(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

• Type: Journal
• Year: 2000
• Where: SIAMCO
• Authors: Naoharu Ito, Wiland Schmale, Harald K. Wimmer
• Keywords: Discrete-time Linear Systems, Principal Ideal Domain, SIAMCO 2000, Sufficient Conditions