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Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and 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...

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Bibliographic Details
Main Authors: Johnson, Russell, Obaya, Rafael (Author), Novo, Sylvia (Author), Núñez, Carmen (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Developments in Mathematics
Subjects:
Dynamical Systems
Control Theory
Systems Theory, Control
System Theory
Differential Equations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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