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Titlebook: Control Theory of Infinite-Dimensional Systems; Joachim Kerner,Hafida Laasri,Delio Mugnolo Conference proceedings 2020 Springer Nature Swi

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书目名称Control Theory of Infinite-Dimensional Systems
编辑Joachim Kerner,Hafida Laasri,Delio Mugnolo
视频videohttp://file.papertrans.cn/238/237302/237302.mp4
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Control Theory of Infinite-Dimensional Systems;  Joachim Kerner,Hafida Laasri,Delio Mugnolo Conference proceedings 2020 Springer Nature Swi
描述.This book presents novel results by participants of the conference “Control theory of infinite-dimensional systems” that took place in January 2018 at the FernUniversität in Hagen. Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading experts in these areas. .A distinguishing feature of the contributions in this volume is the particular combination of researchers from different fields in mathematics working in an interdisciplinary fashion on joint projects in mathematical system theory. More explicitly, the fields of partial differential equations, semigroup theory, mathematical physics, graph and network theory as well as numerical analysis are all well-represented..
出版日期Conference proceedings 2020
关键词operators on graphs; ; systems theory; control theory; controllability; optimal control problems; stabilit
版次1
doihttps://doi.org/10.1007/978-3-030-35898-3
isbn_softcover978-3-030-35900-3
isbn_ebook978-3-030-35898-3Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Nature Switzerland AG 2020
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Input-to-state stability for parabolic boundary control:linear and semilinear systems,lar the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general L.-input-norms in the linear case and includes extensions of recent results on semilinear equations.
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Null-controllability and control cost estimates for the heat equation on unbounded and large boundeions, respectively spectral inequalities. Then we present an abstract control cost estimate which improves upon earlier results. The latter is particularly interesting when combined with the earlier mentioned spectral inequalities since it yields sharp control cost bounds in several asymptotic regim
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Dichotomous Hamiltonians and Riccati equations for systems with unbounded control and observation oof the associated Hamiltonian operator matrix, two invariant graph subspaces are constructed which yield a nonnegative and a nonpositive solution of the Riccati equation. The boundedness of the nonnegative solution and the exponential stability of the associated feedback system is proved for the cas
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Control Theory of Infinite-Dimensional Systems978-3-030-35898-3Series ISSN 0255-0156 Series E-ISSN 2296-4878
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