Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control

• Main Authors: Johnson, Russell (Author), Obaya, Rafael (Author), Novo, Sylvia (Author), Núñez, Carmen (Author), Fabbri, Roberta (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Developments in Mathematics, 36
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Differential equations.; System theory.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Systems Theory, Control.

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 o...

Table of Contents:

• Nonautonomous linear Hamiltonian systems
• The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems
• The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems
• The Weyl functions
• Weak disconjugacy for linear Hamiltonian systems
• Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter
• Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem
• Nonautonomous control theory. Linear-quadratic dissipative control processes
• Index
• References.