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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.

Mathematics. --- Partial Differential Equations. --- Systems Theory, Control. --- Differential equations, partial. --- Systems theory. --- Mathématiques --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Partial differential equations. --- System theory. --- Systems, Theory of --- Systems science --- Science --- Partial differential equations --- Math --- Philosophy --- Stability. --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium

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Partial differential equations --- Equations aux derivees partielles --- Equations aux derivees partielles elliptiques --- Equations integrales --- Problemes aux limites --- Frontieres non regulieres

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Günter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Günter Lumer.

Partial differential equations --- differentiaalvergelijkingen

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Differential equations, Partial --- Numerical analysis --- Biomathematics --- Mathematical physics --- Numerical solutions --- Congresses --- Équations aux dérivées partielles --- Differential equations, Partial - Numerical solutions - Congresses --- Numerical analysis - Congresses --- Biomathematics - Congresses --- Mathematical physics - Congresses