Exponential synchronization and stabilization of delayed feedback hyperchaotic financial system

Abstract

Abstract 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.

Keywords

• Delayed feedback financial system
• Hyperchaotic system
• Differential mean value theorem
• Synchronization
• Impulse