摘要
基于非线性系统输入到状态稳定理论,在适型分数阶导数意义下,针对导数阶数在0到1开区间的分数阶非线性系统,给出输入到状态稳定定义,进而建立非线性系统实现输入到状态稳定的Lyapunov定理。
Based on input-to-state stability theory,the input-to-state stability definition is given for the Conformable Fractional Order Nonlinear System with Conformable fractional derivative where the order of the derivative is in the interval(0,1).Furthermore,the input-to-state stability Lyapunov theorem is constructed.
作者
唐莉
高扬
TANG Li;GAO Yang(College of Teaching Education,Daqing Normal University,Daqing,Heilongjiang 163712,China)
出处
《大庆师范学院学报》
2019年第3期69-72,共4页
Journal of Daqing Normal University
基金
黑龙江省青年科学基金项目(QC2009C99)
大庆市科技计划指导项目(zd-2017-49)