Journal
NONLINEAR DYNAMICS
Volume 79, Issue 2, Pages 1399-1409Publisher
SPRINGER
DOI: 10.1007/s11071-014-1749-7
Keywords
Finite-time stabilization; Fractional-order financial system; Chaotic attractors; Finite-time control; 0-1 Test algorithm
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Funding
- Excellent Young Scientist Foundation of Shandong Province [BS2011SF018]
- National Social Science Foundation of China [12BJY103]
- National Natural Science Foundation of China [71272148]
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A novel integer-order chaotic financial system is proposed by considering market confidence into a three-dimensional financial system. A four-dimensional fractional-order financial system is presented by introducing fractional calculus into the new integer-order system. The 0-1 test algorithm is employed to identify chaos. A robust controller is designed to stabilize the fractional-order chaotic system in a finite time. This finite-time control scheme can keep the original structure of system as much as possible and can be applied to stabilizing other chaotic systems including dynamic economic systems. Numerical simulations validate the main results of this work.
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