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Author : T. Matsuo
Publisher : Springer
ISBN 13 : 9783662197578
Total Pages : 331 pages
Book Rating : 4.1/5 (975 download)
Download or read book Realization Theory of Continuous-Time Dynamical Systems written by T. Matsuo and published by Springer. This book was released on 2014-03-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tsuyoshi Matsuo
Publisher : Springer
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Realization Theory of Continuous-time Dynamical Systems written by Tsuyoshi Matsuo and published by Springer. This book was released on 1981 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yasumichi Hasegawa
Publisher : Springer Nature
ISBN 13 : 3030304809
Total Pages : 221 pages
Book Rating : 4.0/5 (33 download)
Download or read book System Theory of Continuous Time Finite Dimensional Dynamical Systems written by Yasumichi Hasegawa and published by Springer Nature. This book was released on 2019-09-26 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Tsuyoshi Matsuo
Publisher : Springer Science & Business Media
ISBN 13 : 9783540406754
Total Pages : 250 pages
Book Rating : 4.4/5 (67 download)
Download or read book Realization Theory of Discrete-Time Dynamical Systems written by Tsuyoshi Matsuo and published by Springer Science & Business Media. This book was released on 2003-10-08 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : R. E. Kalman
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (227 download)
Download or read book Realization of Continuous-Time Linear Dynamical Systems: Rigorous Theory in the Style of Schwartz written by R. E. Kalman and published by . This book was released on 1971 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper gives a rigorous definition of the input/output map of a linear constant dynamical system using generalized functions in the style of Schwartz. It is proved, using only natural constructions, that the minimal realization of such a system is governed by linear differential equations with constant coefficients (in the sense of Kalman). This is the first time such a result has been obtained; previous work required ad-hoc assumptions or lacked rigor. As a result of the theory developed in this paper, precise conditions are now known for the applicability of module theoretic-methods to the theory of continuous-time linear systems. (Author).
Author : Yasumichi Hasegawa
Publisher :
ISBN 13 : 9783030304812
Total Pages : 221 pages
Book Rating : 4.3/5 (48 download)
Download or read book System Theory of Continuous Time Finite Dimensional Dynamical Systems written by Yasumichi Hasegawa and published by . This book was released on 2020 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yasumichi Hasegawa
Publisher : Springer Science & Business Media
ISBN 13 : 3540794336
Total Pages : 249 pages
Book Rating : 4.5/5 (47 download)
Download or read book Approximate and Noisy Realization of Discrete-Time Dynamical Systems written by Yasumichi Hasegawa and published by Springer Science & Business Media. This book was released on 2008-06-02 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Yasumichi Hasegawa
Publisher : Springer Science & Business Media
ISBN 13 : 3642032176
Total Pages : 256 pages
Book Rating : 4.6/5 (42 download)
Download or read book Algebraically Approximate and Noisy Realization of Discrete-Time Systems and Digital Images written by Yasumichi Hasegawa and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with approximation and noise cancellation of dyn- ical systems which include linear and nonlinear input/output relationships. It also deal with approximation and noise cancellation of two dimensional arrays. It will be of special interest to researchers, engineers and graduate students who have specialized in ?ltering theory and system theory and d- ital images. This monograph is composed of two parts. Part I and Part II will deal with approximation and noise cancellation of dynamical systems or digital images respectively. From noiseless or noisy data, reduction will be made. A method which reduces model information or noise was proposed in the reference vol. 376 in LNCIS [Hasegawa, 2008]. Using this method will allow model description to be treated as noise reduction or model reduction without having to bother, for example, with solving many partial di?er- tial equations. This monograph will propose a new and easy method which produces the same results as the method treated in the reference. As proof of its advantageous e?ect, this monograph provides a new law in the sense of numerical experiments. The new and easy method is executed using the algebraic calculations without solving partial di?erential equations. For our purpose,manyactualexamplesofmodelinformationandnoisereductionwill 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.
Author : Roger W. Brockett
Publisher : SIAM
ISBN 13 : 1611973872
Total Pages : 260 pages
Book Rating : 4.6/5 (119 download)
Download or read book Finite Dimensional Linear Systems written by Roger W. Brockett and published by SIAM. This book was released on 2015-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.
Author : Christopher Beattie
Publisher : Springer Nature
ISBN 13 : 303095157X
Total Pages : 462 pages
Book Rating : 4.0/5 (39 download)
Download or read book Realization and Model Reduction of Dynamical Systems written by Christopher Beattie and published by Springer Nature. This book was released on 2022-06-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book celebrates Professor Thanos Antoulas's 70th birthday, marking his fundamental contributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.
Author : Yasumichi Hasegawa
Publisher : Springer
ISBN 13 : 3319146300
Total Pages : 241 pages
Book Rating : 4.3/5 (191 download)
Download or read book Control Problems of Discrete-Time Dynamical Systems written by Yasumichi Hasegawa and published by Springer. This book was released on 2015-01-20 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817644865
Total Pages : 516 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stability of Dynamical Systems written by and published by Springer Science & Business Media. This book was released on 2008 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Author : M. Gössel
Publisher : Springer
ISBN 13 : 3540395105
Total Pages : 114 pages
Book Rating : 4.5/5 (43 download)
Download or read book Nonlinear Time-discrete Systems written by M. Gössel and published by Springer. This book was released on 2006-04-11 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Athanasios C. Antoulas
Publisher : Springer Science & Business Media
ISBN 13 : 3662085461
Total Pages : 589 pages
Book Rating : 4.6/5 (62 download)
Download or read book Mathematical System Theory written by Athanasios C. Antoulas and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.
Author : Brigitte d'Andréa-Novel
Publisher : Springer Science & Business Media
ISBN 13 : 3642343244
Total Pages : 299 pages
Book Rating : 4.6/5 (423 download)
Download or read book Control Theory for Engineers written by Brigitte d'Andréa-Novel and published by Springer Science & Business Media. This book was released on 2013-05-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Theory is at the heart of information and communication technologies of complex systems. It can contribute to meeting the energy and environmental challenges we are facing. The textbook is organized in the way an engineer classically proceeds to solve a control problem, that is, elaboration of a mathematical model capturing the process behavior, analysis of this model and design of a control to achieve the desired objectives. It is divided into three Parts. The first part of the text addresses modeling aspects through state space and input-output representations. The notion of the internal state of a system (for example mechanical, thermal or electrical), as well as its description using a finite number of variables, is also emphasized. The second part is devoted to the stability analysis of an equilibrium point. The authors present classical tools for stability analysis, such as linearization techniques and Lyapunov functions. Central to Control Theory are the notions of feedback and of closed-loop, and the third part of the textbook describes the linear control synthesis in a continuous and discrete-time framework and also in a probabilistic context. Quadratic optimization and Kalman filtering are presented, as well as the polynomial representation, a convenient approach to reject perturbations on the system without making the control law more complex. Throughout the text, different examples are developed, both in the chapters and in the exercises.
Author : Mohamed Djemai
Publisher : Springer
ISBN 13 : 331910795X
Total Pages : 341 pages
Book Rating : 4.3/5 (191 download)
Download or read book Hybrid Dynamical Systems written by Mohamed Djemai and published by Springer. This book was released on 2014-10-13 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers. Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends. The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident. Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.
Author : A. V. Balakrishnan M. Thoma
Publisher : Springer
ISBN 13 : 3662254492
Total Pages : 35 pages
Book Rating : 4.6/5 (622 download)
Download or read book An Index written by A. V. Balakrishnan M. Thoma and published by Springer. This book was released on 2013-11-21 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt:
