Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System

Kun Li, Rongfeng Li, Longzhou Cao (), Yuming Feng () and Babatunde Oluwaseun Onasanya
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Kun Li: School of Electronic and Information Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Rongfeng Li: School of Intelligent Technology, Chongqing Preschool Education College, Wanzhou, Chongqing 404047, China
Longzhou Cao: School of Three Gorges Artificial Intelligence, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Yuming Feng: School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Babatunde Oluwaseun Onasanya: Department of Mathematics, University of Ibadan, Ibadan 200005, Nigeria

Mathematics, 2023, vol. 11, issue 5, 1-17

Abstract: In this paper, based on a three-dimensional Bao system, a memristor-based hyper-chaotic Bao-like system is successfully constructed, and a simulated equivalent circuit is designed, which is used to verify the chaotic behaviors of the system. Meanwhile, a control method called periodically intermittent control with variable control width is proposed. The control width sequence in the proposed method is not only variable, but also monotonically decreasing, and the method can effectively stabilize most existing nonlinear systems. Moreover, the memristor-based hyper-chaotic Bao-like system is controlled by combining the proposed method with the Lyapunov stability principle. Finally, we should that the proposed method can effectively control and stabilize not only the proposed hyper-chaotic system, but also the Chua’s oscillator.

Keywords: memristor; hyper-chaotic system; hyper-chaotic Bao-like system; intermittent control; exponential stabilization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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