Numerical Aspects of Realization Algorithms in Linear Systems Theory

Numerical Aspects of Realization Algorithms in Linear Systems Theory PDF Author: Lieuwe Sytse de Jong
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 159

Book Description


Computational Aspects of Realization & Design Algorithms in Linear Systems Theory

Computational Aspects of Realization & Design Algorithms in Linear Systems Theory PDF Author: Chia-Chi Tsui
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 180

Book Description


Computational Aspects of Linear Control

Computational Aspects of Linear Control PDF Author: Claude Brezinski
Publisher: Springer Science & Business Media
ISBN: 9781402007118
Category : Mathematics
Languages : en
Pages : 316

Book Description
The main objective of this volume is to create a bridge between control theory and its numerical analysis aspects. It is unique because it presents both subjects in a single volume. The book combines an exposition of linear control theory and the corresponding modern relevant computational techniques such as orthogonal polynomials, Padé approximation, numerical linear algebra, and some topics on nonlinear differential equations. It can be considered as an introduction to control theory for numerical analysts looking for a wide area of applications and as an introduction to recent numerical methods for control specialists. Audience: Aimed at advanced students at a doctoral or post-doctoral level, engineers, and researchers in control theory and numerical analysis.

Analysis and Design of Descriptor Linear Systems

Analysis and Design of Descriptor Linear Systems PDF Author: Guang-Ren Duan
Publisher: Springer Science & Business Media
ISBN: 1441963979
Category : Mathematics
Languages : en
Pages : 504

Book Description
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.

Linear Algebra in Signals, Systems, and Control

Linear Algebra in Signals, Systems, and Control PDF Author: Biswa Nath Datta
Publisher: SIAM
ISBN: 9780898712230
Category : Technology & Engineering
Languages : en
Pages : 692

Book Description


Numerical Methods for Linear Control Systems

Numerical Methods for Linear Control Systems PDF Author: Biswa Datta
Publisher: Academic Press
ISBN: 0122035909
Category : Mathematics
Languages : en
Pages : 737

Book Description
Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples

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.

Mathematical Control Theory

Mathematical Control Theory PDF Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
ISBN: 1461205778
Category : Mathematics
Languages : en
Pages : 543

Book Description
Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

Numerical Linear Algebra Techniques for Systems and Control

Numerical Linear Algebra Techniques for Systems and Control PDF Author: IEEE Control Systems Society
Publisher: Piscataway, NJ : IEEE Press
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 744

Book Description
A reprint collection of practical papers covering the broad scope of numerical linear algebra in computer-aided control system design software. Between the 35-page introduction and extensive 21-page bibliography, are seven sections: general numerical issues in control; controllability, observability, and realizations; "closeness" problems; frequency response, transfer functions, poles, and zeros; pole assignment and observer design; Riccati, Lyapunov, and Sylvester equations; and some relevant results from numerical linear algebra. Annotation copyright by Book News, Inc., Portland, OR

System Identification Advances and Case Studies

System Identification Advances and Case Studies PDF Author:
Publisher: Academic Press
ISBN: 0080956351
Category : Mathematics
Languages : en
Pages : 606

Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering