Linear Systems Analysis
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Signals and Transforms in Linear Systems Analysis
| Author | : Wasyl Wasylkiwskyj |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 387 |
| Release | : 2013-04-18 |
| Genre | : Technology & Engineering |
| ISBN | : 1461432871 |
Signals and Transforms in Linear Systems Analysis covers the subject of signals and transforms, particularly in the context of linear systems theory. Chapter 2 provides the theoretical background for the remainder of the text. Chapter 3 treats Fourier series and integrals. Particular attention is paid to convergence properties at step discontinuities. This includes the Gibbs phenomenon and its amelioration via the Fejer summation techniques. Special topics include modulation and analytic signal representation, Fourier transforms and analytic function theory, time-frequency analysis and frequency dispersion. Fundamentals of linear system theory for LTI analogue systems, with a brief account of time-varying systems, are covered in Chapter 4 . Discrete systems are covered in Chapters 6 and 7. The Laplace transform treatment in Chapter 5 relies heavily on analytic function theory as does Chapter 8 on Z -transforms. The necessary background on complex variables is provided in Appendix A. This book is intended to serve as a text on signals and transforms for a first year one semester graduate course, primarily for electrical engineers.
Signal and Linear System Analysis
| Author | : Carlson |
| Publisher | : Allied Publishers |
| Total Pages | : 768 |
| Release | : 1992 |
| Genre | : Linear systems |
| ISBN | : 9788170232384 |
Analysis and Design of Descriptor Linear Systems
| Author | : Guang-Ren Duan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 504 |
| Release | : 2010-09-14 |
| Genre | : Mathematics |
| ISBN | : 1441963979 |
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.
Dynamic Systems Control
| Author | : Robert E. Skelton |
| Publisher | : |
| Total Pages | : 536 |
| Release | : 1988-02-08 |
| Genre | : Science |
| ISBN | : |
This text deals with matrix methods for handling, reducing, and analyzing data from a dynamic system, and covers techniques for the design of feedback controllers for those systems which can be perfectly modeled. Unlike other texts at this level, this book also provides techniques for the design of feedback controllers for those systems which cannot be perfectly modeled. In addition, presentation draws attention to the iterative nature of the control design process, and introduces model reduction and concepts of equivalent models, topics not generally covered at this level. Chapters cover mathematical preliminaries, models of dynamic systems, properties of state space realizations, controllability and observability, equivalent realizations and model reduction, stability, optimal control of time-variant systems, state estimation, and model error concepts and compensation. Extensive appendixes cover the requisite mathematics.
Linear Dynamical Quantum Systems
| Author | : Hendra I Nurdin |
| Publisher | : Springer |
| Total Pages | : 273 |
| Release | : 2017-05-11 |
| Genre | : Technology & Engineering |
| ISBN | : 3319552015 |
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.
Sensitivity Analysis in Linear Systems
| Author | : Assem Deif |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 235 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 364282739X |
A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.
The Statistical Theory of Linear Systems
| Author | : E. J. Hannan |
| Publisher | : SIAM |
| Total Pages | : 418 |
| Release | : 2012-05-31 |
| Genre | : Business & Economics |
| ISBN | : 1611972183 |
Originally published: New York: Wiley, c1988.
Linear Systems and Control
| Author | : Martin J. Corless |
| Publisher | : CRC Press |
| Total Pages | : 368 |
| Release | : 2003-03-27 |
| Genre | : Mathematics |
| ISBN | : 9780203911372 |
Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
Switched Linear Systems
| Author | : Zhendong Sun |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2006-03-30 |
| Genre | : Technology & Engineering |
| ISBN | : 1846281318 |
Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.
