Linear Dynamical Systems PDF Download
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| Author | : Hendra I Nurdin |
| Publisher | : Springer |
| Total Pages | : 262 |
| Release | : 2017-05-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3319552015 |
Download Linear Dynamical Quantum Systems Book in PDF, ePub and Kindle
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.
| Author | : Fritz Colonius |
| Publisher | : American Mathematical Society |
| Total Pages | : 302 |
| Release | : 2014-10-03 |
| Genre | : Mathematics |
| ISBN | : 0821883194 |
Download Dynamical Systems and Linear Algebra Book in PDF, ePub and Kindle
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.
| Author | : Mircea D. Grigoriu |
| Publisher | : Springer Nature |
| Total Pages | : 155 |
| Release | : 2021-01-30 |
| Genre | : Science |
| ISBN | : 3030645525 |
Download Linear Dynamical Systems Book in PDF, ePub and Kindle
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 |
| Total Pages | : 303 |
| Release | : 2010-02-04 |
| Genre | : Mathematics |
| ISBN | : 184996100X |
Download Linear, Time-varying Approximations to Nonlinear Dynamical Systems Book in PDF, ePub and Kindle
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.
| Author | : Casti |
| Publisher | : Academic Press |
| Total Pages | : 350 |
| Release | : 1987-03-19 |
| Genre | : Computers |
| ISBN | : 0080956440 |
Download Linear Dynamical Systems Book in PDF, ePub and Kindle
Linear Dynamical Systems
| Author | : Zoran Gajic |
| Publisher | : Prentice Hall |
| Total Pages | : 0 |
| Release | : 2003 |
| Genre | : Linear systems |
| ISBN | : 9780201618549 |
Download Linear Dynamic Systems and Signals Book in PDF, ePub and Kindle
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
| Author | : Morris W. Hirsch |
| Publisher | : Academic Press |
| Total Pages | : 358 |
| Release | : 1974-06-28 |
| Genre | : Mathematics |
| ISBN | : 0080873766 |
Download Differential Equations, Dynamical Systems, and Linear Algebra Book in PDF, ePub and Kindle
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.
| Author | : Patricia Melin |
| Publisher | : CRC Press |
| Total Pages | : 262 |
| Release | : 2001-10-25 |
| Genre | : Mathematics |
| ISBN | : 1420024523 |
Download Modelling, Simulation and Control of Non-linear Dynamical Systems Book in PDF, ePub and Kindle
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
| Author | : Michał Piórek |
| Publisher | : Springer |
| Total Pages | : 132 |
| Release | : 2018-07-12 |
| Genre | : Technology & Engineering |
| ISBN | : 3319948873 |
Download Analysis of Chaotic Behavior in Non-linear Dynamical Systems Book in PDF, ePub and Kindle
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.
| Author | : Giuseppe C. Calafiore |
| Publisher | : Cambridge University Press |
| Total Pages | : 651 |
| Release | : 2014-10-31 |
| Genre | : Business & Economics |
| ISBN | : 1107050871 |
Download Optimization Models Book in PDF, ePub and Kindle
This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.
