Time-Varying Discrete Linear Systems

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Publisher : Birkhäuser
ISBN 13 : 3034884990
Total Pages : 237 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Time-Varying Discrete Linear Systems by : Aristide Halanay

Download or read book Time-Varying Discrete Linear Systems written by Aristide Halanay and published by Birkhäuser. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.

Linear Time Varying Systems and Sampled-data Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852334390
Total Pages : 382 pages
Book Rating : 4.3/5 (343 download)

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Book Synopsis Linear Time Varying Systems and Sampled-data Systems by : Akira Ichikawa

Download or read book Linear Time Varying Systems and Sampled-data Systems written by Akira Ichikawa and published by Springer Science & Business Media. This book was released on 2001-02-26 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.

Time-Varying Systems and Computations

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Publisher : Springer Science & Business Media
ISBN 13 : 1475728174
Total Pages : 457 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Time-Varying Systems and Computations by : Patrick DeWilde

Download or read book Time-Varying Systems and Computations written by Patrick DeWilde and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari able s or z and it is analytic in a large part of the complex plane. Many important prop erties of the system for which it is a transfer function are related to its analytic prop erties. On the other hand, engineers often encounter small and large matrices which describe (linear) maps between physically important quantities. In both cases similar mathematical and computational problems occur: operators, be they transfer functions or matrices, have to be simplified, approximated, decomposed and realized. Each field has developed theory and techniques to solve the main common problems encountered. Yet, there is a large, mysterious gap between complex function theory and numerical linear algebra. For example, complex function theory has solved the problem to find analytic functions of minimal complexity and minimal supremum norm that approxi e. g. , as optimal mate given values at strategic points in the complex plane. They serve approximants for a desired behavior of a system to be designed. No similar approxi mation theory for matrices existed until recently, except for the case where the matrix is (very) close to singular.

Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering

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Publisher : Springer
ISBN 13 : 3319288504
Total Pages : 268 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering by : Lixian Zhang

Download or read book Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering written by Lixian Zhang and published by Springer. This book was released on 2016-01-19 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.

Time-Varying Discrete Linear Systems

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Author :
Publisher : Birkhäuser
ISBN 13 : 9783764350123
Total Pages : 230 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Time-Varying Discrete Linear Systems by : Aristide Halanay

Download or read book Time-Varying Discrete Linear Systems written by Aristide Halanay and published by Birkhäuser. This book was released on 1994-03-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.

Time-Variant Systems and Interpolation

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764327385
Total Pages : 312 pages
Book Rating : 4.3/5 (273 download)

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Book Synopsis Time-Variant Systems and Interpolation by : Israel Gohberg

Download or read book Time-Variant Systems and Interpolation written by Israel Gohberg and published by Springer Science & Business Media. This book was released on 1992 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six papers deal with interrelated problems of modern operator theory, complex analysis, and system theory at a level accessible to advanced mathematicians and engineers. They provide a cross-section of recent advances in the understanding of the theory of time-varying systems and time-varying of analogues of interpolation problems. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Linear Time-varying Systems

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Publisher :
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Time-varying Systems by : Kostas S. Tsakalis

Download or read book Linear Time-varying Systems written by Kostas S. Tsakalis and published by . This book was released on 1993 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Discrete-Time Systems

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Publisher : CRC Press
ISBN 13 : 1351707590
Total Pages : 454 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Linear Discrete-Time Systems by : Zoran M. Buchevats

Download or read book Linear Discrete-Time Systems written by Zoran M. Buchevats and published by CRC Press. This book was released on 2017-11-22 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers crucial lacunae of the linear discrete-time time-invariant dynamical systems and introduces the reader to their treatment, while functioning under real, natural conditions, in forced regimes with arbitrary initial conditions. It provides novel theoretical tools necessary for the analysis and design of the systems operating in stated conditions. The text completely covers two well-known systems, IO and ISO, along with a new system, IIO. It discovers the concept of the full transfer function matrix F(z) in the z-complex domain, which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. Consequently, it addresses the full system matrix P(z) and the full block diagram technique based on the use of F(z), which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. The book explores the direct relationship between the system full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the linear discrete-time time-invariant system, for short systems.

Linear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644350
Total Pages : 685 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Linear Systems by : Panos J. Antsaklis

Download or read book Linear Systems written by Panos J. Antsaklis and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook!" —IEEE Transactions on Automatic Control Linear systems theory plays a broad and fundamental role in electrical, mechanical, chemical and aerospace engineering, communications, and signal processing. A thorough introduction to systems theory with emphasis on control is presented in this self-contained textbook, written for a challenging one-semester graduate course. A solutions manual is available to instructors upon adoption of the text. The book’s flexible coverage and self-contained presentation also make it an excellent reference guide or self-study manual. For a treatment of linear systems that focuses primarily on the time-invariant case using streamlined presentation of the material with less formal and more intuitive proofs, please see the authors’ companion book entitled A Linear Systems Primer.

