The notions of constant, discrete-time, and linear dynamical systems over a commutative ring and their corresponding input/output maps are defined and studied. Classical stability theory is generalized to systems over fields complete with respect to a rank-one valuation. The resulting "p-adic stabil
Algorithms for sentences over integral domains
โ Scribed by Shih Ping Tung
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 612 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0168-0072
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
conditions for the existence of cascade compensators and dynamic equivalence of linear systems over integral domains arc derived. The considerations lead IO constructive procedures for dynamic compensation. Kqvwor& Systems over rings. Dynamic compensation, Hermite and Smith forms.
Let A be an integral domain with field of fractions K. We investigate the structure of the overrings B โ K of A that are well-centered on A in the sense that each principal ideal of B is generated by an element of A. We consider the relation of well-centeredness to the properties of flatness, locali