Filtering for Discrete-Time Stochastic Systems with Nonlinear Sensor and Time-Varying Delay

Mingang Hua, Pei Cheng, Juntao Fei, Jianyong Zhang and Junfeng Chen

International Journal of Stochastic Analysis, 2013, vol. 2013, 1-9

Abstract:

The filtering problem for a class of discrete-time stochastic systems with nonlinear sensor and time-varying delay is investigated. By using the Lyapunov stability theory, sufficient conditions are proposed to guarantee the asymptotical stablity with an prescribe performance level of the filtering error systems. These conditions are dependent on the lower and upper bounds of the discrete time-varying delays and are obtained in terms of a linear matrix inequality (LMI). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:306707

DOI: 10.1155/2013/306707

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