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Controllability of multi-input positive discrete-time systems. (English) Zbl 0702.93012
Summary: Linear discrete-time positive systems arise in various fields of science, such as economic modelling, behavioural science, stochastic processes, etc. Recently, D. N. P. Murthy [Int. J. Syst. Sci. 17, 49-54 (1986; Zbl 0581.93010)] and the authors [Int. J. Control 50, No.6, 2523-2542 (1989; Zbl 0694.93003)] have examined the problem of the controllability of such systems for the single-input case. This paper provides necessary and sufficient conditions for characterizing the controllability properties of multi-input systems. The results here developed show that only a narrow class of these systems enjoys the properties of reachability and controllability.

MSC:
93B05 Controllability
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93C35 Multivariable systems, multidimensional control systems
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