Exponential Stabilization for Nonlinear Systems with Delayed Perturbations
The problem of stabilization for dynamical systems with delayed perturbations is considered. Firstly, a class of nonlinear systems with delayed perturbations is studied. Some sufficient conditions are derived by making use of Lyapunov stability theory, and a continuous controller is provided for the exponential convergence of the systems with delayed perturbations. Then, a class of nonlinear systems with delayed perturbations and uncertain control is concerned. A continuous feedback controller is constructed, and the corresponding closed-loop system satisfying some conditions can be proved to be exponentially stable. Furthermore, a class of uncertain systems with linear nominal part is investigated. It is proved that the class of systems is exponential stabilizable under certain appropriate conditions. Finally, a numerical example is given to demonstrate the validity of the results.
Exponential stability Delayed perturbations Nonlinear Systems
Xueli Wang Yali Dong Weixun Li
School of Science, Tianjin Polytechnic University, Tianjin 300160, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
991-996
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）