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Controllability of a linear positive dynamic system. (English) Zbl 0581.93010
A positive dynamic system has the property that if the initial state is non-negative, then the state variable is non-negative for all future time. In this article, we study controllability of one such system with linear structure.

93B05 Controllability
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
15B48 Positive matrices and their generalizations; cones of matrices
Full Text: DOI
[1] DOI: 10.1109/TAC.1977.1101648 · Zbl 0368.93005 · doi:10.1109/TAC.1977.1101648
[2] KAI.MAN R. E., Boln Soc. mat. mex. 5 pp 102– (1960)
[3] KALMAN R. E., Contrib. diff. Eqns. 1 pp 189– (1963)
[4] DOI: 10.1109/TSMC.1981.4308637 · Zbl 0459.93031 · doi:10.1109/TSMC.1981.4308637
[5] DOI: 10.1109/TAC.1963.1105535 · doi:10.1109/TAC.1963.1105535
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