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http://dx.doi.org/10.5666/KMJ.2021.61.2.353

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)
Publication Information
Kyungpook Mathematical Journal / v.61, no.2, 2021 , pp. 353-369 More about this Journal
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
chaos synchronization; adaptive sliding mode technique; unknown disturbances; model uncertainties and input non-linearity;
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