On H∞ filtering for a class of uncertain nonlinear neutral systems

Circuits, Systems, and Signal Processing

Volumn 23, Issue 3, 2004, Pages 215-230

  Xu, Shengyuan ^a   Lam, James ^b  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

H filtering; Linear matrix inequality; Neutral systems; Nonlinear systems; Robust filtering; Uncertain systems

Indexed keywords

CONTROL SYSTEM SYNTHESIS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY; ROBUST FILTERING; UNCERTAIN NONLINEAR NEUTRAL SYSTEMS;

SIGNAL FILTERING AND PREDICTION;

EID: 2942679224     PISSN: 0278081X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00034-004-7017-1     Document Type: Article

References (26)

1. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, SIAM, PA, PA, 1994.
2. R. K. Brayton, Bifurcation of periodic solutions in a nonlinear difference-differential equation of neutral type. Quart. Appl. Math., 24:215-224, 1996.
3. ∞ filter design for uncertain linear systems with multiple time-varying state delays, IEEE Trans. Signal Process., 49:569-576, 2001.
4. ∞ filtering for a class of uncertain nonlinear systems, Systems Control Lett., 20:419-426, 1993.
5. ∞ observer design for time-delay systems, in Proc. 37th IEEE Conf. Decision and Control, pp. 4545-4546, Tampa, FL, Dec. 1998.
6. ∞ filter design for linear time delay systems, IEEE Trans. Signal Process., 49: 2839-2843, 2001.
7. J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New York, 1977.
8. ∞-output feedback controller design for linear systems with time-varying delayed state, IEEE Trans. Automat. Control, 43:971-974, 1998.
9. V. B. Kolmanovskii and A. D. Myshkis, Applied Theory of Functional Differential Equations. Kluwer Academic Publishers, Dordrecht, 1992.
10. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, Math. in Sci. Eng., 191, Academic Press, San Diego, CA, 1993.
11. ∞ setting. IEEE Trans. Automat. Control, 36:152-166, 1991.
12. S.-I. Niculescu, Delay Effects on Stability: A Robust Control Approach, Springer, Berlin. 2001.
13. ∞ filtering for continuous-time linear systems with delay, IEEE Trans. Automat. Control, 44:1412-1417, 1999.
14. R. Rajamani, Observers for Lipschitz nonlinear systems, IEEE Trans. Automat. Control, 43:397-401, 1998.
15. R. Rajamani and Y. M. Cho, Existence and design of observers for nonlinear systems: Relation to distance to unobservability, Internet. J. Control, 69:717-731, 1998.
16. ∞ minimum error state estimation of linear stationary processes, IEEE Trans. Automat. Control, 35:554-558, 1990.
17. ∞-optimal estimation: A tutorial. in Proc. 31st IEEE Conf. Decision and Control, pp. 2278-2286, Tucson, AZ, Dec. 1992.
18. L. Xie and C. E. de Souza, On robust filtering for linear systems with parameter uncertainty, in Proc. 34th IEEE Conf. Decision and Control, pp. 2087-2092, New Orleans, LA, Dec. 1995.
19. ∞ approach, Internet. J. Robust Nonlinear Control, 6:297-312, 1996.
20. ∞ filtering for a class of discrete-time uncertain nonlinear systems with state delay, IEEE Trans. Circuits and Systems. Part I, 49:1853-1859, 2002.
21. ∞ filtering for uncertain impulsive stochastic systems under sampled measurements, Automatica, 39:509-516, 2003.
22. S. Xu and J. Lam, Positive real control for uncertain discrete singular systems with state delay. Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, 9:387-402, 2002.
23. S. Xu and J. Lam, Robust stability for uncertain discrete singular systems with state delay, Asian J. Control, 5:399-405, 2003.
24. ∞ and positive real control for linear neutral delay systems, IEEE Trans. Automat. Control, 46:1321-1326, 2001.
25. S. Xu, J. Lam, C. Yang, and E. I. Verriest, An LMI approach to guaranteed cost control for uncertain linear neutral delay systems, Internet. J. Robust Nonlinear Control, 13:35-53, 2003.
26. ∞ filtering for a class of non-linear systems with state delay and parameter uncertainty, Internet. J. Control, 75:766-774, 2002.