Analysis of Periodically Time-Varying Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642818730
Total Pages : 186 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Analysis of Periodically Time-Varying Systems by : John A. Richards

Download or read book Analysis of Periodically Time-Varying Systems written by John A. Richards and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the practical techniques developed for treating systems described by periodic differential equations have arisen in different fields of application; con sequently some procedures have not always been known to workers in areas that might benefit substantially from them. Furthermore, recent analytical methods are computationally based so that it now seems an opportune time for an applications-oriented book to be made available that, in a sense, bridges the fields in which equations with periodic coefficients arise and which draws together analytical methods that are implemented readily. This book seeks to ftll that role, from a user's and not a theoretician's view. The complexities of periodic systems often demand a computational approach. Matrix treatments therefore are emphasized here although algebraic methods have been included where they are useful in their own right or where they establish properties that can be exploited by the matrix approach. The matrix development given calls upon the nomenclature and treatment of H. D'Angelo, Linear Time Varying Systems: Analysis and Synthesis (Boston: Allyn and Bacon 1970) which deals with time-varying systems in general. It is recommended for its modernity and comprehensive approach to systems analysis by matrix methods. Since the present work is applications-oriented no attempt has been made to be complete theoretically by way of presenting all proofs, existence theorems and so on. These can be found in D'Angelo and classic and well-developed treatises such as McLachlan, N. W. : Theory and application of Mathieu functions.

Discrete-Time Markov Jump Linear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1846280826
Total Pages : 287 pages
Book Rating : 4.8/5 (462 download)

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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

Linear Discrete-Time Systems

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Publisher : CRC Press
ISBN 13 : 1351707582
Total Pages : 373 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Linear Discrete-Time Systems by : Zoran M. Buchevats

Download or read book Linear Discrete-Time Systems written by Zoran M. Buchevats and published by CRC Press. This book was released on 2017-11-22 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers crucial lacunae of the linear discrete-time time-invariant dynamical systems and introduces the reader to their treatment, while functioning under real, natural conditions, in forced regimes with arbitrary initial conditions. It provides novel theoretical tools necessary for the analysis and design of the systems operating in stated conditions. The text completely covers two well-known systems, IO and ISO, along with a new system, IIO. It discovers the concept of the full transfer function matrix F(z) in the z-complex domain, which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. Consequently, it addresses the full system matrix P(z) and the full block diagram technique based on the use of F(z), which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. The book explores the direct relationship between the system full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the linear discrete-time time-invariant system, for short systems.

Stability of Time-Variant Discrete-Time Systems

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Author :
Publisher : Springer-Verlag
ISBN 13 : 3663139328
Total Pages : 157 pages
Book Rating : 4.6/5 (631 download)

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Book Synopsis Stability of Time-Variant Discrete-Time Systems by : Günter Ludyk

Download or read book Stability of Time-Variant Discrete-Time Systems written by Günter Ludyk and published by Springer-Verlag. This book was released on 2013-11-21 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite-Time Stability: An Input-Output Approach

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Publisher : John Wiley & Sons
ISBN 13 : 1119140528
Total Pages : 184 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Finite-Time Stability: An Input-Output Approach by : Francesco Amato

Download or read book Finite-Time Stability: An Input-Output Approach written by Francesco Amato and published by John Wiley & Sons. This book was released on 2018-10-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, covering issues of analysis, design and robustness The interest in finite-time control has continuously grown in the last fifteen years. This book systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, with specific reference to linear time-varying systems and hybrid systems. It discusses analysis, design and robustness issues, and includes applications to real world engineering problems. While classical FTS has an important theoretical significance, IO-FTS is a more practical concept, which is more suitable for real engineering applications, the goal of the research on this topic in the coming years. Key features: Includes applications to real world engineering problems. Input-output finite-time stability (IO-FTS) is a practical concept, useful to study the behavior of a dynamical system within a finite interval of time. Computationally tractable conditions are provided that render the technique applicable to time-invariant as well as time varying and impulsive (i.e. switching) systems. The LMIs formulation allows mixing the IO-FTS approach with existing control techniques (e. g. H∞ control, optimal control, pole placement, etc.). This book is essential reading for university researchers as well as post-graduate engineers practicing in the field of robust process control in research centers and industries. Topics dealt with in the book could also be taught at the level of advanced control courses for graduate students in the department of electrical and computer engineering, mechanical engineering, aeronautics and astronautics, and applied mathematics.

Advanced Topics in Control Systems Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9781846283130
Total Pages : 312 pages
Book Rating : 4.2/5 (831 download)

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Book Synopsis Advanced Topics in Control Systems Theory by : Antonio Loría

Download or read book Advanced Topics in Control Systems Theory written by Antonio Loría and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected contributions by lecturers at the third annual Formation d’Automatique de Paris. It provides a well-integrated synthesis of the latest thinking in nonlinear optimal control, observer design, stability analysis and structural properties of linear systems, without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe.

Time-varying discrete linear systems

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (71 download)

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Book Synopsis Time-varying discrete linear systems by : Aristide HALANAY

Download or read book Time-varying discrete linear systems written by Aristide HALANAY and published by . This book was released on 1994 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: General motivation; Evolutions and related basic notions; Nodes; Riccati equations and nodes; Disturbance attenuation; Appendix A: Discrete-time stochastic control; Appendix B: Almostic periodic discrete-time systems.

Discrete-Time Linear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461422817
Total Pages : 459 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Discrete-Time Linear Systems by : Guoxiang Gu

Download or read book Discrete-Time Linear Systems written by Guoxiang Gu and published by Springer Science & Business Media. This book was released on 2012-02-14 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its role in system design. The book focuses on system theory (including optimal state feedback and optimal state estimation) and system design (with applications to feedback control systems and wireless transceivers, plus system identification and channel estimation).