摘要
在适型分数阶导数意义下,针对导数阶数在区间(0,1)内的非线性切换系统,给出切换系统稳定定理,进而应用切换系统稳定定理和图论思想,证明基于切换网络的适型分数阶耦合非线性系统实现分数阶指数稳定的Lyapunov定理.
Based on the conformable fractional derivative,stability theorems are obtained for the fractional order switched nonlinear system with conformable fractional derivative where the order of the derivative is in the interval(0,1).By stability theorems for the switched system and graph theory,fractional exponential stability Lyapunov theorems are given for one class of the conformable fractional order coupled nonlinear system on switched network.
作者
高扬
庞棋月
GAO Yang;PANG Qiyue(School of Mathematics,Daqing Normal University,Daqing 163712,China;School of Mathematics and Statistical,Northeast Petroleum University,Daqing 163711,China)
出处
《高师理科学刊》
2022年第4期1-5,共5页
Journal of Science of Teachers＇College and University
基金
黑龙江省自然科学基金项目(HL2020A017)。
