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- W2076862217 abstract "A combinatorial analogue of the dynamical system theory is developed in a matroid-theoretic framework. The combinatorial dynamical system is described by a combinatorial analogue of the state-space equation x k + 1 = Ax k + Bu k ; the matrices A and B are to be replaced by bimatroids (or linking systems). Related concepts such as controllability are defined and their fundamental properties are investigated. In particular, a sequence of matroids { R k } determined by a “stationary iteration” R k + 1 = A * R k ∨ N is considered, where A * R k is the matroid induced from R k by a bimatroid A , and N is a matroid." @default.
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- W2076862217 date "1988-03-01" @default.
- W2076862217 modified "2023-10-01" @default.
- W2076862217 title "Combinatorial dynamical system theory: General framework and controllability criteria" @default.
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- W2076862217 doi "https://doi.org/10.1016/0166-218x(88)90098-4" @default.
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