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The Theory Of Time Optimal Processes In Linear Systems
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Book Synopsis Mathematical Theory of Optimal Processes by : L.S. Pontryagin
Download or read book Mathematical Theory of Optimal Processes written by L.S. Pontryagin and published by CRC Press. This book was released on 1987-03-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature.
Book Synopsis Discrete-Time Markov Jump Linear Systems by : O.L.V. Costa
Download or read book Discrete-Time Markov Jump Linear Systems written by O.L.V. Costa and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time
Book Synopsis Non Linear Mathematics Vol. I by : Thomas L., Saaty
Download or read book Non Linear Mathematics Vol. I written by Thomas L., Saaty and published by RWS Publications. This book was released on 2014-12-22 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."
Book Synopsis Time-Lag Control Systems by : Og?uzto?reli
Download or read book Time-Lag Control Systems written by Og?uzto?reli and published by Academic Press. This book was released on 1966-01-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-Lag Control Systems
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Translations written by and published by . This book was released on 1961 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Optimum System Synthesis Conference, 11-13 September 1962 by :
Download or read book Proceedings of the Optimum System Synthesis Conference, 11-13 September 1962 written by and published by . This book was released on 1963 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings contain a collection of 16 papers presented at the Optimum System Synthesis Conference held at the Aeronautical Systems Division 11 - 13 September 1962. The meeting was directed toward defining the present position of optimum synthesis and determining guides for future research in both applications and theory. Most papers are concerned with various aspects of recent applications and theoretical developments in optimal control such as steepest descent techniques, suboptimal controllers, optimum filtering, and functional analysis techniques. Some earlier results are also discussed.
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1961 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Optimization by : George Leitmann
Download or read book Topics in Optimization written by George Leitmann and published by Elsevier. This book was released on 2016-06-03 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 31: Topics in Optimization compiles contributions to the field of optimization of dynamical systems. This book is organized into two parts. Part 1 covers reported investigations that are based on variational techniques and constitute essentially extensions of the classical calculus of variations. The contributions to optimal control theory and its applications, where the arguments are primarily geometric in nature, are discussed in Part 2. This volume specifically discusses the inequalities in a variational problem, singular extremals, mathematical foundations of system optimization, and synthesis of optimal controls. This publication is recommended for both theoreticians and practitioners.
Book Synopsis Modern Mathematics for the Engineer: Second Series by : Edwin F. Beckenbach
Download or read book Modern Mathematics for the Engineer: Second Series written by Edwin F. Beckenbach and published by Courier Corporation. This book was released on 2013-06-19 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second in this two-volume series also contains original papers commissioned from many of the most prominent and accomplished mathematicians of the 20th century. A three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. Contributors include William Feller, Stanislaw M. Ulam, and George Pólya. 1961 edition.
Book Synopsis International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by : Joseph Lasalle
Download or read book International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics written by Joseph Lasalle and published by Elsevier. This book was released on 2012-12-02 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.
Book Synopsis Advances in Control Systems by : C. T. Leondes
Download or read book Advances in Control Systems written by C. T. Leondes and published by Elsevier. This book was released on 2014-12-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Control Systems: Theory and Applications, Volume 4 provides information pertinent to the significant progress in the field of automatic control. This book presents several fundamental approaches to algorithms for the determination of optimum control inputs to a system. Organized into six chapters, this volume begins with an overview of presents the method of sequential optimization including examples of its application. This text then examines the powerful direct method of Liapunov function techniques to the subject of the stability of stochastic dynamical systems. Other chapters consider the aspect of optimum control of large-scale complex system, which is the most striking characteristic in the evolution of the practice of control systems theory. This book discusses as well the basic techniques for the modification of the control problem. The final chapter deals with the problem of convergence properties of the method of gradients. This book is a valuable resource for engineers.
Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Book Synopsis Linear Systems Theory by : João P. Hespanha
Download or read book Linear Systems Theory written by João P. Hespanha and published by Princeton University Press. This book was released on 2018-02-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully updated textbook on linear systems theory Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for instructors and students. João Hespanha looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization and examines advanced foundational topics, such as multivariable poles and zeros and LQG/LQR. The textbook presents only the most essential mathematical derivations and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these tools. This second edition contains a large number of new practice exercises with solutions. Based on typical problems, these exercises guide students to succinct and precise answers, helping to clarify issues and consolidate knowledge. The book's balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Easy-to-use textbook in unique lecture-style format Sidebars explain topics in further detail Annotated proofs and discussions of MATLAB commands Balanced chapters can each be taught in two hours of course lecture New practice exercises with solutions included
Book Synopsis Theory of Applied Robotics by : Reza N. Jazar
Download or read book Theory of Applied Robotics written by Reza N. Jazar and published by Springer Nature. This book was released on 2022-05-13 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Applied Robotics: Kinematics, Dynamics, and Control presents detailed robotics concepts at a theoretical-practical level, concentrating on their practical use. Related theorems and formal proofs are provided, as are real-life applications. This new edition is completely revised, and includes updated and expanded example sets and problems and new materials. This textbook is designed for undergraduate or first-year graduate programs in mechanical, systems, and industrial engineering. Practicing engineers, researchers, and related professionals will appreciate the book’s user-friendly presentation of a wealth of robotics topics, most notably in 3D kinematics and dynamics of manipulator robots.
Book Synopsis Optimization Techniques by : George Leitmann
Download or read book Optimization Techniques written by George Leitmann and published by Academic Press. This book was released on 1962-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade there has been a remarkable growth of interest in problems of systems optimization and of optimal control. And with this interest has come an increasing need for methods useful for rendering systems optimum. Rising to meet this challengc there have sprung up various "schools, often championing onc method and regarding it superior to all others. Long experience has shown that life is not so simple, that the picture is not all white and black. In short, one may expect that a particular method is superior to others for the solution of some problems-rarely for all problems. Furthermore, since the basic mathematical formulation of optimization problems is often essentially the same in many approaches, it is not unreasonable to expect that there may be a great deal of similarity among various methods, a similarity - often, indeed, an identity-which is obscured by dissimilarities in language and notation. To help the uncommitted in his search for and rhoice of the optimum optimization technique is the fundamental aim of this volume. To accomplish this aim there are assembled in one book ten chapters dealing &h the various methods currently espoused for the solution of problems in systems optimization and optimal control. The choice of authors has been dictated solely by a consideration of an author's interest and expertiless in a particular method. With the advantages of such an eclectic approach and the ensuing multiple authorship there comes some loss of smoothness of over - all presentation, for which the Editor must take the sole blame. On the one hand, correlation between the various chapters has been achieved by cross-referencing; on the other hand, each chapter can be read as a separate entity setting forth the technique championed by a particular "School. While each of the ten chapters dealing with methods includes simple examples, primarily for didactic purposes, it has been thought useful to present four additional chapters dealing with applications alone. Of these, the first three, Chapters 11-13, cover specific optimization problems, and the final chapter contains a discussion of problems in the optimization of a complete system, in this case a nuclear propulsion system.
Book Synopsis Geometric Methods and Optimization Problems by : Vladimir Boltyanski
Download or read book Geometric Methods and Optimization Problems written by Vladimir Boltyanski and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are the much discussed interplay between lin ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines.
