Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control
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Zhe Zhang
,
Jing Zhang
Abstract
This paper is concerned about the impulsive control of a class of novel nonlinear fractional-order financial system with time-delay. Considering the variation of every states in the fractional-order financial system in the real world has certain delay for various reasons, thus we add corresponding delay on every state variable. Different from the traditional method of stability judgment, we choose two dimensions of time and space to analyze, which makes the process more accurate. In addition, the sufficient condition of the stability criterion for the fractional-order financial system based on impulsive control is derived. Moreover, the impulsive control can not only make the fractional-order financial system stable in different time delay but also in the different fractional operator. Consequently, the impulsive control has generality, universality and strong applicability. In the end, some numerical simulation examples are provided to verify the effectiveness and the benefit of the proposed method.
Funding source: National Nature Science Foundation of China
Award Identifier / Grant number: 61573299
Funding source: Hunan Provincial Innovation Foundation For Postgraduate
Award Identifier / Grant number: CX20190304
Funding source: Research Foundation of Education Department of Anhui Province
Award Identifier / Grant number: KJ2019A0149
Funding source: Natural Science Foundation of Fujian Province
Award Identifier / Grant number: 2018J01806
Funding source: Scientific Research Program of Outstanding Young Talents in Universities of Fujian Province (SRPOYT)
Funding source: Open Project of Electronic Information and Control University Engineering Research Center of Fujian Province
Award Identifier / Grant number: EIC1705
Funding source: Scientific Research Launch Project of Anhui Polytechnic University
Award Identifier / Grant number: 2017YQQ011
Acknowledgments
This study was supported in part by the National Nature Science Foundation of China (No. 61573299), the Hunan Provincial Innovation Foundation For Postgraduate (CX20190304), Research Foundation of Education Department of Anhui Province (KJ2019A0149), Natural Science Foundation of Fujian Province (2018J01806), the Scientific Research Program of Outstanding Young Talents in Universities of Fujian Province (SRPOYT), the Open Project of Electronic Information and Control University Engineering Research Center of Fujian Province (EIC1705), and Scientific Research Launch Project of Anhui Polytechnic University (2017YQQ011).
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This study was supported in part by the National Nature Science Foundation of China (No. 61573299), the Hunan Provincial Innovation Foundation For Postgraduate (CX20190304), the Research Foundation of Education Department of Anhui Province (KJ2019A0149), the Natural Science Foundation of Fujian Province (2018J01806), the Scientific Research Program of Outstanding Young Talents in Universities of Fujian Province (SRPOYT), the Open Project of Electronic Information and Control University Engineering Research Center of Fujian Province (EIC1705), and Scientific Research Launch Project of Anhui Polytechnic University (2017YQQ011).
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Conflict of interest: The authors declare no conflicts of interest regarding this article.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control
- Periodic solutions for stochastic Cohen–Grossberg neural networks with time-varying delays
- The monotone iterative method for the integral boundary value problems of fractional p-Laplacian equations with delay
- Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators
- Synchronization of Cohen-Grossberg fuzzy cellular neural networks with time-varying delays
- Application of Hermite–Padé approximation for detecting singularities of some boundary value problems
- The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs
- A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument
- Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models
- Synchronization stability on the BAM neural networks with mixed time delays
- Nonlinear solution of the reaction–diffusion equation using a two-step third–fourth-derivative block method
Artikel in diesem Heft
- Frontmatter
- Original Research Articles
- Stability control of a novel multidimensional fractional-order financial system with time‐delay via impulse control
- Periodic solutions for stochastic Cohen–Grossberg neural networks with time-varying delays
- The monotone iterative method for the integral boundary value problems of fractional p-Laplacian equations with delay
- Solvability of fractional differential inclusions with nonlocal initial conditions via resolvent family of operators
- Synchronization of Cohen-Grossberg fuzzy cellular neural networks with time-varying delays
- Application of Hermite–Padé approximation for detecting singularities of some boundary value problems
- The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs
- A numerical technique for a general form of nonlinear fractional-order differential equations with the linear functional argument
- Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models
- Synchronization stability on the BAM neural networks with mixed time delays
- Nonlinear solution of the reaction–diffusion equation using a two-step third–fourth-derivative block method
