Classification and characteristics of Floquet factorisations in linear continuous-time periodic systems

DOI10.1080/00207170701810709zbMath1158.34328OpenAlexW2100485044MaRDI QIDQ3536493

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Publication date: 21 November 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/85332

zbMATH Keywords

reducibilitycommutativitysimplicitymatrix logarithmFloquet factorisation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (12)

Stability and stabilization of linear periodic systems: a commutator calculus approach ⋮ Robust orbital stabilization: A Floquet theory–based approach ⋮ Robust time-weighted guaranteed cost control of uncertain periodic piecewise linear systems ⋮ Pointwise frequency responses framework for stability analysis in periodically time-varying systems ⋮ A novel \(H_\infty\) tracking control scheme for periodic piecewise time-varying systems ⋮ Stability analysis and stabilization of linear continuous-time periodic systems by variation-of-constant discretization ⋮ Stability and stabilization of periodic piecewise linear systems: a matrix polynomial approach ⋮ Controllability discrepancy and irreducibility/reducibility of Floquet factorisations in linear continuous-time periodic systems ⋮ \(H_\infty\) control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function ⋮ Average Floquet factorisations in linear continuous-time periodic systems ⋮ L_∞andL₂semi-global stabilisation of continuous-time periodic linear systems with bounded controls ⋮ Non-fragile H_∞ control of periodic piecewise time-varying systems based on matrix polynomial approach

Cites Work

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• Analysis of periodically time-varying systems
• Some analysis methods for rotating systems with periodic coefficients
• Matrix Analysis
• Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic Systems
• The control of linear time-periodic systems using Floquet–Lyapunov theory
• Stability analysis of continuous-time periodic systems via the harmonic analysis
• A Gramian-Based Controller for Linear Periodic Systems
• A Harmonic Framework for Controllability in Linear Continuous‐Time Periodic Systems
• 2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its Implementation

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