전기학회논문지 (The Transactions of The Korean Institute of Electrical Engineers)

  • 제59권12호
  • /
  • Pages.2284-2291
  • /
  • 2010
  • /
  • 1975-8359(pISSN)
  • /
  • 2287-4364(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지
DOI QR코드

DOI QR Code

시변 지연이 존재하는 선형시스템의 개선된 안정성 판별법

Improved Stability Criteria for Linear Systems with Time-varying Delay

  • 권오민 (충북대학교 전기공학부) ;
  • 박주현 (영남대학교 전기공학과) ;
  • 이상문 (대구대학교 전자공학부)
  • 투고 : 2010.08.09
  • 심사 : 2010.11.15
  • 발행 : 2010.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Hale, and S.M.V. Lunel, Introduction to Functional Differential Equatins, Springer-Verlag, New York, 1993.
  2. V.B. Kolmanovskii, and A. Myshkis, Applied Theory to Functional Differential Equations, Kluwer Academic Publishers, Boston, 1992.
  3. 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.
  4. J.-P. Richard, TIme-delay systems: an overview of some recent advances and open problems, Automatica, vol.39, pp.1667-1694, 2003. https://doi.org/10.1016/S0005-1098(03)00167-5
  5. 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. https://doi.org/10.1080/00207720802300370
  6. J.-H. Kim, Y.-G. Yi, "Delay-dependent robust stability of uncertain time-delayed linear systems", Trans. KIEE, 55D, pp.147-156, 2006.
  7. 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. https://doi.org/10.1109/TAC.2004.837563
  8. 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
  9. 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. https://doi.org/10.1109/TAC.2006.887907
  10. 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. https://doi.org/10.1016/j.amc.2009.06.022
  11. 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
  12. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, SIAM, 1994.
  13. R.E. Skelton, T. Iwasaki, and K.M. Grigoradis, A unified algebraic approach to linear control design, New York, Talyor and Francis, 1997.