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SIAMCO
2000

(C, A)-Invariance of Modules over Principal Ideal Domains

13 years 4 months ago
(C, A)-Invariance of Modules over Principal Ideal Domains
Abstract. For discrete-time linear systems over a principal ideal domain, three types of (C, A)invariance can be distinguished. Connections between these notions are investigated. For pure submodules, necessary and sufficient conditions for dynamic (C, A)-injection invariance are given. Sufficient conditions are obtained in the general case. Key words. systems over rings, (C, A)-invariance, injection-invariance, (A, B)-invariance, feedback invariance, pure submodules, closure of submodules AMS subject classifications. 93B07, 93B99, 15A33, 13C99 PII. S0363012999355083
Naoharu Ito, Wiland Schmale, Harald K. Wimmer
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2000
Where SIAMCO
Authors Naoharu Ito, Wiland Schmale, Harald K. Wimmer
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