Tractable stability analysis for systems containing repeated scalar slope‐restricted nonlinearities

DOI10.1002/RNC.3122zbMath1312.93085OpenAlexW1877909175MaRDI QIDQ5254122

Matthew C. Turner, Jorge Sofrony, Murray Kerr

Publication date: 8 June 2015

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

Full work available at URL: http://hdl.handle.net/2381/37160

zbMATH Keywords

absolute stabilityintegral quadratic constraintsslope-restricted nonlinearityanti-windupsector bounds

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (1)

Zames-Falb multipliers for absolute stability: from O'Shea's contribution to convex searches

Uses Software

• Unnamed Item
• IQC

Cites Work

• On the Kalman-Yakubovich-Popov lemma
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• All stability multipliers for repeated MIMO nonlinearities
• Zames-Falb multipliers for MIMO nonlinearities
• A robust anti-windup design procedure for SISO systems
• System analysis via integral quadratic constraints
• Multiobjective output-feedback control via LMI optimization
• An absolute stability criterion for the Lur'e problem with sector and slope restricted nonlinearities
• Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities
• Absolute stability criteria for multiple slope-restricted monotonic nonlinearities
• On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities
• All multipliers for repeated monotone nonlinearities
• Stability criteria of sector- and slope-restricted Lur'e systems
• Delay-Integral-Quadratic Constraints and Stability Multipliers for Systems With MIMO Nonlinearities
• Computation of Zames-Falb Multipliers Revisited
• Comments on “On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities”
• gain bounds for systems with sector bounded and slope‐restricted nonlinearities
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• New results for analysis of systems with repeated nonlinearities

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