具有饱和脉冲控制的金融系统的稳定与同步  

Stability and Synchronization of Financial System with Saturated Impulsive Control

作　　者：何志龙[1,2] 吴艳霞 HE Zhilong;WU Yanxia(College of Mathematics and System Science,Xinjiang University,Urumqi 830017;Institute of Statistics and Data Science,Xinjiang University of Finance&Economics,Urumqi 830012;School of Economics and Management,Shihezi University,Shihezi 832000)

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830017 [2]新疆财经大学统计与数据科学学院,乌鲁木齐830012 [3]石河子大学经济与管理学院,石河子832000

出　　处：《系统科学与数学》2024年第3期665-680,共16页Journal of Systems Science and Mathematical Sciences

基　　金：新新疆维吾尔自治区自然科学基金资助项目(2022D01B13,2023CYJ040);新疆维吾尔自治区人文社会科学重点研究基地项目(XJEDU2023P004)资助课题。

摘　　要：在执行器饱和约束下,文章考虑了一类金融系统在脉冲控制下的稳定性和同步.首先,通过引入一个死区非线性函数表示了脉冲时刻的系统的饱和非线性,得到了饱和脉冲控制下金融混沌系统的局部指数稳定性条件.其次,通过建立饱和脉冲控制器,得到了驱动响应金融系统混沌同步的充分条件.最后,通过一个数值例子验证了结论的有效性.Under the constraint of actuator saturation,this paper considers the stability and synchronization of a class of financial systems under impulsive control.First,by introducing a dead zone nonlinear function to represent the saturation non-linearity of the system at the impulsive time,the local exponential stability condition of the financial chaotic system under the saturated impulsive control is obtained.Secondly,by establishing a saturated impulsive controller,a sufficient condition for the chaotic synchronization of the driving response financial system is obtained.Finally,a numerical example is exploited to verify the efficiency of the obtained theoretical results.

关 键 词：金融系统 饱和脉冲控制 稳定性 同步 初值可容许集 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] F830[自动化与计算机技术—控制科学与工程]