Impulse Control of Financial Systems With Probabilistic Delay Feedback

AZI Aying; RAO Ruofeng; ZHAO Feng; HUANG Hongyan; WANG Xue; LIU Hao

doi:10.21656/1000-0887.400059

Volume 40 Issue 12

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AZI Aying, RAO Ruofeng, ZHAO Feng, HUANG Hongyan, WANG Xue, LIU Hao. Impulse Control of Financial Systems With Probabilistic Delay Feedback[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1409-1416. doi: 10.21656/1000-0887.400059

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Impulse Control of Financial Systems With Probabilistic Delay Feedback

doi: 10.21656/1000-0887.400059

¹Department of Mathematics, Chengdu Normal University, Chengdu 611130, P.R.China;²Institute of Financial Mathematics, Chengdu Normal University, Chengdu 611130, P.R.China

Received Date: 2019-02-25
Rev Recd Date: 2019-02-28
Publish Date: 2019-12-01

Abstract

Abstract

The global asymptotic stability of equilibrium points of impulsive financial systems with probabilistic delays was studied. Firstly, through definition of the random variables on the appropriate time-delay intervals, the mathematical model for the impulsive financial system with probabilistic time delay was given. According to the characteristics of impulsive differential inequalities, a simple and suitable Lyapunov function was constructed. By means of the impulsive differential inequality lemma, the technique of controlling impulse interval & impulse quantity and the probabilistic time delay analysis, the global exponential stability of the equilibrium point in the permissible category of large delays was obtained. Finally, the feasibility of the proposed method and the advantages of probabilistic delay were verified with a numerical example. In particular, the increase of the time delay allowable upper limit to the stability criterion enlarges the practicability of the criterion.
- probabilistic delay,
- impulsive differential inequality,
- Lyapunov function,
- MATLAB LMI toolbox

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References(17)

References

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