| 书目名称 | Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control | | 编辑 | Russell Johnson,Rafael Obaya,Roberta Fabbri | | 视频video | | | 概述 | Provides a detailed study of the concept of rotation and of the solutions.of linear nonautonomous Hamiltonian systems of general dimension.Explores the applications of linear Hamiltonian systems to.qu | | 丛书名称 | Developments in Mathematics | | 图书封面 |  | | 描述 | This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains extensions of results which are well known when the coefficients are autonomous or periodic, as well as in the nonautonomous two-dimensional case. However, a substantial part of the theory presented here is new even in those much simpler situations..The authors make systematic use of basic facts concerning Lagrange planes and symplectic matrices, and apply some fundamental methods of topological dynamics and ergodic theory. Among the tools used in the analysis, which include Lyapunov exponents, Weyl matrices, exponential dichotomy, and weak disconjugacy, a fundamentalrole is played by the rotation number for linear Hamiltonian systems of general dimension. The properties of all these objects form the basis for the study of several themes concerning linear-quadratic control problems, including | | 出版日期 | Book 2016 | | 关键词 | Linear Hamiltonian systems; Nonautonomous systems; Oscillation theory; Control theory; Dissipative syste | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-29025-6 | | isbn_softcover | 978-3-319-80475-0 | | isbn_ebook | 978-3-319-29025-6Series ISSN 1389-2177 Series E-ISSN 2197-795X | | issn_series | 1389-2177 | | copyright | Springer International Publishing Switzerland 2016 |
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书目名称Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control被引频次
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发表于 2025-3-21 17:21:22
