Positivity of Continuous-Time Descriptor Systems With Time Delays

Zhang, Youmei, Zhang, Qingling, Tanaka, Tamaki, Yan, Xinggang (2014) Positivity of Continuous-Time Descriptor Systems With Time Delays. IEEE Transactions on Automatic Control, 59 (11). pp. 3093-3097. ISSN 0018-9286. (doi:10.1109/TAC.2014.2321233) (KAR id:50593)

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Official URL: http://doi.org/10.1109/TAC.2014.2321233

Abstract

This technical note is concerned with positivity characteristic of continuous-time descriptor systems with time delays. First, a set of necessary and sufficient conditions is presented to check the property. Then, considering a descriptor time-delay system with two assumptions, a new time-delay system is established whose positivity is equivalent to that of the original system. Furthermore, a set of necessary and sufficient conditions is provided to check the positivity of the new system. Finally, a numerical example is given to illustrate the validity of the results obtained.

Item Type:	Article
DOI/Identification number:	10.1109/TAC.2014.2321233
Subjects:	T Technology
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Engineering and Digital Arts
Depositing User:	Tina Thompson
Date Deposited:	23 Sep 2015 11:53 UTC
Last Modified:	09 Dec 2022 02:47 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/50593 (The current URI for this page, for reference purposes)

University of Kent Author Information

Yan, Xinggang.

Creator's ORCID:	https://orcid.org/0000-0003-2217-8398
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