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Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control free ebook download

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Mathematics

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Catalogue

Author(s):	Russell Johnson, Rafael Obaya, Sylvia Novo

Date:	2017	Format:	EPUB, PDF (reup)	Language:	English	ISBN/ASIN:	3319290231
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	12/26/2018 10:04:03 PM

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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 fundamental role 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 the linear regulator property, the Kalman-Bucy filter, the infinite-horizon optimization problem, the nonautonomous version of the Yakubovich Frequency Theorem, and dissipativity in the Willems sense. The book will be useful for graduate students and researchers interested in nonautonomous differential equations  dynamical systems and ergodic theory  spectral theory of differential operators  and control theory.

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2372102	Book	http://k2s.cc/file/b7741ccccbb7f/3319290...		17.00	gestalt

Tags: Control Hamiltonian Linear Nonautonomous Oscillation Spectral Systems Theory

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Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics