Real floquet factors of linear time-periodic systems

DOI10.1016/S0167-6911(03)00158-0zbMath1157.93411OpenAlexW1968741076MaRDI QIDQ2503544

Pierre Montagnier, Raymond J. Spiteri, Christopher C. Paige

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(03)00158-0

zbMATH Keywords

FloquetLyapunovMatrix logarithmTime-periodic

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

A generic impulsive controller for Hamiltonian linear time-periodic systems ⋮ A period-specific realization of linear continuous-time systems ⋮ Robust orbital stabilization: A Floquet theory–based approach ⋮ Robustness analysis of linear periodic time-varying systems subject to structured uncertainty ⋮ The control of linear time-periodic systems using Floquet–Lyapunov theory ⋮ Average Floquet factorisations in linear continuous-time periodic systems

Cites Work

• On the assignment of invariant factors by time-varying feedback strategies
• Methods of nonlinear analysis. Vol. 1
• Linear closed-loop control in linear periodic systems with application to spin-stabilized bodies
• A Gramian-Based Controller for Linear Periodic Systems
• On the Existence and Uniqueness of the Real Logarithm of a Matrix
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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