H2-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation

DOI10.1080/00207179.2011.634437zbMath1236.93059OpenAlexW1972367889WikidataQ115310229 ScholiaQ115310229MaRDI QIDQ3119155

Hai-Jun Peng, Zhi-Gang Wu, Wan-xie Zhong

Publication date: 7 March 2012

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

Full work available at URL: https://doi.org/10.1080/00207179.2011.634437

zbMATH Keywords

Hamiltonian systemperiodic Lyapunov differential equationtime-varying periodic system\(H_{2}\)-norminterval transition matrix

Mathematics Subject Classification ID

Related Items (6)

Explicit expression-based practical model predictive control implementation for large-scale structures with multi-input delays ⋮ A novel extended precise integration method based on Fourier series expansion for the H₂-norm of linear time-varying periodic systems ⋮ An optimal control approach to spacecraft rendezvous on elliptical orbit ⋮ H∞ norm computation of linear continuous-time periodic systems by a structure-preserving algorithm ⋮ Stabilisation of time-varying linear systems via Lyapunov differential equations ⋮ L_∞andL₂semi-global stabilisation of continuous-time periodic linear systems with bounded controls

Cites Work

• H\(_{2}\) performance of continuous-time periodically time-varying controllers
• The \({\mathcal H}^ 2\) problem for sampled-data systems
• On the implementation of the method of Magnus series for linear differential equations
• \(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators
• Methods for the numerical integration of Hamiltonian systems
• \(\mathcal H_2\) norm of linear time-periodic systems: a perturbation analysis
• A new approach to the discretization of continuous-time controllers
• Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation
• The control of linear time-periodic systems using Floquet–Lyapunov theory
• Frequency response of sampled-data systems
• Geometric Numerical Integration
• The numerical solution of the matrix Riccati differential equation

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