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Stabilization of Elastic Systems by Collocated Feedback

Kaïs Ammari, Serge Nicaise (Autoren)

Buch | Softcover

XI, 178 Seiten

2014
Springer International Publishing (Verlag)
978-3-319-10899-5 (ISBN)

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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.

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

Erscheint lt. Verlag	13.11.2014
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XI, 178 p. 3 illus., 2 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	302 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	93D15,93B07,93B05,93B52,93C15,93C20,35L05,35L57,35 • 93D15,93B07,93B05,93B52,93C15,93C20,35L05,35L57,35Q74,35M33. • Collocated feedbacks • Elastic Systems • observability • Partial differential equations • PDE • stability
ISBN-10	3-319-10899-9 / 3319108999
ISBN-13	978-3-319-10899-5 / 9783319108995
Zustand	Neuware