Introduction to Mathematical Systems Theory

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Release : 2013-11-11
Genre : Mathematics
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Book Rating : 537/5 ( reviews)

Introduction to Mathematical Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Mathematical Systems Theory write by J.C. Willems. This book was released on 2013-11-11. Introduction to Mathematical Systems Theory available in PDF, EPUB and Kindle. Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.

Introduction to Mathematical Systems Theory

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Release : 2006-12-18
Genre : Science
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Book Rating : 493/5 ( reviews)

Introduction to Mathematical Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Mathematical Systems Theory write by Christiaan Heij. This book was released on 2006-12-18. Introduction to Mathematical Systems Theory available in PDF, EPUB and Kindle. 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.

Mathematical Systems Theory I

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Release : 2011-08-03
Genre : Mathematics
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Book Rating : 255/5 ( reviews)

Mathematical Systems Theory I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Systems Theory I write by Diederich Hinrichsen. This book was released on 2011-08-03. Mathematical Systems Theory I available in PDF, EPUB and Kindle. This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

Mathematical Control Theory

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Release : 2008
Genre : Language Arts & Disciplines
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Book Rating : 322/5 ( reviews)

Mathematical Control Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Control Theory write by Jerzy Zabczyk. This book was released on 2008. Mathematical Control Theory available in PDF, EPUB and Kindle. In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.

Introduction to Mathematical Systems Theory

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Release : 2021-03-21
Genre : Science
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Book Rating : 540/5 ( reviews)

Introduction to Mathematical Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Mathematical Systems Theory write by Christiaan Heij. This book was released on 2021-03-21. Introduction to Mathematical Systems Theory available in PDF, EPUB and Kindle. 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.