(A,B)-cyclic submodules

✍ Scribed by Jim Brewer; Wiland Schmale

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 129 KB
• Volume: 301
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00168-8

✦ Synopsis

An (A, B)-cyclic submodule M is generated by the states of one single trajectory of a linear control system whose parameters come from a commutative ring. M is "finite", when it is generated by the states of a "deadbeat-control" process. Motivations and basic properties of such modules are given and among several further results it is shown that the family of finite (A, B)-cyclic submodules is an invariant which (e.g., over polynomials) can be determined by an appropriate Gröbner basis computation.