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Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights

  • *Corresponding author: Wenjun Liu

    *Corresponding author: Wenjun Liu 

The authors Wenjun Liu, Aowen Kong and Yanning An were supported by National Natural Science Foundation of China (Grant No. 11771216), Key Research and Development Program of Jiangsu Province (Social Development) (Grant No. BE2019725) and Qing Lan Project of Jiangsu Province and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX20_0945)

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  • In this paper, we consider a system of magnetic effected piezoelectric beams with interior time-varying delay and time-dependent weights, in which the beam is clamped at the two side points subject to a single distributed state feedback controller with a time-varying delay. By combining the semigroup theory with Kato's variable norm technique, we obtain the existence and uniqueness of solution. By imposing appropriate assumptions on the time-varying delay term and time-dependent weights, we introduce suitable perturbed Lyapunov functional to obtain exponential stability estimates.

    Mathematics Subject Classification: Primary: 35Q60, 35Q74, 35L20; Secondary: 93D15.


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