Open Access
2014 State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements
Yushun Tan, Qiong Qi, Jinliang Liu
Abstr. Appl. Anal. 2014(SI63): 1-11 (2014). DOI: 10.1155/2014/379565


This paper is concerned with the state estimation problem for a class of time-delay systems with Markovian jump parameters and missing measurements, considering the fact that data missing may occur in the process of transmission and its failure rates are governed by random variables satisfying certain probabilistic distribution. By employing a new Lyapunov function and using the convexity property of the matrix inequality, a sufficient condition for the existence of the desired state estimator for Markovian jump systems with missing measurements can be achieved by solving some linear matrix inequalities, which can be easily facilitated by using the standard numerical software. Furthermore, the gain of state estimator can also be derived based on the known conditions. Finally, a numerical example is exploited to demonstrate the effectiveness of the proposed method.


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Yushun Tan. Qiong Qi. Jinliang Liu. "State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements." Abstr. Appl. Anal. 2014 (SI63) 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022264
MathSciNet: MR3193505
Digital Object Identifier: 10.1155/2014/379565

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI63 • 2014
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