\( \mathcal{L}_2\)-incremental gain stability of linear systems with nonlinear Lipschitz actuator

DOI10.1016/j.sysconle.2020.104846zbMath1454.93212OpenAlexW3112194445MaRDI QIDQ826851

Mohsen Ghodrat, Horacio J. Marquez

Publication date: 6 January 2021

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2020.104846

zbMATH Keywords

nonlinear controlactuator saturationincremental stability

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)

Cites Work

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• Incremental gain analysis of piecewise linear systems and application to the antiwindup problem
• Incremental \(\mathcal{L}_2\)-gain stability of piecewise-affine systems with piecewise-polynomial storage functions
• On the Local Input–Output Stability of Event-Triggered Control Systems
• Luenberger Observers for Nonautonomous Nonlinear Systems
• On State Observers for Nonlinear Systems: A New Design and a Unifying Framework
• On the continuity and incremental‐gain properties of certain saturated linear feedback loops
• Event-Triggered Design With Guaranteed Minimum Interevent Times and $\mathcal {L}_p$ Performance
• Robust nonlinear H_∞ control based on the incremental gain
• Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks
• On convergence properties of piecewise affine systems
• On the Event-Triggered Controller Design
• The weighted incremental norm approach: From linear to nonlinear \(H_\infty\) control

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