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- W1997926361 abstract "Given a system (A,B) over a commutative von Neumann regular ring R, it is proved that there exist a matrix F and a vector u such that the single-input system (A+BF,Bu) and the original system (A,B) have the same module of reachable states and the same set of polynomials assignable by state feedback. Moreover, there is a bijection between reachable states and assignable polynomials, in the form of a certain isomorphism of R-modules, and the existence of this isomorphism for all systems actually characterizes von Neumann regular rings. Finally, the set of assignable polynomials to a single-input system is completely described for arbitrary commutative rings, which in the case of von Neumann regular rings completes the study of assignable polynomials to multi-input systems." @default.
- W1997926361 created "2016-06-24" @default.
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- W1997926361 date "2015-04-01" @default.
- W1997926361 modified "2023-10-16" @default.
- W1997926361 title "Assignable polynomials to linear systems over von Neumann regular rings" @default.
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- W1997926361 doi "https://doi.org/10.1016/j.laa.2014.04.029" @default.
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