Global Stabilization of High-Order Time-Delay Nonlinear Systems under a Weaker Condition. (27th August 2014)

• Record Type: Journal Article
• Authors: Zhang, Nengwei; Zhang, Enbin; Gao, Fangzheng
• Other Names: Zhang Chengjian Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-08-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/931520
• Languages: English
• ISSNs: 1085-3375

Abstract

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.