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doi: 10.3934/naco.2021025
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## Adaptive controllability of microscopic chaos generated in chemical reactor system using anti-synchronization strategy

 Department of Mathematics, Jamia Millia Islamia, India

* Corresponding author: harindri20dbc@gmail.com

Received  December 2020 Revised  June 2021 Early access July 2021

In this manuscript, we design a methodology to investigate the anti-synchronization scheme in chaotic chemical reactor system using adaptive control method (ACM). Initially, an ACM has been proposed and analysed systematically for controlling the microscopic chaos found in the discussed system which is essentially described by employing Lyapunov stability theory (LST). The required asymptotic stability criterion of the state variables of the discussed system having unknown parameters is derived by designing appropriate control functions and parameter updating laws. In addition, numerical simulation results in MATLAB software are performed to illustrate the effective presentation of the considered strategy. Simulations outcomes correspond that the primal aim of chaos control in the given system have been attained computationally.

Citation: Taqseer Khan, Harindri Chaudhary. Adaptive controllability of microscopic chaos generated in chemical reactor system using anti-synchronization strategy. Numerical Algebra, Control & Optimization, doi: 10.3934/naco.2021025
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##### References:
Phase diagram of 3-D chaotic chemical reactor system in $x_{m1}-x_{m2}-x_{m3}$ space
Time series of 3-D chaotic chemical reactor system
Anti-synchronization state trajectories of 3-D chaotic chemical system (A) between $x_{m1}(t)-x_{s1}(t)$, (B) between $x_{m2}(t)-x_{s2}(t)$, (C) between $x_{m3}(t)-x_{s3}(t)$, (D) synchronization error of the system, (E) Parameter estimation
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