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- W2092507777 abstract "This paper is a unified presentation of recent results obtained by the author on the structural analysis of dynamical systems by matroid-theoretic combinatorial methods. The first part consists of the results on combinatorial and algorithmic characterizations of control-theoretic generic properties. The analysis is based on a physically reasonable mathematical model which assumes that the coefficients in the equations are classified into independent physical parameters and dimensionless fixed constants. The concept of mixed matrix and its canonical form turn out to be convenient mathematical tools. The second part describes a combinatorial analogue of the dynamical system theory developed in the matroid-theoretic framework; the matrices A and B in the state-space equations ẋ = Ax+Bu are replaced by bimatroids (or linking systems)." @default.
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- W2092507777 date "1989-09-01" @default.
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- W2092507777 title "Some recent results in combinatorial approaches to dynamical systems" @default.
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- W2092507777 doi "https://doi.org/10.1016/0024-3795(89)90674-5" @default.
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