Adaptive Exponential Synchronization of Non-AutonomousChaotic Systems With Uncertain Parameters

CHEN Xuefei; LIU Huizhao

doi:10.21656/1000-0887.410072

Volume 42 Issue 3

Mar. 2021

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CHEN Xuefei, LIU Huizhao. Adaptive Exponential Synchronization of Non-AutonomousChaotic Systems With Uncertain Parameters[J]. Applied Mathematics and Mechanics, 2021, 42(3): 316-322. doi: 10.21656/1000-0887.410072

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Adaptive Exponential Synchronization of Non-AutonomousChaotic Systems With Uncertain Parameters

doi: 10.21656/1000-0887.410072

School of Science, Hebei University of Technology, Tianjin 300401, P.R.China

Funds: The National Natural Science Foundation of China（11371110）

Received Date: 2020-03-04
Rev Recd Date: 2021-01-09
Publish Date: 2021-03-01

Abstract

Abstract

The exponential synchronization of non-autonomous chaotic systems with uncertain parameters was studied. The adaptive controller was designed. Based on the Lyapunov stability theory, the exponential stability of the error system was proved. Furthermore, the synchronization time was controlled through adjustment of the control parameters. Numerical simulations of 2 non-autonomous chaotic systems with uncertain parameters were presented to illustrate the ability and effectiveness of the proposed method.
- non-autonomous system,
- chaos,
- adaptive control,
- uncertain parameter,
- exponential synchronization

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References(24)

References

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