Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays

Systems and Control Letters

Volumn 51, Issue 1, 2004, Pages 57-65

  He, Yong ^a   Wu, Min ^a   She, Jin Hua ^b   Liu, Guo Ping ^c,d  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b TOKYO UNIVERSITY OF TECHNOLOGY   (Japan)

^c UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^d INSTITUTE OF AUTOMATION   (China)

Author keywords

Delay dependent criteria; Linear matrix inequality; Neutral system; Robust stability; Time varying structured uncertainties

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS);

LINEAR MATRIX INEQUALITY;

UNCERTAIN SYSTEMS;

EID: 0242659944     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(03)00207-X     Document Type: Article

References (25)

1. Boyd S., Ghaoui E.L., Feron E., Balakrishnan V. Linear Matrix Inequality in System and Control Theory, Studies in Applied Mathematics. 1994;SIAM, Philadelphia.
2. Chen J. On computing the maximal delay intervals for stability of linear delay systems. IEEE Trans. Automat. Control. 40:1995;1087-1093.
3. Chen J.D., Lien C.H., Fan K.K., Chou J.H. Criteria for asymptotic stability of a class of neutral systems via a LMI approach. IEE Proc. Control Theory Appl. 148:2001;442-447.
4. Curtain R.F., Zwart H.J. An Introduction to Infinite-Dimensional Linear Systems Theory. Texts in Applied Mathematics. Vol. 21:1995;Springer, Berlin.
5. Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems. Systems Control Lett. 43:2001;309-319.
6. Hale J.K. Theory of Functional Differential Equations. 1977;Springer, New York.
7. Hale J.K., Infante E.F., Tesn F.P. Stability in linear delay equations. J. Math. Anal. Appl. 105:1985;533-555.
8. Han Q.L. On delay-dependent stability for neutral delay-differential systems. Internat. J. Appl. Math. Comput. Sci. 11:2001;965-976.
9. Han Q.L. Robust stability of uncertain delay-differential systems of neutral type. Automatica. 38:2002;719-723.
10. Hara S., Yamamoto Y., Omata T., Nakano M. Repetitive control system. a new type servo system for periodic exogenous signals IEEE Trans. Automat. Control. 33:1988;659-668.
11. Hu G.D., Hu G.D. Some simple stability criteria of neutral delay-differential systems. Appl. Math. Comput. 80:1996;257-271.
12. Hui G.D., Hu G.D. Simple criteria for stability of neutral systems with multiple delays. Internat. J. Systems Sci. 28:1997;1325-1328.
13. Ivǎnescu D., Niculescu S.I., Dugard L., Dion J.M., Verriest E.I. On delay-dependent stability for linear neutral systems. Automatica. 39:2003;255-261.
14. Kolmanovskii V.B., Myshkis A. Applied Theory of Functional Differential Equations. 1992;Kluwer Academic Publishers, Boston.
15. Kolmanovskii V.B., Nosov V.R. Stability of Functional Differential Equations. 1986;Academic Press, London.
16. Kuang Y. Delay Differential Equations with Applications in Population Dynamics. 1993;Academic Press, Boston.
17. Lien C.H. New stability criterion for a class of uncertain nonlinear neutral time-delay systems. Internat. J. Systems Sci. 32:2001;215-219.
18. Lien C.H., Yu K.W., Hsieh J.G. Stability conditions for a class of neutral systems with multiple delays. J. Math. Anal. Appl. 245:2000;20-27.
19. ∞ control of linear neutral systems Automatica. 36:2000;757-764.
20. Niculescu S.I. Delay Effects on Stability: A Robust Control Approach. 2001;Springer, Berlin.
21. Niculescu S.I. On delay-dependent stability under model transformations of some neutral linear systems. Internat. J. Control. 74:2001;609-617.
22. Park J.H. A new delay-dependent criterion for neutral systems with multiple delays. J. Comput. Appl. Math. 136:2001;177-184.
23. Park J.H. Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments. Math. Comput. Simulation. 59:2002;401-412.
24. Park P. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Trans. Automat. Control. 44:1999;876-877.
25. ∞ control of systems with parameter uncertainty Internat. J. Control. 63:1996;75-741.