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UNIFORM DECAY RATE FOR THE TRANSMISSION WAVE EQUATIONS WITH VARIABLE COEFFICIENTS

Journal of Systems Science & Complexity 2011年第2期24卷 253-260页

作者： shugen chai School of Mathevaatical Sciences Shanxi University Taiyuan 030006 China

This paper considers the stabilization of the transmission problem of wave equations with variable coefficients. By introducing both boundary feedback control and distribute feedback control near the transmission boun... 详细信息

关键词： Feedback stabilization transmission problem wave equation.

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Exact Controllability of Wave Equations with Interior Degeneracy and One-Sided Boundary Control

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Journal of Systems Science & Complexity 2023年第2期36卷 656-671页

作者： BAI Jinyan chai shugen School of Mathematical Sciences Shanxi UniversityTaiyuan 030006China School of Mathematics Jinzhong UniversityTaiyuan 030006China

In this paper,the authors mainly consider the exact controllability for degenerate wave equation,which degenerates at the interior point,and boundary controls acting at only one of the boundary *** main results are that,it is possible to control both the position and the velocity at every point of the body and at a certain time T for the wave equation with interior weakly ***,it is shown that the exact controllability fails for the wave equation with interior strongly *** order to steer the system to a certain state,one needs controls to act on both boundary points for the wave equation with interior strongly *** difficulties are addressed by means of spectral analysis.

关键词： Boundary control degenerate wave equation exact controllability interior degeneracy

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The Stability of Schrdinger Equation with Boundary Control Matched Disturbance

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Journal of Systems Science & Complexity 2017年第6期30卷 1258-1269页

作者： ZHANG Xiaoying chai shugen School of Mathematical Sciences Shanxi University Department of Mathematics Shanxi Agriculture University

This paper studies the stability of Schr¨odinger equation with boundary control matched disturbance. The time-varying gain extended state observer is utilized to estimate disturbance and state. Meanwhile, the authors get a continuous controller by the active disturbance rejection control strategy, which shows that the closed-loop system of Schr¨odinger equation is asymptotically *** results are illustrated by simulation examples.

关键词： Active disturbance rejection control extended state observer SchrSdinger equation stability.

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Regularity for Euler-Bernoulli Equations with Boundary Control and Collocated Observation

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Journal of Systems Science & Complexity 2015年第4期28卷 788-798页

作者： WEN Ruili chai shugen School of Mathematical Sciences Shanxi University

This paper studies the regularity of Euler-Bernoulli equations on a bounded domain of Rn(n≥2)with boundary controls and collocated *** authors consider the Dirichlet controls in the case of hinged and clamped boundary controls *** is shown that the systems are regular in the sense of *** feedthrough operators are founded to be zero.

关键词： Boundary control and collocated observation Euler-Bernoulli plate equation regularity.

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