Browse > Article
http://dx.doi.org/10.5370/KIEE.2010.59.12.2284

Improved Stability Criteria for Linear Systems with Time-varying Delay  

Kwon, Oh-Min (충북대학교 전기공학부)
Park, Ju-Hyun (영남대학교 전기공학과)
Lee, Sang-Moon (대구대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.59, no.12, 2010 , pp. 2284-2291 More about this Journal
Abstract
In this paper, improved stability criteria for linear systems with time-varying delays are proposed. By constructing a new Lyapunov functional, novel stability criteria are established in terms of linear matrix inequalities (LMIs). Two numerical examples are carried out to support the effectiveness of the proposed method.
Keywords
Time-varying delays; linear systems; Lyapunov method; LMI;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 0
연도 인용수 순위
1 J. Sun, G.P. Liu, J. Chen, Further results on stability criteria for linear systems with time-varying delay, 2008 IEEE International Conference on Systems, Man and Control (SMC 2008), pp.2736-2740
2 S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, SIAM, 1994.
3 R.E. Skelton, T. Iwasaki, and K.M. Grigoradis, A unified algebraic approach to linear control design, New York, Talyor and Francis, 1997.
4 J.-P. Richard, TIme-delay systems: an overview of some recent advances and open problems, Automatica, vol.39, pp.1667-1694, 2003.   DOI   ScienceOn
5 W.Qian, S. Cong, Y. Sun, and S. Fei, Novel robust stability criteria for uncertain systems with time-varying delay, Applied Mathematics and Computation, vol.215, pp.866-872, 2009.   DOI   ScienceOn
6 O.M. Kwon, and J.H. Park, "An improved delay-dependent robust control for uncertain time-delay systems", IEEE Transactions on Automatic Control, vol. 49, No. 11, pp.1991-1995, 2004.   DOI   ScienceOn
7 M.J. Park, O.M. Kwon, J.H. Park, and S.M. Lee, New delay-dependent stability criterion for neural networks with discrete and distributed time-varying delays, Trans. KIEE, vol.58, no.6, pp.1809-1814   과학기술학회마을
8 Y. He, Q.-G. Wang, L. Xie, and C. Lin, Further improvemet of free-weighting matrices technique for systems with time-varyig delay, IEEE Transactions on Automatic Control, vol.52, no.2, pp.293-299, 2007.   DOI
9 S. Xu, and J. Lam, A survey of linear matrix inequality techniques in stability analysis of delay systems, International Journal of Systems Sciences, 39, pp.1095-1113, 2008.   DOI   ScienceOn
10 J.-H. Kim, Y.-G. Yi, "Delay-dependent robust stability of uncertain time-delayed linear systems", Trans. KIEE, 55D, pp.147-156, 2006.   과학기술학회마을
11 V.B. Kolmanovskii, and A. Myshkis, Applied Theory to Functional Differential Equations, Kluwer Academic Publishers, Boston, 1992.
12 Hale, and S.M.V. Lunel, Introduction to Functional Differential Equatins, Springer-Verlag, New York, 1993.
13 J.-H. Kim, "Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty", IEEE Transactions on Automatic Control, vol.46, pp.789-792, 2001.