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Linear Dynamical Systems
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Book Synopsis Linear Dynamical Quantum Systems by : Hendra I Nurdin
Download or read book Linear Dynamical Quantum Systems written by Hendra I Nurdin and published by Springer. This book was released on 2017-05-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated. Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.
Book Synopsis Dynamical Systems and Linear Algebra by : Fritz Colonius
Download or read book Dynamical Systems and Linear Algebra written by Fritz Colonius and published by American Mathematical Society. This book was released on 2014-10-03 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in ℝd and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a starting point for a linear algebra for classes of time-varying linear systems, namely periodic, random, and perturbed (or controlled) systems. The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students.
Book Synopsis Linear Dynamical Systems by : Mircea D. Grigoriu
Download or read book Linear Dynamical Systems written by Mircea D. Grigoriu and published by Springer Nature. This book was released on 2021-01-30 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a concise, clear, and rigorous presentation of the dynamics of linear systems that delivers the necessary tools for the analysis and design of mechanical/ structural systems, regardless of their complexity. The book is written for senior undergraduate and first year graduate students as well as engineers working on the design of mechanical/structural systems subjected to dynamic actions, such as wind/earthquake engineers and mechanical engineers working on wind turbines. Professor Grigoriu's lucid presentation maximizes student understanding of the formulation and the solution of linear systems subjected to dynamic actions, and provides a clear distinction between problems of practical interest and their special cases. Based on the author's lecture notes from courses taught at Cornell University, the material is class-tested over many years and ideal as a core text for a range of classes in mechanical, civil, and geotechnical engineering, as well as for self-directed learning by practitioners in the field.
Author :Maria Tomas-Rodriguez Publisher :Springer Science & Business Media ISBN 13 :184996100X Total Pages :303 pages Book Rating :4.8/5 (499 download)
Book Synopsis Linear, Time-varying Approximations to Nonlinear Dynamical Systems by : Maria Tomas-Rodriguez
Download or read book Linear, Time-varying Approximations to Nonlinear Dynamical Systems written by Maria Tomas-Rodriguez and published by Springer Science & Business Media. This book was released on 2010-02-04 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
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
Book Synopsis Linear Dynamic Systems and Signals by : Zoran Gajic
Download or read book Linear Dynamic Systems and Signals written by Zoran Gajic and published by Prentice Hall. This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author's twelve years of experience with linear systems and signals are reflected in this comprehensive book. The book contains detailed linear systems theory essentials. The intent of this book is to develop the unified techniques to recognize and solve linear dynamical system problems regardless of their origin. Includes Space state techniques as the time domain approach for studying linear systems. Provides a solid foundation on linear dynamic systems and corresponding systems using the dynamic system point of view. Parallels continuous- and discrete-time linear systems throughout to help users grasp the similarities and differences of each. Three part organization: Part I covers frequency-domain approach to linear dynamic systems, Part II covers the time-domain approach to linear dynamic systems, and Part III discusses the linear system approach to electrical engineering, to allow the user to focus of the subject matter as it pertains to their needs. For anyone interested in linear systems and signals
Book Synopsis Differential Equations, Dynamical Systems, and Linear Algebra by : Morris W. Hirsch
Download or read book Differential Equations, Dynamical Systems, and Linear Algebra written by Morris W. Hirsch and published by Academic Press. This book was released on 1974-06-28 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.
Book Synopsis Modelling, Simulation and Control of Non-linear Dynamical Systems by : Patricia Melin
Download or read book Modelling, Simulation and Control of Non-linear Dynamical Systems written by Patricia Melin and published by CRC Press. This book was released on 2001-10-25 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: These authors use soft computing techniques and fractal theory in this new approach to mathematical modeling, simulation and control of complexion-linear dynamical systems. First, a new fuzzy-fractal approach to automated mathematical modeling of non-linear dynamical systems is presented. It is illustrated with examples on the PROLOG programming la
Book Synopsis Analysis of Chaotic Behavior in Non-linear Dynamical Systems by : Michał Piórek
Download or read book Analysis of Chaotic Behavior in Non-linear Dynamical Systems written by Michał Piórek and published by Springer. This book was released on 2018-07-12 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.
Book Synopsis Optimization Models by : Giuseppe C. Calafiore
Download or read book Optimization Models written by Giuseppe C. Calafiore and published by Cambridge University Press. This book was released on 2014-10-31 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.
Book Synopsis Introduction to Dynamic Systems by : David G. Luenberger
Download or read book Introduction to Dynamic Systems written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1979-05-28 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference and differential equations; Linear algebra; Linear state equations; Linear systems with constant coefficients; Positive systems; Markov chains; Concepts of control; Analysis of nonlinear systems; Some important dynamic systems; Optimal control.
