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• W1991579213 abstract "This paper discusses reachability, observability, and realizability of single-input, single-output linear time-invariant systems, in which state variables and/or input (output) functions are restricted to be nonnegative to reflect physical constraints frequently encountered in real systems. We define a set reachable from the origin with nonnegative inputs, and also a set observable with nonnegative outputs. We investigate geometrical structures of the sets through convex analysis, and a duality relation between them is established. Next we consider positive realization of a given transfer function. Using the reachable set and the observable set, we give a necessary and sufficient condition for positive realizability. An example is given to demonstrate that a positive realizable transfer function does not in general have a jointly controllable and observable positive realization." @default.
• W1991579213 created "2016-06-24" @default.
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• W1991579213 date "1984-03-01" @default.
• W1991579213 modified "2023-10-18" @default.
• W1991579213 title "Reachability, Observability, and Realizability of Continuous-Time Positive Systems" @default.
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• W1991579213 doi "https://doi.org/10.1137/0322013" @default.
• W1991579213 hasPublicationYear "1984" @default.
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