D. Robinett III and published by SIAM. This book was released on 2005-01-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The main goal of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess. The goal was partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to variety of practical engineering problems is emphasized.
Book Synopsis Control and Dynamic Systems V16 by : C.T. Leonides
Download or read book Control and Dynamic Systems V16 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 16 is concerned with applied dynamic systems control techniques. It describes various techniques for system modeling, which apply to several systems issues. This book presents a comprehensive treatment of powerful algorithmic techniques for solving dynamic-system optimization problems. It also describes approaches for systems model that apply to system issues such as time delays. The remaining chapters of this book explore the simulation of large closed-loop systems and optimization of low-order feedback controllers for discrete-time systems. Researchers who wish to broaden their understanding of dynamic systems control techniques will find this book invaluable.
Book Synopsis Control and Dynamic Systems V19 by : C.T. Leonides
Download or read book Control and Dynamic Systems V19 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 19: Nonlinear and Kalman Filtering Techniques, Part 1 of 3 covers the advances in the techniques and technology of nonlinear filters and Kalman filters. The book provides a comprehensive treatment of the theory and applications of nonlinear filters and Kalman filters. Chapters are devoted to the discussion of the exact and approximate state estimation techniques for nonlinear dynamic systems; computational efficiencies in the various approaches to filtering techniques; the implementation of filters by the use of microprocessors and distributed processor systems; and practical means for dealing with nonlinearities. Engineers, economists, seismologists, meteorologists, and communications experts will find this book a good reference material.
Book Synopsis Control and Dynamic Systems V21 by : C.T. Leonides
Download or read book Control and Dynamic Systems V21 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications, Volume 21: Nonlinear and Kalman Filtering Techniques, Part 3 of 3 presents the developments in the techniques and technology of the application of nonlinear and Kalman filters. This book provides substantive examples of the methods and technology of the application of Kalman and nonlinear filters. Organized into six chapters, this volume begins with an overview of the unique and relevant treatment of postflight data analysis. This text then examines the control and filter problems for the interception of torpedo-ship situations. Other chapters consider the MLS algorithm, which has been shown to be a superior algorithm in terms of stability and tracking performance when compared to existing least squares batch algorithm that use both a transition matrix and a measurement. The final chapter deals with the significant trends in integrated communication and navigation systems. This book is a valuable resource for mechanical and aerospace engineers.
Book Synopsis Control and Dynamic Systems V18 by : C.T. Leonides
Download or read book Control and Dynamic Systems V18 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems, Volume 18: Advances in Theory and Applications provides the techniques for the analysis and synthesis of large-scale complex systems. This book begins with a comprehensive treatment of component cost analysis of large-scale systems, including cost balancing methods for system design, failure mode analysis, model reduction techniques, and design of lower-order controllers that meet on-line controller software limitations. The problem of reduced-order modeling and filtering, linear multivariable systems synthesis techniques, and digital control of dynamical systems are deliberated in the next chapters. This publication concludes with the ship propulsion dynamics simulation and analysis and synthesis of complex distributed parameter systems. This volume is beneficial to students and researchers conducting work on advances in large-scale complex systems.
Book Synopsis Control and Dynamic Systems V17 by : C.T. Leonides
Download or read book Control and Dynamic Systems V17 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 17 deals with the theory of differential games and its applications. It provides a unique presentation of the differential game theory as well as the use of algorithms for solving this complex class problems. This book discusses fundamental concepts and system problem formulation for differential game systems. It also considers pursuit-evasion games and on-line real time computer control techniques. This book will serve as a useful reference for those interested in effective computations for differential games.
Book Synopsis Control and Dynamic Systems V34: Advances in Control Mechanics Part 1 of 2 by : C.T. Leonides
Download or read book Control and Dynamic Systems V34: Advances in Control Mechanics Part 1 of 2 written by C.T. Leonides and published by Academic Press. This book was released on 2012-12-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications, Volume 34: Advances in Control Mechanics, Part 1 of 2 presents the fundamental aspects of mechanical systems control theory. This book deals with microburst, a severe meteorological condition significant to aircraft control. Organized into seven chapters, this volume begins with an overview of the problem of stable control of an aircraft subjected to windshear caused by microburst. This text then examines the results concerning control of an aircraft under windshear conditions. Other chapters consider the robust control problem using the variable structure control method. This book discusses as well the problem of finding zeros of a nonlinear vector function by using methods of dynamical systems analysis. The final chapter deals with the role of singularities and their effect on the global trait of dynamical systems. This book is a valuable resource for mechanical and materials engineers. Research workers and students will also find this book useful.
Download or read book Dynamical Search written by Luc Pronzato and published by CRC Press. This book was released on 1999-08-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain algorithms that are known to converge can be renormalized or "blown up" at each iteration so that their local behavior can be seen. This creates dynamical systems that we can study with modern tools, such as ergodic theory, chaos, special attractors, and Lyapounov exponents. Furthermore, we can translate the rates of convergence into less studied exponents known as Renyi entropies. This all feeds back to suggest new algorithms with faster rates of convergence. For example, in line-search, we can improve upon the Golden Section algorithm with new classes of algorithms that have their own special-and sometimes chaotic-dynamical systems. The ellipsoidal algorithms of linear and convex programming have fast, "deep cut" versions whose dynamical systems contain cyclic attractors. And ordinary steepest descent has, buried within, a beautiful fractal that controls the gateway to a special two-point attractor. Faster "relaxed" versions exhibit classical period doubling. Dynamical Search presents a stimulating introduction to a brand new field - the union of dynamical systems and optimization. It will prove fascinating and open doors to new areas of investigation for researchers in both fields, plus those in statistics and computer science.