Book Synopsis Robust Control of Linear Dynamical Systems by : P. C. Chandrasekharan
Download or read book Robust Control of Linear Dynamical Systems written by P. C. Chandrasekharan and published by Academic Press. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade, significant advances have taken place in the area of robust control. Unfortunately, many of these developments are scattered in research publications and are accessible only to a selected group of experts. Often, the original ideas and the motivations for pursuing a particular path are lost in a maze of mathematical formalism. Robust Control of Linear Dynamical Systems is intended to bring these important ideas and techniques to the attention of a wider audience. The author uses a step-by-step approach to guide the reader through this sometimes difficult material. Mathematical rigor is balanced with readability to provide the reader with an easy understanding of the important aspects of robust control. The book is suitable as a textbook for students in engineering with some previous exposure to linear system theory. Itis equally appropriate as a self-study guide for those interested in acquiring a deeper knowledge of robust control design. . It is essentially self contained and the principal concepts involved have been developed right from the fundamentals. . While the main emphasis is on state space, the operator and functional formalism has been given adequate weight. . One chapter has been exclusively devoted to Kharitonov theory and related developments. . The pedagogic nature of the book has been further enhanced by providing exercises at the end of every chapter.
Book Synopsis Differential Dynamical Systems, Revised Edition by : James D. Meiss
Download or read book Differential Dynamical Systems, Revised Edition written by James D. Meiss and published by SIAM. This book was released on 2017-01-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts?flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. This new edition contains several important updates and revisions throughout the book. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple?, Mathematica?, and MATLAB? software to give students practice with computation applied to dynamical systems problems.
Book Synopsis Dynamical Systems by : Shlomo Sternberg
Download or read book Dynamical Systems written by Shlomo Sternberg and published by Courier Corporation. This book was released on 2010-07-21 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.
Book Synopsis Non-Linear Differential Equations and Dynamical Systems by : LUIS MANUEL. BRAGA DA COSTA CAMPOS
Download or read book Non-Linear Differential Equations and Dynamical Systems written by LUIS MANUEL. BRAGA DA COSTA CAMPOS and published by . This book was released on 2024-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This the second book of Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-Volume Set, in the Mathematics and Physics for Science and Technology series. This book considers general first-order differential equations, including non-linear and with variable coefficients.
Book Synopsis Estimation and Control of Dynamical Systems by : Alain Bensoussan
Download or read book Estimation and Control of Dynamical Systems written by Alain Bensoussan and published by Springer. This book was released on 2018-05-23 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control. Many aspects which are not easily found in a single text are provided, such as connections between control theory and mathematical finance, as well as differential games. The book is self-contained and prioritizes concepts rather than full rigor, targeting scientists who want to use control theory in their research in applied mathematics, engineering, economics, and management science. Examples and exercises are included throughout, which will be useful for PhD courses and graduate courses in general. Dr. Alain Bensoussan is Lars Magnus Ericsson Chair at UT Dallas and Director of the International Center for Decision and Risk Analysis which develops risk management research as it pertains to large-investment industrial projects that involve new technologies, applications and markets. He is also Chair Professor at City University Hong Kong.
Book Synopsis Positive Linear Systems by : Lorenzo Farina
Download or read book Positive Linear Systems written by Lorenzo Farina and published by John Wiley & Sons. This book was released on 2011-09-30 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete study on an important class of linear dynamicalsystems-positive linear systems One of the most often-encountered systems in nearly all areas ofscience and technology, positive linear systems is a specific butremarkable and fascinating class. Renowned scientists LorenzoFarina and Sergio Rinaldi introduce readers to the world ofpositive linear systems in their rigorous but highly accessiblebook, rich in applications, examples, and figures. This professional reference is divided into three main parts: Thefirst part contains the definitions and basic properties ofpositive linear systems. The second part, following the theoreticalexposition, reports the main conceptual results, consideringapplicable examples taken from a number of widely used models. Thethird part is devoted to the study of some classes of positivelinear systems of particular relevance in applications (such as theLeontief model, the Leslie model, the Markov chains, thecompartmental systems, and the queueing systems). Readers familiarwith linear algebra and linear systems theory will appreciate theway arguments are treated and presented. Extraordinarily comprehensive, Positive Linear Systemsfeatures: * Applications from a variety of backgrounds including modeling,control engineering, computer science, demography, economics,bioengineering, chemistry, and ecology * References and annotated bibliographies throughout the book * Two appendices concerning linear algebra and linear systemstheory for readers unfamiliar with the mathematics used Farina and Rinaldi make no effort to hide their enthusiasm for thetopics presented, making Positive Linear Systems: Theory andApplications an indispensable resource for researchers andprofessionals in a broad range of fields.
