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.

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...

Table of Contents:

• Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions
• Matrix-J-unitary Non-commutative 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.