The State Space Method Generalizations and Applications

The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays r...

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Bibliographic Details
Main Author: Alpay, Daniel
Corporate Author: SpringerLink (Online service)
Other Authors: Gohberg, I. (Israel), 1928-2009
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser Basel, 2006.
Series:Operator theory, advances and applications ; v. 161.
Subjects:
Online Access: Full text (Wentworth users only).

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505 0 |a Editorial Introduction -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Special Matrix Functions -- Matrix-J-unitary Noncommutative Rational Formal Power Series -- State/Signal Linear Time-invariant Systems Theory, Part I: Discrete Time Systems -- Conservative Structured Noncommutative Multidimensional Linear Systems -- The Bezout Integral Operator: Main Property and Underlying Abstract Scheme. 
520 |a The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists. 
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