title: Further results on global state feedback stabilization of high-order nonlinear systems with time-varying delays.
abstract: This paper considers the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-varying delays. Comparing with the existing relevant literature, the systems under investigation allow more uncertainties, to which the existing control methods are inapplicable. By introducing sign function and necessarily modifying the method of adding a power integrator, a state feedback controller is successfully constructed to preserve the equilibrium at the origin and guarantee the global asymptotic stability of the resulting closed-loop system. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed approach.
authors.affiliation: School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China; School of Automation, Southeast University, Nanjing 210096, China. Electronic address: gaofz@126.com.
authors.forename: Fangzheng
authors.initials: F
authors.lastname: Gao
authors.affiliation: Institute of Automation, Qufu Normal University, Qufu 273165, China.
authors.forename: Yuqiang
authors.initials: Y
authors.lastname: Wu
keywords: Adding a power integrator; Global asymptotic stability; High-order nonlinear systems; Sign function; Time-varying delays