Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory PDF Author: Christiaan Heij
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169

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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. 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.

Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory PDF Author: Christiaan Heij
Publisher: Springer Science & Business Media
ISBN: 3764375493
Category : Science
Languages : en
Pages : 169

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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. 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.

An Introduction to Infinite-Dimensional Linear Systems Theory

An Introduction to Infinite-Dimensional Linear Systems Theory PDF Author: Ruth F. Curtain
Publisher: Springer Science & Business Media
ISBN: 146124224X
Category : Mathematics
Languages : en
Pages : 714

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Book Description
Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

Linear System Theory

Linear System Theory PDF Author: Frank M. Callier
Publisher: Springer Science & Business Media
ISBN: 1461209579
Category : Technology & Engineering
Languages : en
Pages : 524

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Book Description
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.

An Introduction to the Theory of Linear Systems

An Introduction to the Theory of Linear Systems PDF Author: R. Fratila
Publisher:
ISBN:
Category : Linear systems
Languages : en
Pages : 197

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Book Description


Introduction to Linear System Theory

Introduction to Linear System Theory PDF Author: Chi-Tsong Chen
Publisher:
ISBN: 9780030771552
Category : Linear systems
Languages : en
Pages : 431

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Book Description


An Introduction to Linear Control Systems

An Introduction to Linear Control Systems PDF Author: Thomas E. Fortmann
Publisher: CRC Press
ISBN: 9780824765125
Category : Mathematics
Languages : en
Pages : 768

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Book Description


Linear Systems Theory

Linear Systems Theory PDF Author: Ben M. Chen
Publisher: Springer Science & Business Media
ISBN: 9780817637798
Category : Science
Languages : en
Pages : 440

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Book Description
Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.

Max-linear Systems: Theory and Algorithms

Max-linear Systems: Theory and Algorithms PDF Author: Peter Butkovič
Publisher: Springer Science & Business Media
ISBN: 1849962995
Category : Mathematics
Languages : en
Pages : 281

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Book Description
Recent years have seen a significant rise of interest in max-linear theory and techniques. Specialised international conferences and seminars or special sessions devoted to max-algebra have been organised. This book aims to provide a first detailed and self-contained account of linear-algebraic aspects of max-algebra for general (that is both irreducible and reducible) matrices. Among the main features of the book is the presentation of the fundamental max-algebraic theory (Chapters 1-4), often scattered in research articles, reports and theses, in one place in a comprehensive and unified form. This presentation is made with all proofs and in full generality (that is for both irreducible and reducible matrices). Another feature is the presence of advanced material (Chapters 5-10), most of which has not appeared in a book before and in many cases has not been published at all. Intended for a wide-ranging readership, this book will be useful for anyone with basic mathematical knowledge (including undergraduate students) who wish to learn fundamental max-algebraic ideas and techniques. It will also be useful for researchers working in tropical geometry or idempotent analysis.

An Introduction to the Theory of Linear Systems

An Introduction to the Theory of Linear Systems PDF Author: R. Fratila
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 224

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Book Description


The Statistical Theory of Linear Systems

The Statistical Theory of Linear Systems PDF Author: E. J. Hannan
Publisher: SIAM
ISBN: 1611972183
Category : Business & Economics
Languages : en
Pages : 418

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Book Description
Originally published: New York: Wiley, c1988.