Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

ASYMPTOTIC STABILITY OF LINEAR SYSTEM OF NEUTRAL TYPE WITH TIME-VARYING DELAY

  • Park, Ju-H. (School of Electrical Engineering and Computer Science, Yeungnam University)
  • Published : 2001.01.01

⟨ Previous Next ⟩

Abstract

In this paper, the problem of the stability analysis for a class of linear neutral systems with time-varying delay is investigated. Using the Lyapunov method, a delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs) is presented. The LMIs can be easily solved by various convex optimization algorithms.

Keywords

References

  1. Linear matrix inequalities in systems and control theory, Studies in Applied Mathematics v.15 S.Boyd;L.El Ghaoui;E.Feron;V.Balakrishnan
  2. J. Math. Analy. Appl. v.18 On the numerical integration of a symmetric system of difference-differential of neutral type R.K.Brayton;R.A.Willoughby
  3. Int. J. Sys. Sci. v.30 Comment on 'simple criteria for stability of neutral systems with multiple delays' W.Chen
  4. LMI Control Toolbox User's Guide P.Gahinet;A.Nemirovski;A.Laub;M.Chilali
  5. Stability and Oscillations in Delay Differential Equations of Poputation Dynamics K.Gopalsamy
  6. J. Math. Analy. Appl. v.105 Stability in linear delay equations J.Hale;E.F.Infante;F.S.P.Tsen
  7. Introduction to Functional Differential Equations J.Hale;S.M.Verduyn Lunel
  8. Appl. Math. Comput. v.80 Some simple stability criteria of neutral delay-differential systems G.Di Hu;D.Da Hu
  9. Int. J. Sys. Sci. v.28 Simple criteria for stability of neutral systems with multiple delays G.D.Hui;G.D.Hu
  10. Diff. Uravn v.24 Investigation of the stability of linear systems of neutral type by the Lyapunov function method D.Ya.Khusainov;E.V.Yun'kova
  11. Applied Theory of Functional Differential Equations V.Kolmanovskii;A.Myshkis
  12. BIT v.34 The asymptotic stability of one-parameter methods for neutral differential equations J.X.Kuang;J.X.Xiang;H.J.Tian
  13. Bull. Austral. Math. Soc. v.38 Stability of linear neutral delay-differential systems L.M.Li
  14. Ph.D.Thesis Robust Control of Time-Delay System using Linear Matrix Inequalities Y.S.Moon
  15. J. Frank. Inst. v.336 A note on stability of neutral delay-differential systems J.H.Park;S.Won
  16. J. Optim. Theory Appl. v.103 Asymptotic stability of neutral systems with multiple delays J.H.Park;S.Won