STABILITY FOR A NOVEL TIME-DELAY FINANCIAL HYPERCHAOTIC SYSTEM BY ADAPTIVE PERIODICALLY INTERMITTENT LINEAR CONTROL

Lingling Zhang; Guoliang Cai; Xiulei Fang

doi:10.11948/2017006

2017 Volume 7 Issue 1

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Lingling Zhang, Guoliang Cai, Xiulei Fang. STABILITY FOR A NOVEL TIME-DELAY FINANCIAL HYPERCHAOTIC SYSTEM BY ADAPTIVE PERIODICALLY INTERMITTENT LINEAR CONTROL[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 79-91. doi: 10.11948/2017006

Citation:

Lingling Zhang, Guoliang Cai, Xiulei Fang. STABILITY FOR A NOVEL TIME-DELAY FINANCIAL HYPERCHAOTIC SYSTEM BY ADAPTIVE PERIODICALLY INTERMITTENT LINEAR CONTROL[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 79-91. doi: 10.11948/2017006

STABILITY FOR A NOVEL TIME-DELAY FINANCIAL HYPERCHAOTIC SYSTEM BY ADAPTIVE PERIODICALLY INTERMITTENT LINEAR CONTROL

Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, China

Abstract

Abstract

In this paper, we get a time-delay new financial hyperchaotic system by modifying an old financial hyperchaotic system. we study the stability of a time-delay financial hyperchaotic system via adaptive periodically intermittent linear control method. Stability is obtained by using Lyapunov stability theorem, adaptive update laws and differential inequalities. Moreover, some numerical simulations are performed to show the advantage of the applications of this method.
- Time-delay financial hyperchaotic systems /
- adaptive periodically intermittent linear control /
- adaptive update laws
MSC: 34K20;34C28;34H10

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References

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