2018
DOI: 10.1155/2018/7149801
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Finite Time Stability of Finance Systems with or without Market Confidence Using Less Control Input

Abstract: In this paper, we make an exploration of a technique to control a class of finance chaotic systems. This technique allows one to achieve the finite time stability of the finance system more effectively with less control input energy. First, the finite time stability of three dimension finance system without market confidence is analyzed by using a single controller. Then, two controllers are designed to stabilize the four-dimension finance system with market confidence. Moreover, the finite time stability of t… Show more

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Cited by 8 publications
(7 citation statements)
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“…Remark 3. From the above inequality (18), one can find that the UET heavily depends on the initial errors e i (0), i = 1, 2, 3. This matter has been solved in Theorem 1 successfully by discussing the previous problem of SFxS between two CFSs.…”
Section: Resultsmentioning
confidence: 99%
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“…Remark 3. From the above inequality (18), one can find that the UET heavily depends on the initial errors e i (0), i = 1, 2, 3. This matter has been solved in Theorem 1 successfully by discussing the previous problem of SFxS between two CFSs.…”
Section: Resultsmentioning
confidence: 99%
“…In order to acquire a fast convergence speed for CFS, the classical finite-time Lyapunov stability theory has been leveraged a lot in the past. Ma et al [18] have discussed the problem of finite-time stabilization for different dimensional CFS without and with market confidence by a single and two controllers, respectively. Xu et al [19] have considered the influence of energy-bounded external disturbance in the process of realizing finite-time stable of CFS.…”
Section: Introductionmentioning
confidence: 99%
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“…However, the upper-bound of time-estimation(UT) for realizing the finite-time stabilization or synchronization is tightly related with the initial states of CFSs [18]- [22]. That is, the UT cannot be known in advance due to the uncertainty of initial states.…”
Section: Introductionmentioning
confidence: 99%
“…It is well known that supply chain integration has become an inevitable choice for the sustainable development of China's economy [1]- [5]. However, traditional supply chain researches focus on logistics and information flow, neglecting capital flow in supply chain operation [6]- [11].…”
Section: Introductionmentioning
confidence: 99%