摘要
讨论了具有时滞微生物连续培养动力系统的稳定性和α-稳定性.应用时滞系统稳定性切换几何判据法研究了系统的线性稳定性和α-稳定性,并比较这两个稳定性的区别与联系.最后应用数值模拟验证结论的准确性和有效性.
The stability and a-stability of microorganism continuous culture system with time delay are discussed.The linear stability anda-stability of the system are studied by using the stability criterion of switched systems.The difference and connection between the two stabilityare compared.Finally,numerical simulation is applied to verify the accuracy and effectiveness of the conclusion.
作者
张春普
翟延慧
ZHANG Chun-pu;ZHAI Yan-hui(Tianjin Polytechnic University,School of Science,Tianjing 300387)
出处
《生物数学学报》
2019年第1期40-46,共7页
Journal of Biomathematics
基金
国家自然科学基金(21676201)
关键词
微生物连续培养模
时滞
稳定性
α-稳定性
时滞系统稳定性切换几何判据法
Microorganism continuous culture model
Time delay
Stability
α-stability
Time-delay system stability switching geometric criterion method
