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Finite-time stabilization of a perturbed chaotic finance model

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dc.contributor.author Ahmad, Israr
dc.contributor.author Ouannas, Adel
dc.contributor.author Shafiq, Muhammad
dc.contributor.author Pham, Viet-Thanh
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-04-27T13:35:26Z
dc.date.available 2022-04-27T13:35:26Z
dc.date.issued 2021-09
dc.identifier.citation Ahmad, Israr...et al. (2021). "Finite-time stabilization of a perturbed chaotic finance model", Journal of Advanced Research, vol. 32, pp. 1-14. tr_TR
dc.identifier.issn 2090-1232
dc.identifier.uri http://hdl.handle.net/20.500.12416/5451
dc.description.abstract Introduction: Robust, stable financial systems significantly improve the growth of an economic system. The stabilization of financial systems poses the following challenges. The state variables’ trajectories (i) lie outside the basin of attraction, (ii) have high oscillations, and (iii) converge to the equilibrium state slowly. Objectives: This paper aims to design a controller that develops a robust, stable financial closed-loop system to address the challenges above by (i) attracting all state variables to the origin, (ii) reducing the oscillations, and (iii) increasing the gradient of the convergence. Methods: This paper proposes a detailed mathematical analysis of the steady-state stability, dissipative characteristics, the Lyapunov exponents, bifurcation phenomena, and Poincare maps of chaotic financial dynamic systems. The proposed controller does not cancel the nonlinear terms appearing in the closed-loop. This structure is robust to the smoothly varying system parameters and improves closed-loop efficiency. Further, the controller eradicates the effects of inevitable exogenous disturbances and accomplishes a faster, oscillation-free convergence of the perturbed state variables to the desired steady-state within a finite time. The Lyapunov stability analysis proves the closed-loop global stability. The paper also discusses finite-time stability analysis and describes the controller parameters’ effects on the convergence rates. Computer-based simulations endorse the theoretical findings, and the comparative study highlights the benefits. Results: Theoretical analysis proofs and computer simulation results verify that the proposed controller compels the state trajectories, including trajectories outside the basin of attraction, to the origin within finite time without oscillations while being faster than the other controllers discussed in the comparative study section. Conclusions: This article proposes a novel robust, nonlinear finite-time controller for the robust stabilization of the chaotic finance model. It provides an in-depth analysis based on the Lyapunov stability theory and computer simulation results to verify the robust convergence of the state variables to the origin. © 2021 tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof DOI 10.1016/j.jare.2021.06.013 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Chaos Suppression tr_TR
dc.subject Chaotic Finance System tr_TR
dc.subject Finite-Time Stability tr_TR
dc.subject Lyapunov Function tr_TR
dc.subject Nonlinear Control tr_TR
dc.title Finite-time stabilization of a perturbed chaotic finance model tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Advanced Research tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 32 tr_TR
dc.identifier.startpage 1 tr_TR
dc.identifier.endpage 14 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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