Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach
The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Σειρά: | Lecture notes in mathematics
1770 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear delay-differential systems with commensurate delays, an algebraic approach, Heide Gluesing-Luerssen, 2002, Berlin, Springer, 1 vol. (VI-176 p.), Lecture notes in mathematics, 3-540-42821-6 • Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach, Texte imprimé, 9783662206249 |
Πίνακας περιεχομένων:
- 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.