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Author: John A. Richards
Publisher: Springer Science & Business Media
ISBN: 3642818730
Category : Technology & Engineering
Languages : en
Pages : 186
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Book Description
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.
Author: John A. Richards
Publisher: Springer Science & Business Media
ISBN: 3642818730
Category : Technology & Engineering
Languages : en
Pages : 186
Get Book Here
Book Description
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.
Author: Norman Mark Wereley
Publisher:
ISBN:
Category :
Languages : en
Pages : 223
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Book Description
Author: Allen Gersho
Publisher:
ISBN:
Category : Systems engineering
Languages : en
Pages : 126
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Book Description
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).
Author: Belghasem Abdulgalil Dawaghi
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
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Book Description
Author: Sergio Bittanti
Publisher: Springer Science & Business Media
ISBN: 1848009100
Category : Language Arts & Disciplines
Languages : en
Pages : 438
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Book Description
This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.
Author: Aristide Halanay
Publisher: Birkhäuser
ISBN: 3034884990
Category : Mathematics
Languages : en
Pages : 237
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Book Description
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.
Author: Oren Fivel
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
This thesis applies Floquet theory to analyze linear periodic time-varying (LPTV) systems, which are represented by a system of ordinary differential equations (ODEs) that depend on a time variable ? and have a matrix of coefficients with period ? > 0 (or equivalently, with frequency ? =2??).
Author: Kostas S. Tsakalis
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 302
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Book Description
Author: Efim N. Rosenwasser
Publisher: Springer Nature
ISBN: 3031019563
Category : Technology & Engineering
Languages : en
Pages : 258
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Book Description
This book is devoted to the problem of sampled-data control of finite-dimensional linear continuous periodic (FDLCP) objects. It fills a deficit in coverage of this important subject. The methods presented here are based on the parametric transfer matrix, which has proven successful in the study of sampled-data systems with linear time-invariant objects. The book shows that this concept can be successfully transferred to sampled-data systems with FDLCP objects. It is set out in five parts: · · an introduction to the frequency approach for the mathematical description of FDLCP objects including the determination of their structure and their representation as a serial connection of periodic modulators and a linear time-invariant object; · construction of parametric transfer matrix for different types of open and closed sampled-data systems with FDLCP objects; · the solution of problems of causal modal control of FDLCP objects based on the mathematical apparatus of determinant polynomial equations; · consideration of the problem of constructing a quadratic quality functional for the H2-optimization problem of a single-loop synchronous sampled-data system with control delay; · description of the general H2-optimization procedure. Necessary mathematical reference material is included at relevant points in the book. Sampled-Data Control for Periodic Objects is of use to: scientists and engineers involved in research and design of systems of systems with FDLCP objects; graduate students wishing to broaden their scope of competence; their instructors; and mathematicians working in the field of control theory.
Author:
Publisher: European Control Association
ISBN:
Category :
Languages : en
Pages : 878
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Book Description
Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995
