Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems

DOI10.1016/j.sysconle.2004.03.002zbMath1157.93352OpenAlexW2093036603MaRDI QIDQ2503652

Jun Zhou, Tomomichi Hagiwara, Mituhiko Araki

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/j.sysconle.2004.03.002

zbMATH Keywords

SpectrumFredholm operatorStabilityEigenvalue computationPeriodic

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Operator-theoretic methods (93B28) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Adjoint-based sensitivity analysis of periodic orbits by the Fourier-Galerkin method ⋮ On the convergence of Hill’s method ⋮ Spectral properties and their applications of frequency response operators in linear continuous-time periodic systems ⋮ A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems ⋮ Average Floquet factorisations in linear continuous-time periodic systems ⋮ Linear time-periodic dynamical systems: an H₂ analysis and a model reduction framework

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