Asymptotic stability of neutral systems with multiple delays

Journal of Optimization Theory and Applications

Volumn 103, Issue 1, 1999, Pages 183-200

  Park, J H ^a   Won, S ^a  

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

Author keywords

Asymptotic stability; Linear matrix inequalities; Multiple time delays; Neutral systems

Indexed keywords

ASYMPTOTIC STABILITY; CONVEX OPTIMIZATION; LYAPUNOV METHODS; NUMERICAL METHODS; TIME DELAY;

ANALYSIS PROBLEMS; CONDITION; CONVEX OPTIMIZATION ALGORITHMS; LINEAR MATRIX IN EQUALITIES; LINEAR NEUTRAL DELAY-DIFFERENTIAL SYSTEMS; LYAPUNOV'S METHODS; MULTIPLE DELAYS; MULTIPLE TIME-DELAYS; NEUTRAL SYSTEMS; STABILITY ANALYZE;

LINEAR MATRIX INEQUALITIES;

EID: 0033246203     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021781602182     Document Type: Article

References (13)

1. KOLMANOVSKII, V., and MYSHKIS, A., Applied Theory of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, Holland, 1992.
2. HALE, J., and VERDUYN LUNEL, S. M., Introduction to Functional Differential Equations, Springer Verlag, New York, New York, 1993.
3. GOPALSAMY, K., Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic Publishers, Boston, Massachusetts, 1992.
4. KUANG, J. X., XIANG, J. X., and TIAN, H. J., The Asymptotic Stability of One-Parameter Methods for Neutral Differential Equations, BIT, Vol. 34, pp. 400-408, 1994.
5. Li, L. M., Stability of Linear Neutral Delay-Differential Systems, Bulletin of the Australian Mathematical Society, Vol. 38, pp. 339-344, 1988.
6. HUI, G. D., and Hu, G. D., Some Simple Stability Criteria of Neutral Delay-Differential Systems, Applied Mathematics and Computation, Vol. 80, pp. 257-271, 1996.
7. BRAYTON, R. K., and WILLOUGHBY, R. A., On the Numerical Integration of a Symmetric System of Difference-Differential Equations of Neutral Type, Journal of Mathematical Analysis and Applications, Vol. 18, pp. 182-189, 1967.
8. KHUSAINOV, D. YA, and YUNKOVA, E. V., Investigation of the Stability of Linear Systems of Neutral Type by the Lyapunov Function Method, Differentsialnye Uravneniya, Vol. 24, pp. 613-621, 1988.
9. HALE, J. K., INFANTE, E. F., and TSEN, F. S. P., Stability of Linear Delay Equations, Journal of Mathematical Analysis and Applications, Vol. 105, pp. 533-555, 1985.
10. HUI, G. D. and HU, G. D., Simple Criteria for Stability of Neutral Systems with Multiple Delays, International Journal of Systems Science, Vol. 28, pp. 1325-1328, 1997.
11. BOYD, S., EL GHAOUI, L., FERON, E., and BALAKRISHNAN, V., Linear Matrix Inequalities in Systems and Control Theory, Studies in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, Vol. 15, 1994.
12. KHARGONEKAR, P. P., PETERSEN, I. R., and ZHOU, K., Robust Stabilization of Uncertain Linear Systems: Quadratic Stability and H∞-Control Theory, IEEE Transactions on Automatic Control, Vol. 35, pp. 356-361, 1990.
13. ALVERT, A., Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses, SIAM Journal on Applied Mathematics, Vol. 17, pp. 434-440, 1969.