Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach

ISBN-13: 9783540428213 / Angielski / Miękka / 2001 / 178 str.

Heide Gluesing-Luerssen

Opis

This volume deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The text aims to show that with a suitable algebraic setting a behavioural theory for dynamical systems described by such equations can be developed.

Spis treści

Introduction.- The Algebraic Framework.- The Algebraic Structure of H_0. Divisibility Properties. Matrices over H_0. Systems over Rings: A Brief Survery. The Nonfinitely Generated Ideals of H_0. The Ring H as a Convolution Algebra. Computing the Bezout Identity.- Behaviors of Delay-Differential Systems. The Lattice of Behaviors. Input/Output Systems. Transfer Classes and Controllable Systems. Subbehaviors and Interconnections. Assigning the Characteristic Function. Biduals of Nonfinitely Generated Ideals.- First-Order Representations. Multi-Operator Systems. The Realization Procedure of Fuhrmann. First-Order Realizations. Some Minimality Issues.