【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.更多还原

【Abstract】 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.更多还原