Fixed-Time Asymptotic Stability and Energy Consumption Estimation of Nonlinear Systems

ZHAI Guoqing; CHEN Qiaoyu; TONG Dongbing; ZHOU Wuneng

doi:10.21656/1000-0887.440041

Volume 44 Issue 10

Oct. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(10): 1180-1186

ZHAI Guoqing, CHEN Qiaoyu, TONG Dongbing, ZHOU Wuneng. Fixed-Time Asymptotic Stability and Energy Consumption Estimation of Nonlinear Systems[J]. Applied Mathematics and Mechanics, 2023, 44(10): 1180-1186. doi: 10.21656/1000-0887.440041

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Fixed-Time Asymptotic Stability and Energy Consumption Estimation of Nonlinear Systems

doi: 10.21656/1000-0887.440041

1.
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, P.R.China
2.
College of Information Science and Technology, Donghua University, Shanghai 200051, P.R.China

Received Date: 2023-02-20
Rev Recd Date: 2023-07-09
Publish Date: 2023-10-31

Abstract

Abstract

The fixed-time asymptotic stability and energy consumption estimation problems of nonlinear systems were discussed. First, a novel dynamic model with nonlinearity and time-varying delays was proposed. Second, to effectively improve the convergence rate of the system, a fixed-time control strategy was adopted. Through construction of the Lyapunov functional and with the inequality analysis method, sufficient conditions for the error system were obtained to achieve the fixed-time asymptotic stability. Moreover, to predict the energy consumption during the operation of the system, the upper bound of the energy consumption for the system was estimated, which is helpful to evaluate the operation time of the system. Finally, a numerical example was given to verify the feasibility and effectiveness of the results.
- fixed-time control,
- asymptotic stability,
- time-varying delay,
- nonlinear system,
- energy consumption estimation

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References(20)

References

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