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.
Highlights
The analysis and control of financial chaotic system has become a hot topic, which is composed of production, labor, and currency subblocks
Different from that of [11], we investigate a chaotic financial system with average profit rate, which is a hyperchaotic financial system introduced in [12]
(2021) 2021:216 and synchronization are simultaneously considered for the hyperchaotic financial systems with double delays
Summary
The analysis and control of financial chaotic system has become a hot topic (see, e.g., [1,2,3,4,5,6,7,8,9,10]), which is composed of production, labor, and currency subblocks. (2021) 2021:216 and synchronization are simultaneously considered for the hyperchaotic financial systems with double delays. Dθ (1+ac) cd–ck with positive interest rate θ of system (2.2) corresponds to the zero solution of the following system:
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