# Externally and internally positive singular discrete-time linear systems

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 2, page 197-202
- ISSN: 1641-876X

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topKaczorek, Tadeusz. "Externally and internally positive singular discrete-time linear systems." International Journal of Applied Mathematics and Computer Science 12.2 (2002): 197-202. <http://eudml.org/doc/207579>.

@article{Kaczorek2002,

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.},

author = {Kaczorek, Tadeusz},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {singular; positive; internally; externally; system; linear; linear systems},

language = {eng},

number = {2},

pages = {197-202},

title = {Externally and internally positive singular discrete-time linear systems},

url = {http://eudml.org/doc/207579},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Kaczorek, Tadeusz

TI - Externally and internally positive singular discrete-time linear systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 2

SP - 197

EP - 202

AB - 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.

LA - eng

KW - singular; positive; internally; externally; system; linear; linear systems

UR - http://eudml.org/doc/207579

ER -

## References

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