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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 379565, 11 pages
Research Article

State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements

Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, China

Received 22 January 2014; Accepted 18 February 2014; Published 3 April 2014

Academic Editor: Shuping He

Copyright © 2014 Yushun Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.