Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic Systems

DOI10.1137/S0363012900382357zbMath1102.93303OpenAlexW2039292390MaRDI QIDQ4537815

Tomomichi Hagiwara, Jun Zhou

Publication date: 23 June 2002

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012900382357

zbMATH Keywords

existence conditionsfrequency response operatorcontinuous-time periodic system\(H_2\) and \(H_\infty\) norms

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (15)

\(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators ⋮ Implementing the Hamiltonian test for the \(H_{\infty}\) norm in linear continuous-time periodic systems ⋮ Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations ⋮ Phase of linear time-periodic systems ⋮ Optimal approximation of discrete-time multirate systems on Hilbert spaces ⋮ \(\mathcal H_2\) norm of linear time-periodic systems: a perturbation analysis ⋮ Classification and characteristics of Floquet factorisations in linear continuous-time periodic systems ⋮ Stability analysis and stabilization of linear continuous-time periodic systems by variation-of-constant discretization ⋮ Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems ⋮ Parameterised controller synthesis for SISO-LTI uncertain plants using frequency domain information ⋮ Spectral properties and their applications of frequency response operators in linear continuous-time periodic systems ⋮ Harmonic analysis of pulse-width modulated systems ⋮ Linear periodically time-varying scaling and its properties ⋮ Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation ⋮ Linear time-periodic dynamical systems: an H₂ analysis and a model reduction framework

This page was built for publication: Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic Systems