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Abstract and Applied Analysis
Volume 2014, Article ID 931520, 8 pages
http://dx.doi.org/10.1155/2014/931520
Research Article

Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition

1School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China
2Department of Information Engineering, Henan College of Finance and Taxation, Zhengzhou 450002, China

Received 25 May 2014; Accepted 28 July 2014; Published 28 August 2014

Academic Editor: Chengjian Zhang

Copyright © 2014 Nengwei Zhang 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.

Abstract

Under the weaker condition on the system growth, this paper further investigates the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. By skillfully using the homogeneous domination approach, a continuous state feedback controller is successfully designed, which preserves the equilibrium at the origin and guarantees the global asymptotic stability of the resulting closed-loop system. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.