Zhang, Z., Zhang, Z.X., Zhang, H., Shi, P. and Karimi, H.R. (2015) Finite-Time H_∞ Filtering for T-S Fuzzy Discrete-Time Systems with Time-Varying Delay and Norm-Bounded Uncertainties. IEEE Transactions on Fuzzy Systems, 23, 2427-2434.
https://doi.org/10.1109/TFUZZ.2015.2394380

has been cited by the following article:

• TITLE: Mode-Dependent Finite-Time H∞ Filtering for Stochastic Nonlinear Systems with Markovian Switching

  AUTHORS: Aiqing Zhang

  KEYWORDS: Stochastic Systems, H∞ Filter, Finite-Time Stability, Linear Matrix Inequalities (LMIS)

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.9, September 27, 2019

  ABSTRACT: This paper addresses the problem of finite-time H∞ filter design for a class of non-linear stochastic systems with Markovian switching. Based on stochastic differential equations theory, a mode-dependent finite-time H∞ filter is designed to ensure finite-time stochastic stablility (FTSS) of filtering error system and satisfies a prescribed H∞ performance level in some given finite-time intervals. Moreover, sufficient conditions are presented for the existence of a finite-time H∞ filter for the stochastic system under consideration by employing the linear matrix inequality technique. Finally, the explicit expression of the desired filter parameters is given.