In a real financial market, the delayed market feedback and the delayed effect of government macrocontrol are inevitable, and both bring mathematical difficulties in studying stabilization and synchronization of the hyperchaotic financial system. However, employing the Lyapunov function method, differential mean value theorem, and suitable bounded hypotheses and pulse control technology result in globally asymptotic stabilization and synchronization criteria. It is the first paper driving the stabilization and synchronization criteria under the assumptions of double delays. Finally, numerical examples illustrate the effectiveness of the proposed methods.

中文翻译：

---

时滞反馈超混沌金融系统的指数同步与镇定

在真实的金融市场中，不可避免的是市场反馈的延迟和政府宏观调控的延迟，这在研究超混沌金融系统的稳定和同步方面都带来了数学上的困难。但是，采用Lyapunov函数方法，微分中值定理，合适的有界假设和脉冲控制技术会导致全局渐近稳定和同步准则。这是在双重延迟的假设下提出稳定和同步标准的第一篇论文。最后，数值算例说明了所提出方法的有效性。