This book is devoted to a study of the oscillation theory of nonautonomous linear Hamiltonian systems and that of a spectral theory adapted to such systems. Some methods of topological dynamics and ergodic theory, including Lyapunov exponents, exponential dichotomies, and rotation numbers are applied to this study. Applications to linear-quadratic control systems with time dependent coefficients are given.
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control / Johnson, Russell; Obaya, Rafael; Novo, Sylvia; Nunez, Carmen; Fabbri, Roberta. - STAMPA. - (2016), pp. 1-497. [10.1007/978-3-319-29025-6]
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control.
JOHNSON, RUSSELL ALLAN
;FABBRI, ROBERTA
2016
Abstract
This book is devoted to a study of the oscillation theory of nonautonomous linear Hamiltonian systems and that of a spectral theory adapted to such systems. Some methods of topological dynamics and ergodic theory, including Lyapunov exponents, exponential dichotomies, and rotation numbers are applied to this study. Applications to linear-quadratic control systems with time dependent coefficients are given.
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