\(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators

DOI10.1016/S0005-1098(02)00038-9zbMath1044.93020OpenAlexW2028791438MaRDI QIDQ1614403

Tomomichi Hagiwara, Jun Zhou

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(02)00038-9

zbMATH Keywords

algorithmmaximum singular value\(H_{2}\) and \(H_{\infty}\) normsContinuous-time periodic systemsFrequency response operatorHamiltonian testSkew truncation

Mathematics Subject Classification ID

(H^infty)-control (93B36) Frequency-response methods in control theory (93C80)

Related Items (15)

Implementing the Hamiltonian test for the \(H_{\infty}\) norm in linear continuous-time periodic systems ⋮ Computing the \(L_{2}\) gain for linear periodic continuous-time systems ⋮ Transfer matrices and statistical analysis of sampled-data systems with continuous periodic processes ⋮ Transfer matrices and advanced statistical analysis of digital controlled continuous-time periodic processes with delay ⋮ Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations ⋮ Mean resolvent operator of a statistically steady flow ⋮ A novel extended precise integration method based on Fourier series expansion for the H₂-norm of linear time-varying periodic systems ⋮ Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems ⋮ Using the Fredholm resolvent for computing the ℋ₂-norm of linear periodic systems ⋮ Spectral properties and their applications of frequency response operators in linear continuous-time periodic systems ⋮ Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation ⋮ H₂-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation ⋮ Linear time-periodic dynamical systems: an H₂ analysis and a model reduction framework ⋮ H∞ norm computation of linear continuous-time periodic systems by a structure-preserving algorithm ⋮ Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L₁-gain andL_∞-gain characterization

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