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Cover 1 Lecture Notes in Mathematics 1770 2 Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach 4 Copyright 5 Preface 6 Table of Contents 8 1 Introduction 10 2 The Algebraic Framework 16 3 The Algebraic Structure of \mathcal{H}_0 32 3.1 Divisibility Properties 34 3.2 Matrices over \mathcal{H}_0 44 3.3 Systems over Rings: A Brief Survey 52 3.4 The Nonfinitely Generated Ideals of \mathcal{H}_0 54 3.5 The Ring \mathcal{H} as a Convolution Algebra 60 3.6 Computing the Bezout Identity 68 4 Behaviors of Delay-Differential Systems 82 4.1 The Lattice of Behaviors 85 4.2 Input/Output Systems 98 4.3 T

Author
Heide Gluesing-Luerssen
Language
EN

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