霍普夫分叉
控制理论(社会学)
拉普拉斯变换
数学
控制器(灌溉)
分叉
理论(学习稳定性)
MATLAB语言
分数阶微积分
应用数学
计算机科学
控制(管理)
数学分析
非线性系统
物理
人工智能
量子力学
机器学习
农学
生物
操作系统
作者
Changjin Xu,Wei Ou,Yicheng Pang,Qingyi Cui,Mati ur Rahman,Muhammad Farman,Shabir Ahmad,Anwar Zeb
出处
期刊:Match
日期:2023-10-01
卷期号:91 (2): 367-413
被引量:13
标识
DOI:10.46793/match.91-2.367x
摘要
Building delayed dynamical models to describe the inherent laws of different chemical matters has become a hot theme in recent years. In this current study, we set up a new fractional-order delayed turbidostat model. By using laplace transform, we obtain the characteristic equation of established fractional-order delayed turbidostat model. By selecting the delay as bifurcation parameter and exploring the roots of the corresponding characteristic equation of the involved fractional-order delayed turbidostat model, a novel delay-dependent condition on stability and Hopf bifurcation is acquired. Taking advantage of a novel extended hybrid controller, the stability region and the time of Hopf bifurcation of the established fractional-order delayed turbidostat model are successfully controlled. The role of delay in stabilizing system and controlling Hopf bifurcation is revealed. Matlab experiments are carried out to check the rationality of the acquired key outcomes in this article. The acquired outcomes of this study are completely new and own great theoretical value in dominating concentrations of various chemical matters.
科研通智能强力驱动
Strongly Powered by AbleSci AI