Finite-Time Bound Synchronization of the New Chaotic System With Energy Consumption Estimation

IEEE Access

Yifeng Wei¹  Dongbing Tong²  Yuhua Xu³  Chengrong Xie⁴ 

[1] School of Economy and Management, Hanjiang Normal University, Hubei, China;School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, China;School of Finance, Nanjing Audit University, Jiangsu, China;School of Statistics and Mathematics, Nanjing Audit University, Jiangsu, China;

关键词: Chaos;    bifurcation;    synchronization;   

DOI  :  10.1109/ACCESS.2022.3171814

来源: DOAJ

【 摘 要 】

As chaotic systems are widely used in many fields, the study of them is becoming more and more in- depth. This paper first presents a new single-equilibrium chaotic system which is only three terms, and some fundamental dynamical feature of the new chaotic system are discussed, such as equilibria, dissipativity, Poincaré diagram, bifurcation graph, etc. Secondly, a new finite-time controllers is designed by using Lyapunov stability theory, and it can be used for bound synchronization of the general chaotic systems. In contrast to the current finite time controller of the chaotic system, the designed controller in this paper does not contain exponential term, it can be simple and eliminate the chattering phenomenon during synchronizationis, which may be easier to implement in practical application. In addition, under the finite time controller, the bound of control energy consumption of the chaotic system is estimated. Finally, the finite-time controllers for the new chaotic system are advanced using the design method of finite-time controller of the general chaotic system, and the result of numerical simulation is given to check its validity by the designed method.

【 授权许可】

Unknown