Book Synopsis Algorithms for Optimization by : Mykel J. Kochenderfer
Download or read book Algorithms for Optimization written by Mykel J. Kochenderfer and published by MIT Press. This book was released on 2019-03-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to optimization with a focus on practical algorithms for the design of engineering systems. This book offers a comprehensive introduction to optimization with a focus on practical algorithms. The book approaches optimization from an engineering perspective, where the objective is to design a system that optimizes a set of metrics subject to constraints. Readers will learn about computational approaches for a range of challenges, including searching high-dimensional spaces, handling problems where there are multiple competing objectives, and accommodating uncertainty in the metrics. Figures, examples, and exercises convey the intuition behind the mathematical approaches. The text provides concrete implementations in the Julia programming language. Topics covered include derivatives and their generalization to multiple dimensions; local descent and first- and second-order methods that inform local descent; stochastic methods, which introduce randomness into the optimization process; linear constrained optimization, when both the objective function and the constraints are linear; surrogate models, probabilistic surrogate models, and using probabilistic surrogate models to guide optimization; optimization under uncertainty; uncertainty propagation; expression optimization; and multidisciplinary design optimization. Appendixes offer an introduction to the Julia language, test functions for evaluating algorithm performance, and mathematical concepts used in the derivation and analysis of the optimization methods discussed in the text. The book can be used by advanced undergraduates and graduate students in mathematics, statistics, computer science, any engineering field, (including electrical engineering and aerospace engineering), and operations research, and as a reference for professionals.
Book Synopsis Control and Dynamic Systems V20 by : C.T. Leonides
Download or read book Control and Dynamic Systems V20 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems, Volume 20 is a collection of papers that discusses the techniques and technology of the application of nonlinear filters and Kalman filters. This collection deals with issues on computation techniques along with many examples of applications of these filters. One paper reviews the bias-separated estimation theory with some alternate derivations by investigators which can provide further extensions. Another paper shows that methods and techniques used in estimating stochastic parameters that have been derived from conventional stochastic operations are effective in various applications. Other papers describe the many advanced applications of Kalman filters and nonlinear estimators in aerospace systems such as the application of adaptive Kalman filtering for aided strapdown navigation systems. As an example, a software package can test the technique of model switching; as well as other applications of the methods of adaptive Kalman filtering for aided strapdown navigation systems. Total system development of ballistic missiles concerns system-level understanding that uses modern analytic methods including applications of filtering and smoothing theory. This book can prove useful for people working in industrial process control or in econometrics, as well as nuclear physicists.
Book Synopsis Control and Dynamic Systems V22 by : C.T. Leonides
Download or read book Control and Dynamic Systems V22 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems, Volume 22: Decentralized/Distributed Control and Dynamic Systems, Part 1 deals with advances in techniques for the analysis and synthesis of decentralized or distributed control and dynamic systems. This book begins with a unique presentation of important results and techniques that decentralized control systems often face due to the fact that the individual systems in a collection or set of decentralized control systems are somewhat incomplete. The controllability, observability, implications, and powerful techniques for stabilization and control of decentralized systems are also discussed. The next chapters describe the covariance equivalent realizations with application to model reductions of large-scale systems and decentralized estimation and control of one-way connected subsystems. This publication concludes with a presentation of the multivariable feedback and decentralized control that reviews fundamental results extending multivariable theory from conventional control systems to the highly challenging problems of decentralized control. This volume is beneficial to students and researchers conducting work on decentralized or distributed control and dynamic systems.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Progress in Optimization by : Andrew Eberhard
Download or read book Progress in Optimization written by Andrew Eberhard and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the monograph Progress in Optimization I: Contributions from Aus tralasia grew from the idea of publishing a proceedings of the Fourth Optimiza tion Day, held in July 1997 at the Royal Melbourne Institute of Technology, the focus soon changed to a refereed volume in optimization. The intention is to publish a similar book annually, following each Optimization Day. The idea of having an annual Optimization Day was conceived by Barney Glover; the first of these Optimization Days was held in 1994 at the University of Ballarat. Barney hoped that such a yearly event would bring together the many, but widely dispersed, researchers in Australia who were publishing in optimization and related areas such as control. The first Optimization Day event was followed by similar conferences at The University of New South Wales (1995), The University of Melbourne (1996), the Royal Melbourne Institute of Technology (1997), and The University of Western Australia (1998). The 1999 conference will return to Ballarat University, being organized by Barney's long-time collaborator Alex Rubinov. In recent years the Optimization Day has been held in conjunction with other locally-held national or international conferences. This has widened the scope of the monograph with contributions not only coming from researchers in Australia and neighboring regions but also from their collaborators in Europe and North America.
Book Synopsis Applied Optimal Control by : A. E. Bryson
Download or read book Applied Optimal Control written by A. E. Bryson and published by CRC Press. This book was released on 1975-01-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling text focuses on the analysis and design of complicated dynamics systems. CHOICE called it “a high-level, concise book that could well be used as a reference by engineers, applied mathematicians, and undergraduates. The format is good, the presentation clear, the diagrams instructive, the examples and problems helpful...References and a multiple-choice examination are included.”
Book Synopsis Dynamical Systems and Numerical Analysis by : Andrew Stuart
Download or read book Dynamical Systems and Numerical Analysis written by Andrew Stuart and published by Cambridge University Press. This book was released on 1998-11-28 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.
