A note on the equivalence of a strongly convex function and its induced contractive differential equation

DOI10.1016/J.AUTOMATICA.2022.110349zbMath1494.93082OpenAlexW4229042095WikidataQ114204801 ScholiaQ114204801MaRDI QIDQ2151858

Jun Liu, Maxwell Fitzsimmons

Publication date: 5 July 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110349

zbMATH Keywords

convex optimizationLyapunov methodscontraction theory

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• A contractive approach to separable Lyapunov functions for monotone systems
• On partial contraction analysis for coupled nonlinear oscillators
• Control system design for mechanical systems using contraction theory
• Differentially private nonlinear observer design using contraction analysis
• A Lyapunov approach to incremental stability properties
• Contraction Analysis of Time-Delayed Communications and Group Cooperation

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