Stabilization of elastic systems by collocated feedback [electronic resource]

• 作者： Ammari, Kais.
• 其他作者：
  • Nicaise, Serge.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in mathematics
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes in mathematics2124
• 主題： Stability , System theory , Mathematics , Partial Differential Equations. , Systems Theory, Control.
• ISBN： 9783319109008 (electronic bk.) 、 9783319108995 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Some backgrounds -- Stabilization of second order evolution equations by a class of unbounded feedbacks -- Stabilization of second order evolution equations with unbounded feedback with delay -- Asymptotic behaviour of concrete dissipative systems -- Systems with delay -- Bibliography.
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• 摘要註: By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.
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