Preview
Unable to display preview. Download preview PDF.
References
Arbib, M. A. and Manes, E. G. [1973a], "Machines in a Category," Tech. Machines, and Duality," Tech. Rep. 73B-1. Dept. of Computer and Inform. Sci., Univ. of Mass at Amherst.
Cartan, H. and Eilenberg, S. [1956], Homological Algebra, Princeton.
Elliott, D. L. and Mullans, R. [1973], "Linear Systems over partially ordered Sets," to be published.
Fuchs, L. [1963], Partially Ordered Algebraic Systems, London.
Johnston, R. de B. [1973], "Linear Systems over Various Rings," M.I.T. Electronic Systemn Lab. Rep. ESL-R-497, (M.I.T. Dinnertntion).
Kalman, R. E. [1965], Algebraic Structure of Linear Dynamical Systems. I. The Module of Σ, Proc. Nat. Acad. Sci. (USA) 54: 1503–1508.
_____________, [1969], Lectures on Controllability and Observability, C.I.M.E. Summer Course, Bologna, 1968. Cremonese, Rome.
_____________, Falb, P., and Arbib, M. A. [1969], Topics in Mathematical System Theory, New York.
_____________ and Hautus, M. [1972], Realization of Continuous-time Linear Dynamical Systems, in Ordinary Differential Equations (Ed. L. Weiss), New York.
Kamen, E. W. [1973], "On an Algebraic Theory of Systems Defined by Convolution Operators," to be published.
MacLane, S. [1963], Homology, Berlin-Heidelberg-New York.
_____________ [1972], Categories for the Working Mathematician, Berlin-Heidelberg-New York.
Rouchaleau, Y. [1972], "Linear, Discrete Time, Finite Dimensional Dynamical Systems over Some classes of Commutative Rings," Dissertation, Stanford Univ.
_____________, and Wyman, B. F. [1974?], Linear Dynamical Systems over Integral Domains, to appear in J. Comp. Sys. Sci.
— —, and Kalman, R. E., [1972], Algebraic Structure of Linear Dynamical Systems. III. Realization Theory over a Commutative Ring, Proc. Nat. Acad. Sci. (USA), 69: 3404–3406.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wyman, B.F. (1975). Linear systems over rings of operators. In: Manes, E.G. (eds) Category Theory Applied to Computation and Control. Lecture Notes in Computer Science, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07142-3_86
Download citation
DOI: https://doi.org/10.1007/3-540-07142-3_86
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07142-6
Online ISBN: 978-3-540-37426-8
eBook Packages: Springer Book Archive