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Externally and internally positive singular discrete-time linear systems

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 2

197-202

Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative), then it is not internally positive.