Canonical free realizations for delay differential systems with incommensurable delays

✍ Scribed by Rikus Eising

• Book ID: 104300870
• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 482 KB
• Volume: 1
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(82)80048-0

✦ Synopsis

In this paper a class of delay differential systems is studied using an algebraic approach, Such a system is considered a system over a ring of dclay operators, The ring under consideration is a valuation domain. This fact enables us to construct canonical free realizations. Algorithms in order to perform these constructions are given. The results are improvements upon the case where a delay differential system with incommensurable delays is viewed as a system over a polynomial ring in several variables.