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Machine Intelligence Research

Erschienen in:

01.02.2013

A Stability Criterion for Singular Systems with Two Additive Time- varying Delay Components

verfasst von: Jian-Min Jiao

Erschienen in: Machine Intelligence Research | Ausgabe 1/2013

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Abstract

The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities (LMIs). Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results.

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[1]

K. Q. Gu, V. L. Kharitonov, J. Chen. Stability of Time-delay Systems, Boston, Massachusetts, USA: Birkhäused, 2003.CrossRef

[2]

M. Wu, Y. He, J. H. She. Stability Analysis and Robust Control of Time-delay Systems, Beijing, China: Science Press, 2010.CrossRefMATH

[3]

P. Park, J. W. Ko, C. Jeong. Reciprocally convex approach to stability of systems with time-varying delays. Automatica, vol. 47, no. 1, pp. 235–238, 2011.CrossRefMATHMathSciNet

[4]

J. Lam, H. J. Gao, C. H. Wang. Stability analysis for continuous systems with two additive time-varying delay components. System and Control Letters, vol. 56, no. 1, pp. 16–24, 2007.CrossRefMATHMathSciNet

[5]

H. J. Gao, T. W. Chen, J. Lam. A new delay system approach to network based control. Automatica, vol. 44, no. 1, pp. 39–52, 2008.CrossRefMATHMathSciNet

[6]

H. X. Wu, X. F. Liao, W. Feng, S. T. Guo, W. Zhang. Robust stability analysis of uncertain systems with two additive time-varying delay components. Applied Mathematical Modelling, vol. 33, no. 12, pp. 4345–4353, 2009.CrossRefMATHMathSciNet

[7]

B. B. Hamed, M. Chaabane, W. Kalem. Absolute stability of nonlinear systems with two additive time-varying delay components. International Journal of Automation and Computing, vol. 8, no. 4, pp. 391–402, 2011.CrossRef

[8]

H. Y. Shao, Z. Q. Zhang. Stability and stabilization for systems with two additive time-varying delay components. In Proceedings of the 30th Chinese Control Conference, IEEE, Yantai, China, pp. 1119–1124, 2011.

[9]

H. Y. Shao, Q. L. Han. New delay-dependent stability criteria for neural networks with two additive time-varying delay components. IEEE Transactions on Neural Networks, vol. 22, no. 5, pp. 812–818, 2011.CrossRefMathSciNet

[10]

J. K. Tian, S. M. Zhong. Improved delay-dependent stability criteria for neural networks with two additive time-varying delay components. Neurocomputing, vol. 77, no. 1, pp. 114–119, 2012.CrossRef

[11]

L. Dai. Singular Control Systems, Berlin, Germany: Springer-Verlag, 1989.CrossRefMATH

[12]

S. Y. Xu, P. Van Dooren, R. Stenfan, J. Lam. Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Transactions on Automatic Control, vol. 47, no. 7, pp. 1122–1128, 2002.CrossRef

[13]

E. K. Boukas. Delay-dependent robust stabilizability of singular linear systems with delays. Stochastic Analysis and Applications, vol. 27, no. 4, pp. 637–655, 2009.CrossRefMATHMathSciNet

[14]

J. H. Kim. Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays. International Journal of Control, Automation and Systems, vol.7, no. 3, pp. 357–364, 2009.CrossRef

[15]

X. Sun, Q. L. Zhang, C. Y. Yang, Z. Su, Y. Y. Shao. An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems. International Journal of Automation and Computing, vol.7, no. 2, pp. 205–212, 2010.CrossRef

[16]

J. X. Lin, S. M. Fei. Reliable control for a class of uncertain singular systems with interval time-varying delay. Asian Journal of Control, vol. 13, no. 4, pp. 542–552, 2011.CrossRefMATHMathSciNet

[17]

L. J. Zhang, J. M. Zhao. Delay-range-dependent robust stability and stabilization for uncertain singular systems. Sys tems Engineering and Electronics, vol. 33, no.8, pp. 1865–1870, 2011. (in Chinese)MATH

[18]

J. M. Jiao. Robust stability and stabilization of discrete singular systems with interval time-varying delay and linear fractional uncertainty. International Journal of Automation and Computing, vol. 9, no. 1, pp. 8–15, 2012.CrossRef

[19]

Y. Y. Cao, Y. X. Sun, C. W. Cheng. Delay-dependent robust stabilization of uncertain systems with multiple state delays. IEEE Transactions on Automatic Control, vol. 43, no. 11, pp. 1608–1612, 1998.CrossRefMATHMathSciNet

[20]

S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory, Philadelphia, USA: SIAM, 1994.CrossRefMATH

Titel: A Stability Criterion for Singular Systems with Two Additive Time- varying Delay Components
verfasst von: Jian-Min Jiao
Publikationsdatum: 01.02.2013
Verlag: Springer-Verlag
Erschienen in: Machine Intelligence Research / Ausgabe 1/2013
Print ISSN: 2731-538X
Elektronische ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-013-0694-0

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