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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 180717, 6 pages
Research Article

Global Output Control for a Class of Inherently Higher-Order Nonlinear Time-Delay Systems Based on Homogeneous Domination Approach

1Key Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing, Jiangsu 210096, China
2The School of Automation, Southeast University, Nanjing, Jiangsu 210096, China

Received 13 September 2013; Accepted 1 November 2013

Academic Editor: Guoliang Wei

Copyright © 2013 Lin Chai. 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 addresses the problem of global output feedback stabilization for a class of inherently higher-order uncertain nonlinear systems subject to time-delay. By using the homogeneous domination approach, we construct a homogeneous output feedback controller with an adjustable scaling gain. With the aid of a homogeneous Lyapunov-Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by homogeneous growth conditions and render the closed-loop system globally asymptotically stable. In addition, we also show that the proposed approach is applicable for time-delay systems under nontriangular growth conditions.