TY  - BOOK
AU  - Ammari,Kaïs
AU  - Nicaise,Serge
ED  - SpringerLink (Online service)
TI  - Stabilization of Elastic Systems by Collocated Feedback
T2  - Lecture Notes in Mathematics,
SN  - 9783319109008
AV  - QA370-380 
U1  - 515.353 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Partial differential equations
KW  - System theory
KW  - Partial Differential Equations
KW  - Systems Theory, Control
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-10900-8
ER  -