The State Space Method Generalizations and Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alpay, Daniel (Editor), Gohberg, Israel (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Operator Theory: Advances and Applications ; 161
• Subjects: Mathematics.; Matrix theory.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Operator theory.; Special functions.; System theory.; Physics.; Analysis.; Systems Theory, Control.; Linear and Multilinear Algebras, Matrix Theory.; Operator Theory.; Mathematical Methods in Physics.; Special Functions.
• Physical Description: IX, 274 p. online resource.
• ISBN: 9783764374310

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.