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Linear dynamical systems over integral domains

โœ Scribed by Yves Rouchaleau; Bostwick F. Wyman

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
646 KB
Volume
9
Category
Article
ISSN
0022-0000

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โœฆ Synopsis

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 stability theory" is used to solve the realization problem for matrix sequences over a broad class of integral domains, generalizing results first announced in Rouchaleau, Wyman, and Kalman [Proc. Nat.

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