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- W2072690737 abstract "We shall introduce a new module structure to a large class of continuous-time constant linear systems. This is done as a natural extension of the classical k[z] -module structure of finite-dimensional constant linear systems. This module action is used to investigate the relationship between reachability and controllability of linear systems. After introducing the notion of K -controllability due to Kamen [12], we give the following result in Section 5: If a constant linear system is described by a functional differential equation x ̇ = Fx + Gu, where x and G belong to a Banach space X , and if G is K -controllable to zero, then every reachable state is reachable and controllable in bounded time. (The result given in Section 5 is a little more general than this.) We also give a simple example in Section 6 to illustrate this result." @default.
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- W2072690737 date "1981-10-01" @default.
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- W2072690737 title "Module structure of constant linear systems and its applications to controllability" @default.
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- W2072690737 doi "https://doi.org/10.1016/0022-247x(81)90133-5" @default.
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