节点文献
一类非线性动力系统实用稳定域的研究及应用
Study on Practical Stability Domain Estimates of a Class of Nonlinear Dynamical System with Application
【摘要】 借助于李雅普诺夫函数讨论了一类非线性动力系统的实用稳定性和实用稳定域的估计问题,得到了实用稳定域存在的充分条件,给出了一类动力系统实用稳定域的具体形式.通过具体实例说明了所给条件的实用性,改进了已有的结果.
【Abstract】 In this paper,the practical stability and the estimates of practical stability domains of some nonlinear dynamical system are discussed by Lyapunov function,some sufficient conditions of the existence of domain of practical stability are given,and the method of constructing practical stability domains of a kind of dynamical system are obtained,which improved the result in the proceeding literature.
【关键词】 动力系统;
实用稳定;
实用稳定域;
实用稳定域估计;
李雅普诺夫函数;
【Key words】 practical stability; practical stability domains; estimates of practical stability domains; V-function;
【Key words】 practical stability; practical stability domains; estimates of practical stability domains; V-function;
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年13期
- 【分类号】O19
- 【被引频次】3
- 【下载频次】109