( C , A )-Invariance of Modules over Principal Ideal Domains
Naoharu Ito, Wiland Schmale, Hȧrald K. Wimmer · SIAM Journal on Control and Optimization · 2000
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.