# Positive Realization of Continuous Linear Systems with Order Bound

### Kyungsup Kim, Jaecheol Ryou

#### Abstract

This paper discusses the realization problem of a class of linear-invariant system, in which state variables, input and output are restricted to be nonnegative to reflect physical constraints. This paper presents an efficient and general algorithm of positive realization for positive continuous-time linear systems in the case of transfer function with (multiple) real or complex poles. The solution of the corresponding problem for continuous-time positive is deduced from the discrete-time case by a transformation. We deal with the positive realization problem through convex cone analysis. We provide a simple general and unified construction method for the positive realization of the transfer function, which has multiple poles, upper-bound and a sparse realization matrix. We consider a sufficient condition of positive realization.

#### References

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#### Paper Citation

#### in Harvard Style

Kim K. and Ryou J. (2012). **Positive Realization of Continuous Linear Systems with Order Bound** . In *Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-8565-21-1, pages 566-569. DOI: 10.5220/0003981405660569

#### in Bibtex Style

@conference{icinco12,

author={Kyungsup Kim and Jaecheol Ryou},

title={Positive Realization of Continuous Linear Systems with Order Bound},

booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2012},

pages={566-569},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003981405660569},

isbn={978-989-8565-21-1},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Positive Realization of Continuous Linear Systems with Order Bound

SN - 978-989-8565-21-1

AU - Kim K.

AU - Ryou J.

PY - 2012

SP - 566

EP - 569

DO - 10.5220/0003981405660569