Robust guaranteed cost control for uncertain linear differential systems of neutral type

Applied Mathematics and Computation

Volumn 140, Issue 2-3, 2003, Pages 523-535

  Park, Ju H ^a  

^a Yeungnam University   (South Korea)

Author keywords

Lyapunov method; Matrix inequalities; Neutral systems; Robust guaranteed cost control

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; COSTS; LYAPUNOV METHODS; MATRIX ALGEBRA; UNCERTAIN SYSTEMS;

NEUTRAL SYSTEMS;

LINEAR SYSTEMS;

EID: 0037431578     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00250-3     Document Type: Article

References (21)

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. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics. 1992;Kluwer Academic Publishers, Boston.
4. Salamon D. Control and Observation of Neutral Systems. 1984;Pitman Advanced Publishing Program, Boston.
5. Brayton R.K., Willoughby R.A. On the numerical integration of a symmetric system of difference-differential equations of neutral type. Journal of Mathematical Analysis and Applications. 18:1967;182-189.
6. 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.
7. 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.
8. Li L.M. Stability of linear neutral delay-differential systems. Bulletin of Australian Mathematical Society. 38:1988;339-344.
9. Hu G.D., Hu G.D. Some simple stability criteria of neutral delay-differential systems. Applied Mathematics and Computation. 80:1996;257-271.
10. Park J.H., Won S. A note on stability of neutral delay-differential systems. Journal of the Franklin Institute. 336:1999;543-548.
11. Park J.H., Won S. Asymptotic stability of neutral systems with multiple delays. Journal of Optimization Theory and Applications. 103:1999;187-200.
12. Chukwu E.N. Stability and Time-Optimal Control of Hereditary Systems. 1992;Academic Press, New York.
13. Tarn T.J., Yang T., Zeng X., Guo C. Periodic output feedback stabilization of neutral systems. IEEE Transactions on Automatic Control. 41:1996;511-521.
14. Fiagbedzi Y.A. Feedback stabilization of neutral systems via the transformation technique. International Journal of Control. 59:1994;1579-1589.
15. Ma W.B., Adachi N., Amemiya T. Delay-independent stabilization of uncertain linear systems of neutral type. Journal of Optimization Theory and Application. 84:1995;393-405.
16. Chang S.S.L., Peng T.K.C. Adaptive guaranteed cost control of systems with uncertain parameters. IEEE Transaction on Automatic Control. 17:1972;474-483.
17. Petersen I.R., McFarlane D.C., Rotea M.A. Optimal guaranteed cost control of discrete-time uncertain linear systems. International Journal of Robust and Nonlinear Control. 8:1998;649-657.
18. Yu L., Chu J. An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica. 35:1999;1155-1159.
19. ∞ control theory IEEE Transaction on Automatic Control. 35:1990;356-361.
20. Boyd B., Ghaoui L.E., Feron E., Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory. 1994;SIAM, Philadelphia.
21. Gahinet P., Nemirovski A., Laub A., Chilali M. LMI Control Toolbox User's Guide. 1995;The Mathworks, Natick, MA.