Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays

Chien-Yu Lu, Yu Min Su, Hsin Che Chang, Ho Chih Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper deals with the problem of the robust passivity for genetic regulatory networks with interval time-varying delays and norm-bounded parameter uncertainty. The regulatory functions are assumed to satisfy the globally Lipschitz continuous conditions. The interval time-varying delays exist in both the translation process and the feedback regulation process. Based on an improved bounding technique, a delay-dependent robust passivity condition is derived in terms of linear matrix inequalities (LMIs). The delay-dependent criterion is dependent on the lower and upper bounds of the time-varying delays. By an improved bounding technique, free-weighting matrices are introduced to reduce the conservatism of the criterion. The important feature of the results is to improve upper bounds to introduce some degree of conservativeness. The numerical example demonstrates the effectiveness and applicability of the proposed results.

Original languageEnglish
Title of host publicationASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings
Pages193-198
Number of pages6
Publication statusPublished - 2011 Aug 29
Event8th Asian Control Conference, ASCC 2011 - Kaohsiung, Taiwan
Duration: 2011 May 152011 May 18

Publication series

NameASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings

Other

Other8th Asian Control Conference, ASCC 2011
CountryTaiwan
CityKaohsiung
Period11-05-1511-05-18

Fingerprint

Linear matrix inequalities
Feedback
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Lu, C-Y., Su, Y. M., Chang, H. C., & Huang, H. C. (2011). Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays. In ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings (pp. 193-198). [5899070] (ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings).
Lu, Chien-Yu ; Su, Yu Min ; Chang, Hsin Che ; Huang, Ho Chih. / Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays. ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings. 2011. pp. 193-198 (ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings).
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Lu, C-Y, Su, YM, Chang, HC & Huang, HC 2011, Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays. in ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings., 5899070, ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings, pp. 193-198, 8th Asian Control Conference, ASCC 2011, Kaohsiung, Taiwan, 11-05-15.

Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays. / Lu, Chien-Yu; Su, Yu Min; Chang, Hsin Che; Huang, Ho Chih.

ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings. 2011. p. 193-198 5899070 (ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lu C-Y, Su YM, Chang HC, Huang HC. Delay-dependent robust passivity analysis for uncertain genetic regulatory networks with interval time-varying delays. In ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings. 2011. p. 193-198. 5899070. (ASCC 2011 - 8th Asian Control Conference - Final Program and Proceedings).