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Xu, S. and Chen, T. (2002) Robust Control for Uncertain Stochastic Systems with State Delay. IEEE Transactions on Automatic Control, 47, 2089-2094.
http://dx.doi.org/10.1109/TAC.2002.805670

has been cited by the following article:

• TITLE: Robust Finite-Time H∞ Filtering for Itô Stochastic Systems

  AUTHORS: Aiqing Zhang

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.9, September 20, 2016

  ABSTRACT: This paper investigates the problem of robust finite-time H∞ filter design for Itô stochastic systems. Based on linear matrix inequalities (LMIS) techniques and stability theory of stochastic differential equations, stochastic Lyapunov function method is adopted to design a finite-time H∞ filter such that, for all admissible uncertainties, the filtering error system is stochastic finite-time stable (SFTS). A sufficient condition for the existence of a finite-time H∞ filter for the stochastic system under consideration is achieved in terms of LMIS. Moreover, the explicit expression of the desired filter parameters is given. A numerical example is provided to illustrate the effectiveness of the proposed method.