摘要
研究了一类非线性系统的有限时间稳定性.通过函数构造和变量替换的方法,给出一个新的非线性系统有限时间稳定的充分条件.该条件与现有结果相比,具有更少的保守性.进一步,将所得的结果推广到不确定性非线性系统,通过构造Lyapunov函数方法,给出系统有限时间稳定的充分条件.仿真例子表明了所得结论的有效性.
This paper considers the finite time stability of nonlinear systems. By using the method of function construction and variable substitution, a new sufficient condition of finite time stability is derived for nonlinear system. This condition is less conservative than the existing results. Furthermore, it is applied to analyze the finite time stability of a class of uncertain nonlinear systems. A sufficient condition for finite time stability is given by the method of constructing Lyapunov function. A numerical example shows the effectiveness of the theoretical results.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第6期837-840,共4页
Control and Decision
基金
国家自然科学基金项目(60974139)
校级博士科研启动基金项目(C5090213)
