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Positive input reachability and controllability of positive systems. (English) Zbl 0633.93008

Controllability and reachability for linear discrete finite-dimensional time-invariant control systems are studied. It is assumed that the systems are positive, i.e., all parameters are nonnegative and the controls are also nonnegative. For such positive systems several conditions for various kinds of controllability and reachability are presented and proved. The relations to unconstrained controllability problems are given and explained. Some illustrative examples are also presented. Moreover, general remarks and comments on constrained controllability are given.
Similar problems have been recently considered in a paper by D. N. P. Murthy [Int. J. Syst. Sci. 17, 49-54 (1986; Zbl 0581.93010)].
Reviewer: J.Klamka

MSC:

93B05 Controllability
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93B03 Attainable sets, reachability

Citations:

Zbl 0581.93010
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References:

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