Algebraic Structure of Linear Dynamical Systems. III. Realization Theory Over a Commutative Ring

DOI10.1073/pnas.69.11.3404zbMath0264.34058OpenAlexW2069898048WikidataQ37500684 ScholiaQ37500684MaRDI QIDQ5680443

Yves Rouchaleau, R. E. Kalman, Bostwick F. Wyman

Publication date: 1972

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.69.11.3404

Mathematics Subject Classification ID

Integral domains (13G05) Dynamical systems and ergodic theory (37-XX) General commutative ring theory (13Axx)

Related Items

Distributed stabilisation of spatially invariant systems: positive polynomial approach ⋮ Block decoupling for linear systems over rings ⋮ First order representations of Fliess models ⋮ Remarks on the pole-shifting problem over rings ⋮ On an algebraic theory of systems defined by convolution operators ⋮ Realization of dynamical systems in scales of systems with aftereffect. I: Realizability ⋮ On linear systems and noncommutative rings ⋮ The lattice of minimal realizations of response maps over rings ⋮ Linear dynamical systems over integral domains ⋮ Ring models for delay-differential systems ⋮ Pole placement over integral domains ⋮ Linear equations over commutative rings ⋮ Duality and the regulator problem for linear systems over commutative rings ⋮ Realization algorithms for systems over a principal ideal domain ⋮ Multidimensional constant linear systems ⋮ Methods of invariant analysis for linear control systems. ⋮ Hereditary realizations of linear neutral delay-differential systems ⋮ Operations in the K-theory of endomorphisms