Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation

DOI10.1080/0020717031000091441zbMath1040.93028OpenAlexW1974027504MaRDI QIDQ4460521

Tomomichi Hagiwara, Jun Zhou, Mituhiko Araki

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1080/0020717031000091441

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Linear-quadratic optimal control problems (49N10)

Related Items (6)

Turbulence suppression in channel flows by small amplitude transverse wall oscillations ⋮ Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations ⋮ \(\mathcal H_2\) norm of linear time-periodic systems: a perturbation analysis ⋮ A novel extended precise integration method based on Fourier series expansion for the H₂-norm of linear time-varying periodic systems ⋮ Using the Fredholm resolvent for computing the ℋ₂-norm of linear periodic systems ⋮ H₂-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation

Cites Work

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• H\(_{2}\) performance of continuous-time periodically time-varying controllers
• The \({\mathcal H}^ 2\) problem for sampled-data systems
• Approximation of frequency response for sampled-data control systems
• Classes of linear operators. Vol. II
• \(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators
• Differential equations. Classical to controlled
• Optimal sampled-data control systems
• Frequency response of sampled-data systems
• Differential equations: Stability, oscillations, time lags
• Some analysis methods for rotating systems with periodic coefficients
• The Periodic Lyapunov Equation
• A new approach to the discretization of continuous-time controllers
• A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
• Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic Systems
• FR-operator approach to the H/sub 2/ analysis and synthesis of sampled-data systems
• Frequency response of sampled-data systems
• Input-output stability of sampled-data systems
• Stability analysis of continuous-time periodic systems via the harmonic analysis
• On monodromy matrix computation

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