Introduction to mathematical systems theory : discrete time linear systems, control and identification

書誌事項

Introduction to mathematical systems theory : discrete time linear systems, control and identification

Christiaan Heij, André C.M. Ran, Frederik van Schagen

Birkhäuser, c2021

2nd ed

  • : pbk

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注記

Includes bibliographical references (p. 189-192) and index

内容説明・目次

内容説明

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.

目次

Preface.- Dynamical Systems.- Input-Output Systems.- State Space Models.- Stability.- Optimal Control.- Stochastic Systems.- Filtering and Prediction.- Stochastic Control.- System Identification.- Cycles and Trends.- Further Developments.

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