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Paper details
Number 2 - June 2002
Volume 12 - 2002
Externally and internally positive singular discrete-time linear systems
Tadeusz Kaczorek
Abstract
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.
Keywords
externally, internally, positive, singular, linear, system