New augmented Lyapunov functional method for stability of uncertain neutral systems with equivalent delays

Authors:
Wei Qian;Juan Liu;Shumin Fei
Affiliations:
School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, Henan, 454000, China;Department of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan, 454000, China;Department of Automation, Southeast University, Nanjing, Jiangsu, 210096, China
Venue:
Mathematics and Computers in Simulation
Year:
2012

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Abstract

This paper is concerned with the delay-dependent stability for neutral systems with equivalent delays and norm-bounded uncertainties. Through constructing a new augmented LKF and proving its positive definiteness, introducing some slack matrices and using integral inequality, the improved delay-dependent stability criteria are derived in terms of linear matrix inequalities, and it is theoretically established that obtained results are less conservative than some existing stability conditions. Finally, numerical examples are given to illustrate the significant improvement on the conservatism of the delay bound over some existing results.