期刊
MATHEMATICS
卷 9, 期 17, 页码 -出版社
MDPI
DOI: 10.3390/math9172149
关键词
variable-order fractional-discrete time systems; synchronization and anti-synchronization; Lyapunov-Krasovskii stability; fractional-order Caputo derivative; time-delay fractional-discrete systems; fractional-order discrete time PID control
类别
In this research paper, the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations is solved using PID control theory and Lyapunov-Krasovskii stability theory. The results obtained through simulation with examples demonstrate satisfactory outcomes in achieving synchronization and anti-synchronization of chaotic systems of a variable fractional order with discrete time delay.
In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations. To guarantee the synchronization and anti-synchronization, we use the well-known PID (Proportional-Integral-Derivative) control theory and the Lyapunov-Krasovskii stability theory for discrete systems of a variable fractional order. We illustrate the results obtained through simulation with examples, in which it can be seen that our results are satisfactory, thus achieving synchronization and anti-synchronization of chaotic systems of a variable fractional order with discrete time delay.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据