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Original Articles

Input-to-state stable nonlinear filtering for a class of continuous-time delayed nonlinear systems

Pages 1179-1185 | Received 14 Sep 2012, Accepted 15 Mar 2013, Published online: 30 Apr 2013

References

  • Ahn, C. K. (2010). Delay-dependent state estimation for T-S fuzzy delayed Hopfield neural networks. Nonlinear Dynamics, 61, 483–489.
  • Ahn, C. K. (2011). Exponentially convergent state estimation for delayed switched recurrent neural networks. European Physical Journal E, 34, 122.
  • Ahn, C. K. (2012a). Linear matrix inequality optimization approach to exponential robust filtering for switched Hopfield neural networks. Journal of Optimization Theory and Applications, 154, 573–587.
  • Ahn, C. K. (2012b). Switched exponential state estimation of neural networks based on passivity theory. Nonlinear Dynamics, 67, 573–586.
  • Ahn, C. K. (in press). Passive and exponential filter design for fuzzy neural networks. Information Sciences. doi:10.1016/j.ins.2013.03.004
  • Ahn, C. K., & Song, M. K. (2011). L2 − L∞ filtering for time-delayed switched Hopfield neural networks. International Journal of Innovative Computing, Information and Control, 7, 1831–1844.
  • Angeli, D., Ingalls, B., Sontag, E., & Wang, Y. (2004). Separation principles for input-output and integral-input-to-state stability. SIAM Journal on Control and Optimization, 43, 256–276.
  • Boyd, S., Ghaoui, L. E., Feron, E., & Balakrishinan, V. (1994). Linear matrix inequalities in systems and control theory. Philadelphia, PA: SIAM.
  • Cai, C., & Teel, A. (2007). Asymptotic characterizations of input/output-to-state stability for discrete-time systems. Systems & Control Letters, 56, 408–415.
  • Cai, C., & Teel, A. (2008). Input-output-to-state stability for discrete-time systems. Automatica, 44, 326–336.
  • Christofides, P., & Teel, A. (1996). Singular perturbations and input-to-state stability. IEEE Transactions on Automatic Control, 41, 1645–1650.
  • Daum, F. (2005). Nonlinear filters: Beyond the Kalman filter. IEEE Aerospace and Electronic Systems Magazine, 20, 57–69.
  • Fleming, W. H., & McEneaney, W. M. (2000). A max-plus-based algorithm for a Hamilton-Jacobi-Bellman equation of nonlinear filtering. SIAM Journal on Control and Optimization, 38, 683–710.
  • Gahinet, P., Nemirovski, A., Laub, A. J., & Chilali, M. (1995). LMI control toolbox. Natick, MA: The Mathworks Inc.
  • Gelb, A. (1974). Applied optimal estimation. Cambridge: Cambridge University Press.
  • Gu, K., Kharitonov, V., & Chen, J. (2003). Stability of time-delay systems. Boston: Birkhauser.
  • Huang, R., Patwardhan, S., & Biegler, L. (2010). Stability of a class of discrete-time nonlinear recursive observers. Journal of Process Control, 20, 1150–1160.
  • Jiang, Z., Teel, A., & Praly, L. (1994). Small-gain theorem for ISS systems and applications. Mathematics of Control, Signals and Systems, 7, 95–120.
  • Krichman, M., Sontag, E., & Wang, Y. (2001). Input-output-to-state stability. SIAM Journal on Control and Optimization, 39, 1874–1928.
  • Liu, B., & Hill, D. (2009). Input-to-state stability for discrete time-delay systems via the Razumikhin technique. Systems & Control Letters, 58, 567–575.
  • Mahmoud, M. S., Al-Muthairi, N. F., & Bingulac, S. (1999). Robust Kalman filtering for continuous time-lag systems. Systems & Control Letters, 38, 309–319.
  • Niculescu, S., Verriest, E., Dugard, L., & Dion, J.D. (1998). Stability and robust stability of time-delay systems: A guided tour. In L. Dugard and E. I. Verriest (Eds.), Stability and control of time-delay systems, Vol. 228 of Lecture Notes in Control and Information Sciences (pp. 1–71). Berlin: Springer.
  • Patwardhana, S., Narasimhanb, S., Jagadeesanc, P., Gopalunid, B., & Shahe, S. (2012). Nonlinear Bayesian state estimation: A review of recent developments. Control Engineering Practice, 20, 933–953.
  • Pepe, P., & Jiang, Z. (2006). A Lyapunov–Krasovskii methodology for ISS and iISS of time-delay systems. Systems & Control Letters, 55, 1006–1014.
  • Reif, K., & Unbehauen, R. (1999). The extended Kalman filter as an exponential observer for nonlinear systems. IEEE Transactions on Signal Processing, 47, 2324–2328.
  • Sontag, E. (1989). Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control, 34, 435–443.
  • Sontag, E. (1990). Further facts about input to state stabilization. IEEE Transactions on Automatic Control, 35, 473–476.
  • Sontag, E. (1998). Comments on integral variants of ISS. Systems & Control Letters, 34, 93–100.
  • Sontag, E., & Wang, Y. (1997). Output-to-state stability and detectability of nonlinear systems. Systems & Control Letters, 29, 279–290.
  • Tarn, T., & Rasis, Y. (1976). Observers for nonlinear stochastic systems. IEEE Transactions on Acoustics, Speech and Signal Processing, 21, 441–448.
  • Wang, Z., & Burnham, K. J. (2001). Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation. IEEE Transactions on Signal Processing, 49, 794–804.
  • Wang, Z., & Yang, F. (2002). Robust filtering for uncertain linear systems with delayed states and outputs. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49, 125–130.
  • Xie, W., Wen, C., & Li, Z. (2001). Input-to-state stabilization of switched nonlinear systems. IEEE Transactions on Automatic Control, 46, 1111–1116.
  • Yaz, E., & Azemi, A. (1993). Observer design for discrete and continuous nonlinear stochastic systems. International Journal of Systems Science, 24, 2289–2302.

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