Computation of lower bounds for the induced ℒ2 norm of LPV systems

DOI10.1002/RNC.3328zbMath1333.93108arXiv1408.6809OpenAlexW1587365104MaRDI QIDQ2798381

Tamás Péni, Peter Seiler

Publication date: 12 April 2016

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

Full work available at URL: https://arxiv.org/abs/1408.6809

zbMATH Keywords

linear parameter-varying systemsinduced \(\mathcal{L}_2\) normperiodic linear time-varying systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Uses Software

• MR and LTV Synthesis Tools

Cites Work

• Unnamed Item
• A lifting technique for linear periodic systems with applications to sampled-data control
• Asynchronous hybrid systems with jumps -- analysis and synthesis methods.
• Computing the \(L_{2}\) gain for linear periodic continuous-time systems
• A generalized LPV system analysis and control synthesis framework
• A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
• A convex characterization of gain-scheduled H/sub ∞/ controllers
• Induced L2-norm control for LPV systems with bounded parameter variation rates
• Research on gain scheduling
• LPV control and full block multipliers

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