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Stability of a Class of Neutral Time-Delay Systems with a Robust Control

by Saloua Bel Hadj Ali, Aicha Elhsoumi, Rafika Elharabi, Mohamed Naceur Abdelkrim
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 46 - Number 17
Year of Publication: 2012
Authors: Saloua Bel Hadj Ali, Aicha Elhsoumi, Rafika Elharabi, Mohamed Naceur Abdelkrim
10.5120/7006-8860

Saloua Bel Hadj Ali, Aicha Elhsoumi, Rafika Elharabi, Mohamed Naceur Abdelkrim . Stability of a Class of Neutral Time-Delay Systems with a Robust Control. International Journal of Computer Applications. 46, 17 ( May 2012), 1-6. DOI=10.5120/7006-8860

@article{ 10.5120/7006-8860,
author = { Saloua Bel Hadj Ali, Aicha Elhsoumi, Rafika Elharabi, Mohamed Naceur Abdelkrim },
title = { Stability of a Class of Neutral Time-Delay Systems with a Robust Control },
journal = { International Journal of Computer Applications },
issue_date = { May 2012 },
volume = { 46 },
number = { 17 },
month = { May },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume46/number17/7006-8860/ },
doi = { 10.5120/7006-8860 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:39:57.866990+05:30
%A Saloua Bel Hadj Ali
%A Aicha Elhsoumi
%A Rafika Elharabi
%A Mohamed Naceur Abdelkrim
%T Stability of a Class of Neutral Time-Delay Systems with a Robust Control
%J International Journal of Computer Applications
%@ 0975-8887
%V 46
%N 17
%P 1-6
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deal with the stability problem of neutral time-delay systems. Based on the Lyapunov-Krasovskii functional theory, new theorems are proposed for a type of neutral delay systems with robust time-delay control. New delay-dependent stability conditions are developed for the system without time-delay control in first time and with time-delay control in second time. Linear matrix inequality approaches are used to solve the stability problem in these cases. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results.

References
  1. V. Kharitonov, J. Collado, and S. Mondié , "Exponential estimates for neutral time delay systems with multiple delays", International Journal of Robust and Nonlinear Control, vol. 16, pp. 71–84, 2006.
  2. S. A. Rodriguez, V. Kharitonov, J. -M. Dion and L. Dugard, "Robust stability of neutral systems: a Lyapunov–Krasovskii constructive approach", International Journal of Robust and Nonlinear Control, vol. 14, pp. 1345–1358, 2004.
  3. J. D. Chen, "LMI-Based Robust H? Control of Uncertain Neutral Systems with State and Input Delays", Journal of optimization theory and applications, vol. 126, no. 3, pp. 553–570, 2005.
  4. C. H. Lien, "Stability and Stabilization Criteria for a Class of Uncertain Neutral Systems with Time-Varying Delays", Journal of optimization theory and applications, vol. 124, no. 3, pp. 637–657, 2005.
  5. J. H. Park and S. Won, "Asymptotic Stability of Neutral Systems with Multiple Delays". Journal of Optimization Theory and Applications: Vol. 103, No. 1, pp. 183-200, 1999.
  6. J. Sun, G. P. Liu and J. Chen, "Delay-dependent stability and stabilization of neutral time-delay systems", International Journal of Robust and Nonlinear Control, 2008.
  7. J. H. Park, "Delay-Dependent Criterion for Guaranteed Cost Control of Neutral Delay Systems". Journal of Optimization Theory and Applications: Vol. 124, No. 2, pp. 491–502, 2005.
  8. S. Xu, J. Lam and C. Yang, "H? and Positive-Real Control for Linear Neutral Delay Systems". IEEE Transactions on Automatic Control, Vol. 46, No. 8, 2001.
  9. Wang H. , Zhang Y. , Dong X. and Liang J. , 2008. H? dynamic output-feedback control for a class of linear neutral delay systems. In Proceeding 2008 Chinese Control and Decision Conference (CCDC 2008), 2008 IEEE, pp. 4117- 4121.
  10. Zhang Y. , Liu M. , Wang C. and Sun W. , 2008. Delay-dependent H? control of linear neutral delay systems. In Proceeding 2008 Chinese Control and Decision Conference (CCDC 2008), pp 4680-4685, 2008.
  11. C. L. Yu and L. L. Chun, "Optimal control approach for robust control design of neutral systems", Optimal Control Applications and Methods, pp : 87–102, 2009.
  12. M. Darouach. "Reduced-order observer for linear neutral delay systems", IEEE Transactions on Automatic Control, 50(9), pp 1407-1413, 2005.
  13. Wang H. , Zhang Y. , Dong X, Liang J. , 2008. H? dynamic output-feedback control for a class of linear neutral delay systems. In Proceeding 2008 Chinese Control and Decision Conference (CCDC 2008), 2008 IEEE, pp. 4117-4121.
  14. J. D. Chen, "LMI Approach to Robust Delay-Dependent Mixed H2/H? Controller of Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays", Journal of optimization theory and applications, Vol. 131, No. 3, pp. 383–403, 2006.
  15. K. K. Fun, C. H. Lien and J. G. Hsieh, "Asymptotic Stability for a Class of Neutral Systems with Discrete and Distributed Time Delays", Journal of Optimization Theory and Applications, Vol. 114, No. 3, pp. 705–716, 2002.
  16. Zhang Y. , Liu M. , Wang C. , Sun W. , 2008. Delay-dependent H? control of linear neutral delay systems. In Proceeding 2008 Chinese Control and Decision Conference (CCDC 2008), 2008 IEEE, pp. 4680-4685.
  17. Xin L. , Zhaochun W. , YOU Z. et Jiacheng L. , 2008. Delay-dependent Observer Design and Observer-based Stabilization of Linear Neutral Delay System. In Proceeding 2008 Chinese Control and Decision Conference (CCDC 2008), 2008 IEEE, pp 4133-4138.
Index Terms

Computer Science
Information Sciences

Keywords

Neutral Time-delay Systems Stability Analysis Robust Time- Delay Control Linear Matrix Inequality (lmi).

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