Robust H filtering for discrete nonlinear stochastic systems with time-varying delay

Journal of Mathematical Analysis and Applications - Tập 341 - Trang 318-336 - 2008
Yurong Liu1, Zidong Wang2, Xiaohui Liu2
1Department of Mathematics, Yangzhou University, Yangzhou 225002, PR China
2Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom

Tài liệu tham khảo

Anderson, 1979 Boukas, 2002 Elanayar, 1994, Radial basis function neural network for approximation and estimation of nonlinear stochastic dynamic systems, IEEE Trans. Neural Networks, 5, 594, 10.1109/72.298229 Fleming, 2000, A max-plus-based algorithm for a Hamilton–Jacobi–Bellman equation of nonlinear filtering, SIAM J. Control Optim., 38, 683, 10.1137/S0363012998332433 Gelb, 1974 Feng, 2005, Robust filtering design of piecewise discrete time linear systems, IEEE Trans. Signal Process., 53, 599, 10.1109/TSP.2004.840790 Gao, 2005, Induced l2 and generalized H2 filtering for systems with repeated scalar nonlinearities, IEEE Trans. Signal Process., 53, 4215, 10.1109/TSP.2005.857009 Gao, 2006, Robust energy-to-peak filter design for stochastic time-delay systems, Systems Control Lett., 55, 101, 10.1016/j.sysconle.2005.05.005 Gao, 2004, Delay-dependent output–feedback stabilization of discrete-time systems with time-varying state delay, IEE Proc. Control Theory Appl., 151, 691, 10.1049/ip-cta:20040822 Gao, 2004, Robust H∞ filtering for discrete stochastic time-delay systems with nonlinear disturbances, Nonlinear Dyn. Syst. Theory, 4, 285 Gershon, 2001, Robust H∞ filtering for stationary continuous-time linear systems with stochastic uncertainties, IEEE Trans. Automat. Control, 46, 1788, 10.1109/9.964692 Han, 2005, Absolute stability of time-delay systems with sector-bounded nonlinearity, Automatica, 41, 2171, 10.1016/j.automatica.2005.08.005 Khalil, 1996 Kim, 1999, A state-space approach to analysis of almost periodic nonlinear systems with sector nonlinearities, IEEE Trans. Automat. Control, 44, 66, 10.1109/9.739070 Lam, 2005, H∞ and L2/L∞ infinity model reduction for system input with sector nonlinearities, J. Optim. Theory Appl., 125, 137, 10.1007/s10957-004-1714-6 Nguang, 2000, Nonlinear H∞ filtering of sampled-data systems, Automatica, 36, 303, 10.1016/S0005-1098(99)00141-7 Nguang, 2001, H∞ filtering design for uncertain nonlinear systems under sampled measurements, Internat. J. Systems Sci., 32, 889 Palhares, 2001, LMI approach to the mixed H2/H∞ filtering design for discrete-time uncertain systems, IEEE Trans. Aerospace Electron. Syst., 37, 292, 10.1109/7.913689 Shi, 1997, Robust filtering for uncertain delay systems under sampled measurements, Signal Process., 58, 131, 10.1016/S0165-1684(97)00019-4 Shi, 2006, Robust filtering for jumping systems with mode-dependent delays, Signal Process., 86, 140, 10.1016/j.sigpro.2005.05.005 Tarn, 1976, Observers for nonlinear stochastic systems, IEEE Trans. Automat. Control, 21, 441, 10.1109/TAC.1976.1101300 Wang, 2001, Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation, IEEE Trans. Signal Process., 49, 794, 10.1109/78.912924 Wang, 2003, Filtering on nonlinear time-delay stochastic systems, Automatica, 39, 101, 10.1016/S0005-1098(02)00178-4 Wang, 2003, Nonlinear filtering for state delayed systems with Markovian switching, IEEE Trans. Signal Process., 51, 2321, 10.1109/TSP.2003.815373 Wang, 2003, Variance-constrained filtering for uncertain stochastic systems with missing measurements, IEEE Trans. Automat. Control, 48, 1254, 10.1109/TAC.2003.814272 Xie, 1994, Robust Kalman filtering for uncertain discrete-time systems, IEEE Trans. Automat. Control, 39, 1310, 10.1109/9.293203 Xie, 2004, Improved robust H2 and H∞ filtering for uncertain discrete-time systems, Automatica, 40, 873, 10.1016/j.automatica.2004.01.003 Xu, 2002, Reduced-order H∞ filtering for stochastic systems, IEEE Trans. Signal Process., 50, 2998, 10.1109/TSP.2002.805239 Yuan, 2004, Robust stability and controllability of stochastic differential delay equations with Markovian switching, Automatica, 40, 343, 10.1016/j.automatica.2003.10.012 Zhang, 2005, Robust H∞ filtering for nonlinear stochastic systems, IEEE Trans. Signal Process., 53, 589, 10.1109/TSP.2004.840724 Zhu, 2002, Robust Kalman filters design for discrete time-delay systems, Circuits Systems Signal Process., 21, 319, 10.1007/s00034-004-7047-8