Positivity of Continuous-Time Descriptor Systems With Time Delays

Zhang, Youmei and Zhang, Qingling and Tanaka, Tamaki and 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:https://doi.org/10.1109/TAC.2014.2321233) (Full text available)

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
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 23 Sep 2015 11:53 UTC
Last Modified: 09 Nov 2016 11:14 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/50593 (The current URI for this page, for reference purposes)
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