On the adaptive sliding mode controller for a hyperchaotic fractional-order financial system

Ahamad Hajipour, Mojtaba Hajipour and Dumitru Baleanu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 497, issue C, 139-153

Abstract: This manuscript mainly focuses on the construction, dynamic analysis and control of a new fractional-order financial system. The basic dynamical behaviors of the proposed system are studied such as the equilibrium points and their stability, Lyapunov exponents, bifurcation diagrams, phase portraits of state variables and the intervals of system parameters. It is shown that the system exhibits hyperchaotic behavior for a number of system parameters and fractional-order values. To stabilize the proposed hyperchaotic fractional system with uncertain dynamics and disturbances, an efficient adaptive sliding mode controller technique is developed. Using the proposed technique, two hyperchaotic fractional-order financial systems are also synchronized. Numerical simulations are presented to verify the successful performance of the designed controllers.

Keywords: Fractional-order financial system; Hyperchaotic; Adaptive sliding mode control; Synchronization (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:497:y:2018:i:c:p:139-153

DOI: 10.1016/j.physa.2018.01.019

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