Delay feedback impulsive control of a time-delay nonlinear complex financial networks

Cai, Guoliang; Zhang, Zhi Yong; Feng, Gaihong; Chen, Qiaoling

doi:10.1007/s12648-019-01377-y

Cited by 6 publications

(4 citation statements)

References 17 publications

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“…Impulsive control protocol is known as an efficient discrete‐time control technique and extensively applicated in various fields such as financial systems and neural networks, see References 21 and 22 and reference therein. Compared with some continuous control schemes, impulsive control is equipped with a series of advantages like faster response speed, simpler structure and better convergence performance 23 .…”

Section: Introductionmentioning

confidence: 99%

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Wang

Tang

Park

et al. 2023

Adaptive Control & Signal

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SummaryIn this article, the global and exponential synchronization of Lur'e networks with hybrid time‐varying delays is investigated. For sake of saving control costs, a novel impulsive adaptive controller is presented, where the adaptive feedback control input is utilized to compensate the control effects of the impulsive signal. Meanwhile, suitable control gains are obtained according to the designing on adaptive updating laws. In view of the definition of average impulsive interval, the generalized comparison principle and the formula of parameter variation, sufficient conditions for achieving global and exponential synchronization of Lur'e dynamical networks are eventually derived. Two relevant numerical simulations are provided to illustrate the effectiveness of theoretical analysis and the control scheme.

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Section: Introductionmentioning

confidence: 99%

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Wang

Tang

Park

et al. 2023

Adaptive Control & Signal

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“…Therefore, many biology and man-made systems can be better expressed by fractional-order system, for example genetic system, nervous system, and communication system [24][25][26]. In addition, fractional-order calculus uses fractional derivative to increase a degree of freedom, which augments the complexity of the system and makes the fractional-order system more valuable in the fields of finance, dielectric polarization [27][28]. Now, many scholars have drawn fractional-order systems into complex networks and obtained some research outcomes.…”

Section: Introductionmentioning

confidence: 99%

Lag exponential synchronization of fractional-order complex-valued dynamical networks with multiple delays via adaptive control

Ding

Wang

et al. 2022

Preprint

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In this paper, the lag exponential synchronization issue of fractional-order complex-valued dynamic networks with multiple delays is studied. Considering the uncertain factors in the networks, a system model with uncertain disturbance and coupling strength is established. In addition, in order to study the dynamic behavior of complex networks under different coupling delays, symmetric and un symmetric matrices are used to model the coupling systems, respectively. By using Lyapunov stability theorem and fractional-order theory, the criterion of lag exponential synchronization of complex networks via adaptive control are obtained. The result extends the single delay problem of fractional-order complex-valued systems to multiple delays. Finally, two examples of fractional-order complex-valued systems are given to verify the correctness of the theoretical derivation.

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“…Most of the Chinese rural commercial banks are formed through the shareholding system reform of rural credit cooperatives. According to the opinion of the supervisory authority, the existing rural credit cooperatives will be restructured into rural commercial banks, and no new rural credit cooperatives will be formed after that [1]. Rural commercial banks are the main force that serves and support the development of 'agriculture, rural areas, and farmers.'…”

Section: Introductionmentioning

confidence: 99%

Linear fractional differential equations in bank resource allocation and financial risk management model

Yang

2021

Applied Mathematics and Nonlinear Sciences

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The advantage of the linear fractional differential equation for bank resource allocation and financial risk management is that it can test random fluctuations in different functional forms. Given this paper is modelling the asset allocation risk model for rural commercial banks, the linear fractional differential equation analysis method is used to make policy recommendations. The research results of this paper show that credit risk is significantly negatively correlated with the bank's resource allocation. The degree of negative correlation between different levels of credit risk and bank resource allocation is different. Appropriate liquidity risk can optimise the bank's resource allocation.

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Delay feedback impulsive control of a time-delay nonlinear complex financial networks

Cited by 6 publications

References 17 publications

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

Lag exponential synchronization of fractional-order complex-valued dynamical networks with multiple delays via adaptive control

Linear fractional differential equations in bank resource allocation and financial risk management model

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