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Time Varying Discrete Linear Systems


Time Varying Discrete Linear Systems
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Time Varying Discrete Linear Systems


Time Varying Discrete Linear Systems
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Author : Aristide Halanay
language : en
Publisher: Birkhäuser
Release Date : 1994-03-01

Time Varying Discrete Linear Systems written by Aristide Halanay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-01 with Mathematics categories.


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 Varying Discrete Linear Systems


Time Varying Discrete Linear Systems
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Author : Aristide Halanay
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Time Varying Discrete Linear Systems written by Aristide Halanay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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 Varying Discrete Linear Systems


Time Varying Discrete Linear Systems
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Author : Aristide HALANAY
language : en
Publisher:
Release Date : 1994

Time Varying Discrete Linear Systems written by Aristide HALANAY and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.


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.



Analysis Of Periodically Time Varying Systems


Analysis Of Periodically Time Varying Systems
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Author : John A. Richards
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis Of Periodically Time Varying Systems written by John A. Richards and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


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.



Dynamics Of Time Varying Discrete Time Linear Systems 2 Spectral Theory


Dynamics Of Time Varying Discrete Time Linear Systems 2 Spectral Theory
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Author : Fabian Roger Wirth
language : en
Publisher:
Release Date : 1996

Dynamics Of Time Varying Discrete Time Linear Systems 2 Spectral Theory written by Fabian Roger Wirth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Linear Time Varying Systems And Sampled Data Systems


Linear Time Varying Systems And Sampled Data Systems
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Author : Akira Ichikawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-02-26

Linear Time Varying Systems And Sampled Data Systems written by Akira Ichikawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-26 with Medical categories.


This monograph considers linear optimal regulators, differential games and develops the theory for time-varying systems and jump systems.



Linear Systems


Linear Systems
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Author : Panos J. Antsaklis
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-24

Linear Systems written by Panos J. Antsaklis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-24 with Technology & Engineering categories.


"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.



Dynamics Of Time Varying Discrete Time Linear Systems Ii


Dynamics Of Time Varying Discrete Time Linear Systems Ii
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Author : Fabian Wirth
language : en
Publisher:
Release Date : 1996

Dynamics Of Time Varying Discrete Time Linear Systems Ii written by Fabian Wirth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Robust Control Of Linear Systems Subject To Uncertain Time Varying Parameters


Robust Control Of Linear Systems Subject To Uncertain Time Varying Parameters
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Author : Francesco Amato
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-21

Robust Control Of Linear Systems Subject To Uncertain Time Varying Parameters written by Francesco Amato and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-21 with Technology & Engineering categories.




Properties Of Time Varying Linear Systems


Properties Of Time Varying Linear Systems
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Author : Allen Gersho
language : en
Publisher:
Release Date : 1961

Properties Of Time Varying Linear Systems written by Allen Gersho and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Systems engineering categories.


A time-frequency duality is used to lead to a more complete characterization of time-varying linear systems. Several system functions are defined, which may be used to relate the input and output signals in different ways. In particular, a new transfer function is introduced that is dual to Zadeh's H transfer function for time-varying systems. The use of this transfer function leads to a new class of separable models for synthesizing time-varying systems. It is shown that under appropriate conditions either transfer function is determined uniquely from its real part. A new synthesis procedure based on the real-part sufficiency of the transfer function is described. (Author).