Stabilization of Elastic Systems by Collocated Feedback

• Κύριοι συγγραφείς: Ammari, Kaïs (Συγγραφέας), Nicaise, Serge (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Lecture Notes in Mathematics, 2124
• Θέματα: Mathematics.; Partial differential equations.; System theory.; Partial Differential Equations.; Systems Theory, Control.
• Φυσική περιγραφή: XI, 178 p. 3 illus., 2 illus. in color. online resource.
• ISBN: 9783319109008
• ISSN: 0075-8434 ;

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.