一类扩散波方程的PDP反馈控制和稳定性分析

Abstract

Abstract:

In this paper, a position and delayed position (PDP) feedback controller is established for the Hayami diffusive wave equation. The well-posedness of the closed system is studied firstly, and then, by the method of Lyapunov function, the exponential stability is obtained. Finally, compared with the previous results, the range of the control parameters is expanded in this paper, which shows the efficiency and feasibility of PDP feedback.

Key words: Diffusive wave equation, PDP feedback, Lyapunov function, Exponential stability

CLC Number:

O231.4

Dongxia Fan,Dongxia Zhao,Na Shi,Tingting Wang. The PDP Feedback Control and Stability Analysis of a Diffusive Wave Equation[J].Acta mathematica scientia,Series A, 2021, 41(4): 1088-1096.

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References 12

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The PDP Feedback Control and Stability Analysis of a Diffusive Wave Equation

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