Theory of stabilization for linear boundary control systems / Takao Nambu, Professor Emeritus, Department of Applied Mathematics, Kobe University, Kobe, Japan
Preliminary results: stabilization of linear systems of finite dimension -- Preliminary results: basic theory of elliptic operators -- Stabilization of linear systems of infinite dimensions: static feedback -- Stabilization of linear systems of infinite dimension: dynamic feedback -- Stabilization of linear systems with Riesz Bases: dynamic feedback -- Output stabilization: lack of the observability and/or the controllability conditions -- Stabilization of a class of linear control systems generating C-semigroups -- A computational algorhism for an infinite-dimensional Sylvester's equation
Summary
This book presents a unified algebraic approach to stabilization problems of linear boundary control systems with no assumption on finite-dimensional approximations to the original systems, such as the existence of the associated Riesz basis. A new proof of the stabilization result for linear systems of finite dimension is also presented, leading to an explicit design of the feedback scheme. The problem of output stabilization is discussed, and some interesting results are developed when the observability or the controllability conditions are not satisfied
Bibliography
Includes bibliographical references (pages 265-270) and index
