Stabilization of Elastic Systems by Collocated Feedback

• Main Authors: Ammari, Kaïs (Author), Nicaise, Serge (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Lecture Notes in Mathematics, 2124
• Subjects: Mathematics.; Partial differential equations.; System theory.; Partial Differential Equations.; Systems Theory, Control.

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 bounde...

Table of Contents:

• 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.