LMI approach to robust ℋ∞ filtering for neutral delay differential systems

Applied Mathematics and Computation

Volumn 150, Issue 1, 2004, Pages 235-244

  Park, Ju H ^a   Kwon, O ^b   Won, S ^b  

^a Yeungnam University   (South Korea)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

filtering; Linear matrix inequalities; Lyapunov theory; Neutral systems

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; ELECTRIC LINES; ELECTRIC POTENTIAL; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; STABILIZATION;

LINEAR MATRIX INEQUALITY; NEUTRAL DELAY DIFFERENTIAL SYSTEMS;

LINEAR SYSTEMS;

EID: 0942266748     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00223-6     Document Type: Article

References (16)

1. Hale J., Verduyn Lunel S.M. Introduction to Functional Differential Equations. 1993;Springer-Verlag, New York.
2. Kolmanovskii V., Myshkis A. Applied Theory of Functional Differential Equations. 1992;Kluwer Academic Publishers, Dordrecht.
3. Salamon D. Control and Observation of Neutral Systems. 1984;Pitman Advanced Publishing Program, Boston, MA.
4. Khusainov D.Y., Yun'kova E.V. Investigation of the stability of linear systems of neutral type by the Lyapunov function method. Differentsialnye Uravneniya. 24:1988;613-621.
5. Kuang J.X., Xiang J.X., Tian H.J. The asymptotic stability of one-parameter methods for neutral differential equations. BIT. 34:1994;400-408.
6. Li L.M. Stability of linear neutral delay-differential systems. Bulletin of Australian Mathematical Society. 38:1988;339-344.
7. Hu G.D., Hu G.D. Some simple stability criteria of neutral delay-differential systems. Applied Mathematics and Computation. 80:1996;257-271.
8. Park J.H., Won S. A note on stability of neutral delay-differential systems. Journal of The Franklin Institute. 336:1999;543-548.
9. Park J.H., Won S. Asymptotic stability of neutral systems with multiple delays. Journal of Optimization Theory and Applications. 103:1999;187-200.
10. Kim J.H. Robust guaranteed cost filtering for uncertain systems with time-varying delay via LMI approach. Transactions on Control, Automation, and Systems Engineering. 3:2001;27-31.
11. ∞ -filtering Journal of Mathematical Analysis and Applications. 269:2002;369-381.
12. ∞ filtering for uncertain discrete-time state-delayed systems IEEE Transactions on Signal Processing. 49:2001;1696-1703.
13. Yue D., Won S., Kwon O. Delay-dependent stability of neutral systems with time delay: an LMI approach. IEE Proceedings - Control Theory and Applications. 150:2003;23-27.
14. Boyd B., Ghaoui L.E., Feron E., Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. 1994;SIAM, Philadelphia, PA.
15. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of 39th IEEE CDC Sydney, Australia, 2000, pp. 2805-2810.
16. Gahinet P., Nemirovski A., Laub A., Chilali M. LMI Control Toolbox User's Guide. 1995;The Mathworks, Natick, Massachusetts.