Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
HC runder Rücken kaschiert
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
114,89 €*
Alle Preise inkl. MwSt.|Versandkostenfrei
ISBN-13:
9783319290232
Veröffentl:
2016
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
26.03.2016
Seiten:
520
Autor:
Russell Johnson
Gewicht:
939 g
Format:
241x160x34 mm
Serie:
36, Developments in Mathematics
Sprache:
Englisch
Beschreibung:
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.
Provides a detailed study of the concept of rotation and of the solutions
Nonautonomouslinear Hamiltonian systems.- The rotation number and the Lyapunov index forreal nonautonomous linear Hamiltonian systems.- The Floquet coeffcient fornonautonomous linear Hamiltonian systems: Atkinson problems.- The Weylfunctions.- Weak disconjugacy for linear Hamiltonian systems.- Nonautonomouscontrol theory. Linear regulator problem and the Kalman-Bucy filter.Nonautonomous control theory. A general version of the Yakubovich FrequencyTheorem.- Nonautonomous control theory. Linear-quadratic dissipative controlprocesses.- Index.- References
Kunden Rezensionen
Mehr zum Thema
Folgen Sie uns auf:
