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Moulay, E., Dambrine, M., Yeganefar, N. and Perruquetti, W. (2008) Finite-Time Stability and Stabilization of Time-Delay Systems. Systems & Control Letters, 57, 561-566.
http://dx.doi.org/10.1016/j.sysconle.2007.12.002

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.