# Zeros in linear systems with time delay in state

International Journal of Applied Mathematics and Computer Science (2009)

- Volume: 19, Issue: 4, page 609-617
- ISSN: 1641-876X

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topJerzy Tokarzewski. "Zeros in linear systems with time delay in state." International Journal of Applied Mathematics and Computer Science 19.4 (2009): 609-617. <http://eudml.org/doc/207959>.

@article{JerzyTokarzewski2009,

abstract = {The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.},

author = {Jerzy Tokarzewski},

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

keywords = {linear systems; time delay in state; state-space methods; output-zeroing problem; invariant zeros},

language = {eng},

number = {4},

pages = {609-617},

title = {Zeros in linear systems with time delay in state},

url = {http://eudml.org/doc/207959},

volume = {19},

year = {2009},

}

TY - JOUR

AU - Jerzy Tokarzewski

TI - Zeros in linear systems with time delay in state

JO - International Journal of Applied Mathematics and Computer Science

PY - 2009

VL - 19

IS - 4

SP - 609

EP - 617

AB - The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.

LA - eng

KW - linear systems; time delay in state; state-space methods; output-zeroing problem; invariant zeros

UR - http://eudml.org/doc/207959

ER -

## References

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