Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Synchronization of Non-integer Chaotic Systems with Uncertainties, Disturbances and Input Non-linearities

  • Khan, Ayub (Department of Mathematics, Jamia Millia Islamia) ;
  • Nasreen, Nasreen (Department of Mathematics, Jamia Millia Islamia)
  • Received : 2019.03.14
  • Accepted : 2020.11.25
  • Published : 2021.06.30
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Abstract

In this paper, we examine and analyze the concept of different non-integer chaotic systems with external disturbances, uncertainties, and input non-linearities. We consider both drive and response systems with external bounded disturbances and uncertainties. We also consider non-linear control inputs. For synchronization, we introduce the adaptive sliding mode technique, in which we establish the stability of the controlled system by a control which estimates uncertainties and disturbances, and then applies a suitable sliding surface to control them. We use computer simulations to established the efficacy and adeptness of the prospective scheme.

Keywords

Acknowledgement

This work was supported by UGC, New Delhi, India.

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