Zames–Falb multipliers for convergence rate: motivating example and convex searches

DOI10.1080/00207179.2020.1823484zbMath1485.93463OpenAlexW3092058891MaRDI QIDQ5069015

Peter Seiler, Joaquin Carrasco, Jingfan Zhang

Publication date: 7 April 2022

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

Full work available at URL: https://doi.org/10.1080/00207179.2020.1823484

zbMATH Keywords

integral quadratic constraintexponential convergence rateZames-Falb multipliersKalman conjecture

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25)

Related Items (1)

On the necessity and sufficiency of discrete-time O'Shea-Zames-Falb multipliers

Uses Software

• SDPT3
• CVX

Cites Work

• Unnamed Item
• Solving semidefinite-quadratic-linear programs using SDPT3
• Zames-Falb multipliers for absolute stability: from O'Shea's contribution to convex searches
• Frequency domain criteria for absolute stability. A delay-integral-quadratic constraints approach.
• Second-order counterexamples to the discrete-time Kalman conjecture
• On the Kalman-Yakubovich-Popov lemma
• Exponential Decay Rate Conditions for Uncertain Linear Systems Using Integral Quadratic Constraints
• Analysis and Design of Optimization Algorithms via Integral Quadratic Constraints
• System analysis via integral quadratic constraints
• Analysis of Optimization Algorithms via Integral Quadratic Constraints: Nonstrongly Convex Problems
• Nonlinear Systems Analysis
• Robust and structure exploiting optimisation algorithms: an integral quadratic constraint approach
• Stability Conditions for Systems with Monotone and Slope-Restricted Nonlinearities
• Convex Searches for Discrete-Time Zames–Falb Multipliers

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