The exponential stabilization of a heat-wave coupled system and its approximation

Zheng, Fu; Si-jia, Zhang; Wang, Huakun; Guo, Bao‐Zhu

doi:10.1016/j.jmaa.2022.126927

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2024

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Cited by 3 publications

References 35 publications

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Uniformly Exponentially Stable Approximation for the Transmission Line With Variable Coefficients and Its Application

Zhang,

Zheng,

2024

jaac

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Uniformly Exponentially Stable Approximation for the Transmission Line With Variable Coefficients and Its Application

Zhang,

Zheng,

2024

jaac

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The Exponential Stabilization of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers

Özer,

Khalilullah,

Rasaq

2024

2024 American Control Conference (ACC)

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Semi-Discretized Approximation of Stability of Sine-Gordon System with Average-Central Finite Difference Scheme

Wang,

Qiao

et al. 2024

Mathematics

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In this study, the energy control and asymptotic stability of the 1D sine-Gordon equation were investigated from the viewpoint of numerical approximation. An order reduction method was employed to transform the closed-loop system into an equivalent system, and an average-central finite difference scheme was constructed. This scheme is not only energy-preserving but also possesses uniform stability. The discrete multiplier method was utilized to obtain the uniformly asymptotic stability of the discrete systems. Moreover, to cope with the nonlinear term of the model, a discrete Wirtinger inequality suitable for our approximating scheme was established. Finally, several numerical experiments based on the eigenvalue distribution of the linearized approximation systems were conducted to demonstrate the effectiveness of the numerical approximating algorithm.

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The exponential stabilization of a heat-wave coupled system and its approximation

Cited by 3 publications

References 35 publications

Uniformly Exponentially Stable Approximation for the Transmission Line With Variable Coefficients and Its Application

Uniformly Exponentially Stable Approximation for the Transmission Line With Variable Coefficients and Its Application

The Exponential Stabilization of a Heat and Piezoelectric Beam Interaction with Static or Hybrid Feedback Controllers

Semi-Discretized Approximation of Stability of Sine-Gordon System with Average-Central Finite Difference Scheme

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