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ISA Trans. 2013 May;52(3):326-34. doi: 10.1016/j.isatra.2013.01.003. Epub 2013 Feb 19.

Robust stability analysis of genetic regulatory network with time delays.

Author information

1
Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua 500, Taiwan, ROC. lpl@cc.ctu.edu.tw

Abstract

The robust asymptotic stability problem of genetic regulatory networks with time delays is investigated by Lyapunov functional approach and linear matrix inequality techniques (LMIs). Stability criteria for the delayed genetic regulatory networks are expressed as a set of LMIs, yielding much less conservative analytic results. New criteria with reduced conservatism are obtained and they involve less matrix parameters than the existing ones. Finally, three numerical examples are presented to illustrate effectiveness and less conservative results.

PMID:
23433548
DOI:
10.1016/j.isatra.2013.01.003
[Indexed for MEDLINE]

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