微分代数区间动力系统的稳定性与平稳振荡  

Stability and stationary oscillation of differential-algebraic interval systems

作　　者：龚文振[1] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西玉林537000

出　　处：《桂林工学院学报》2006年第2期295-297,共3页Journal of Guilin University of Technology

基　　金：国家自然科学基金资助项目(60564001);广西自然科学基金资助项目(桂科回0448001)

摘　　要：研究了连续微分代数区间动力系统的稳定性与周期解的存在、唯一稳定性问题.利用广义Lyapunov方法给出了其稳定性的充分条件,同时讨论了其解的有界性.在此基础上,给出了其周期解的存在性、唯一性和稳定性的保证性条件.提供的例子说明,文中方法具有可行性.The problems of stability and stationary oscillation were discussed about the differential-algebraic interval systems. The method of Lyapunov function was employed to introduce the sufficient condition for stability of differential-algebraic systems and to discuss the boundary of the solution to differential-algebraic systems. From the application it is found that there is a unique stable periodic solution to the differential-algebraic system. One example is put forward to illustrate the results.

关 键 词：微分代数区间系统 区间矩阵 稳定性 平稳振荡 

分 类 号：O175.21[理学—数学]