摘要
利用分数维微积分(F ractional Calcu lus,简记为FC)理论,推广了Lyapunov第二方法,得到了类Lyapunov判据,给出了一种新的构造Lyapunov函数的方法和途径,并且把此判据推广到分数维系统,给出了一种分数维系统的Lyapunov稳定性问题的判别方法.
The Lyapunov second method is extended by fractional calculus theory, and then the similar Lyapunov theorem is obtained, thus, a new constructing approach of Lyapunov function is given; Fractional order system＇s Lyapunov stability concept is introduced, and then the similar Lyapunov theorem is extended to the fracitonal order dynamic system, therefore, a judging FOS stability method is given.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2005年第3期291-294,共4页
Pure and Applied Mathematics
基金
国家自然科学基金项目(60374015)
