Floquet factorization algorithms in linear continuous-time periodic systems

Jun Zhou · SICE Annual Conference 2007 · 2007

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Type: article
Published: 2007-09-01
Cited by: 1
References: 19
DOI: https://doi.org/10.1109/sice.2007.4421497
OpenAlex: https://openalex.org/W2091536355
Semantic Scholar: https://api.semanticscholar.org/CorpusID:39746308

Keywords

Floquet theory, Factorization, Logarithm, Algorithm, Matrix decomposition

References

Industrial Control Systems DesignM.J. Grimble — 1994
Analysis and control of linear periodically time varying systemsNorman M. Wereley — 1990
The technical writer's handbook : writing with style and clarityMatt Young — 1989
Real Floquet factors of linear time-periodic systemsPierre Montagnier, Christopher C. Paige, Raymond J. Spiteri — 2003
Ordinary Differential Equations.Ray Redheffer, Jack K. Hale — 1971
The control of linear time-periodic systems using Floquet–Lyapunov theoryPierre Montagnier, Raymond J. Spiteri, Jorge Angeles — 2004
A Harmonic Framework for Controllability in Linear Continuous-Time Periodic SystemsJun Zhou — 2007
2-Regularized Nyquist Criterion in Linear Continuous-Time Periodic Systems and Its ImplementationJun Zhou, Tomomichi Hagiwara — 2005
A Gramian-based controller for linear periodic systemsPierre Montagnier, Raymond J. Spiteri — 2004
Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic SystemsJun Zhou, Tomomichi Hagiwara — 2001
Differential Equations: Stability, Oscillations, Time LagsH. A. Antosiewicz, A. Halanay — 1967
Theory of Ordinary Differential EquationsEarl A. Coddington, Norman Levinson, T. Teichmann — 1955
Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systemsJun Zhou, Tomomichi Hagiwara, Mituhiko Araki — 2004
Some analysis methods for rotating systems with periodic coefficientsJohn Dugundji, John H. Wendell — 1983
On the existence and uniqueness of the real logarithm of a matrixWalter J. Culver — 1966
Periodic MotionsM. Farkas — 1994
Matrix analysisRoger A. Horn, Charles R. Johnson — 1985
Ordinary Differential Equations,Hale, Jack K. 1928-2009 — 1969
Theory of ordinary differential equationsCoddington, Earl A, 1920-1991, Levinson, Norman, 1912-1975 — 1955
Differential Equations Classical to Controlled1982

Cited by

Floquet transformations for discrete-time systems: Equivalence between periodic systems and time-invariant onesYoshikazu Hayakawa, T. Jimbo — 2008

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