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Realization Theory of Discrete-Time Dynamical Systems

Realization Theory of Discrete-Time Dynamical Systems PDF Author: Tsuyoshi Matsuo
Publisher: Springer Science & Business Media
ISBN: 9783540406754
Category : Technology & Engineering
Languages : en
Pages : 250

Book Description
This monograph extends Realization Theory to the discrete-time domain. It includes new results and constructs a new and very wide inclusion relation for various non-linear dynamical systems. After establishing some features of discrete-time dynamical systems it presents results concerning systems which are proposed by the authors for the first time. They introduce General Dynamical Systems, Linear Representation Systems, Affine Dynamical Systems, Pseudo Linear Systems, Almost Linear Systems and So-called Linear Systems for discrete-time and demonstrate the relationship between them and the other dynamical systems. This book is intended for graduate students and researchers who study control theory.

Realization Theory of Discrete-Time Dynamical Systems

Realization Theory of Discrete-Time Dynamical Systems PDF Author: Tsuyoshi Matsuo
Publisher: Springer Science & Business Media
ISBN: 9783540406754
Category : Technology & Engineering
Languages : en
Pages : 250

Book Description
This monograph extends Realization Theory to the discrete-time domain. It includes new results and constructs a new and very wide inclusion relation for various non-linear dynamical systems. After establishing some features of discrete-time dynamical systems it presents results concerning systems which are proposed by the authors for the first time. They introduce General Dynamical Systems, Linear Representation Systems, Affine Dynamical Systems, Pseudo Linear Systems, Almost Linear Systems and So-called Linear Systems for discrete-time and demonstrate the relationship between them and the other dynamical systems. This book is intended for graduate students and researchers who study control theory.

Approximate and Noisy Realization of Discrete-Time Dynamical Systems

Approximate and Noisy Realization of Discrete-Time Dynamical Systems PDF Author: Yasumichi Hasegawa
Publisher: Springer Science & Business Media
ISBN: 3540794336
Category : Technology & Engineering
Languages : en
Pages : 249

Book Description
This monograph deals with approximation and noise cancellation of dynamical systems which include linear and nonlinear input/output relations. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory. From noisy or noiseless data, reductionwillbemade.Anewmethodwhichreducesnoiseormodelsinformation will be proposed. Using this method will allow model description to be treated as noise reduction or model reduction. As proof of the e?cacy, this monograph provides new results and their extensions which can also be applied to nonlinear dynamical systems. To present the e?ectiveness of our method, many actual examples of noise and model information reduction will also be provided. Using the analysis of state space approach, the model reduction problem may have become a major theme of technology after 1966 for emphasizing e?ciency in the ?elds of control, economy, numerical analysis, and others. Noise reduction problems in the analysis of noisy dynamical systems may havebecomeamajorthemeoftechnologyafter1974foremphasizinge?ciencyin control.However,thesubjectsoftheseresearcheshavebeenmainlyconcentrated in linear systems. In common model reduction of linear systems in use today, a singular value decompositionofaHankelmatrixisusedto?ndareducedordermodel.However, the existence of the conditions of the reduced order model are derived without evaluationoftheresultantmodel.Inthecommontypicalnoisereductionoflinear systems in use today, the order and parameters of the systems are determined by minimizing information criterion. Approximate and noisy realization problems for input/output relations can be roughly stated as follows: A. The approximate realization problem. For any input/output map, ?nd one mathematical model such that it is similar totheinput/outputmapandhasalowerdimensionthanthegivenminimalstate spaceofadynamicalsystemwhichhasthesamebehaviortotheinput/outputmap. B. The noisy realization problem.

Control Problems of Discrete-Time Dynamical Systems

Control Problems of Discrete-Time Dynamical Systems PDF Author: Yasumichi Hasegawa
Publisher: Springer
ISBN: 3319146300
Category : Technology & Engineering
Languages : en
Pages : 241

Book Description
This monograph deals with control problems of discrete-time dynamical systems which include linear and nonlinear input/output relations In its present second enlarged edition the control problems of linear and non-linear dynamical systems will be solved as algebraically as possible. Adaptive control problems are newly proposed and solved for dynamical systems which satisfy the time-invariant condition. The monograph provides new results and their extensions which can also be more applicable for nonlinear dynamical systems. A new method which produces manipulated inputs is presented in the sense of state control and output control. To present the effectiveness of the method, many numerical examples of control problems are provided as well.

Realization Theory of Continuous-Time Dynamical Systems

Realization Theory of Continuous-Time Dynamical Systems PDF Author: T. Matsuo
Publisher: Springer
ISBN: 9783662197578
Category : Technology & Engineering
Languages : en
Pages : 331

Book Description


Realization and Modelling in System Theory

Realization and Modelling in System Theory PDF Author: A.C. Ran
Publisher: Springer Science & Business Media
ISBN: 146123462X
Category : Science
Languages : en
Pages : 594

Book Description
This volume is the first of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989. The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The first volume contains invited papers and a large selection of other symposium presentations on the general theory of deterministic and stochastic systems with an emphasis on realization and modelling. A wide variety of recent results on approximate realization and system identification, stochastic dynamical systems, discrete event systems,- o systems, singular systems and nonstandard models IS presented. Preface vi Also a few papers on applications in hydrology and hydraulics are included. The titles of the two other volumes are: Robust Control of Linear Sys tems and Nonlinear Control (volume 2) and Signal Processing. Scatter ing and Operator Theory. and Numerical Methods (volume 3). The Editors are most grateful to the about 300 reviewers for their help in the refereeing process. The Editors thank Ms. G. Bijleveld and Ms.

Realization Theory of Continuous-time Dynamical Systems

Realization Theory of Continuous-time Dynamical Systems PDF Author: Tsuyoshi Matsuo
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 352

Book Description


Control Problems of Discrete-Time Dynamical Systems

Control Problems of Discrete-Time Dynamical Systems PDF Author: Yasumichi Hasegawa
Publisher: Springer
ISBN: 3642380581
Category : Technology & Engineering
Languages : en
Pages : 167

Book Description
This monograph deals with control problems of discrete-time dynamical systems, which include linear and nonlinear input/output relations. It will be of popular interest to researchers, engineers and graduate students who specialized in system theory. A new method, which produces manipulated inputs, is presented in the sense of state control and output control. This monograph provides new results and their extensions, which can also be more applicable for nonlinear dynamical systems. To present the effectiveness of the method, many numerical examples of control problems are provided as well.

System Theory of Continuous Time Finite Dimensional Dynamical Systems

System Theory of Continuous Time Finite Dimensional Dynamical Systems PDF Author: Yasumichi Hasegawa
Publisher: Springer Nature
ISBN: 3030304809
Category : Technology & Engineering
Languages : en
Pages : 221

Book Description
This book discusses the realization and control problems of finite-dimensional dynamical systems which contain linear and nonlinear systems. The author focuses on algebraic methods for the discussion of control problems of linear and non-linear dynamical systems. The book contains detailed examples to showcase the effectiveness of the presented method. The target audience comprises primarily research experts in the field of control theory, but the book may also be beneficial for graduate students alike.

Time-Variant Systems and Interpolation

Time-Variant Systems and Interpolation PDF Author: Israel Gohberg
Publisher: Springer Science & Business Media
ISBN: 9783764327385
Category : Mathematics
Languages : en
Pages : 312

Book Description
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

Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory PDF Author: Christiaan Heij
Publisher: Springer Nature
ISBN: 3030596540
Category : Science
Languages : en
Pages : 195

Book Description
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation. This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.