Worst Exponential Decay Rate for Degenerate Gradient Flows Subject to Persistent Excitation

DOI10.1137/20M1343427zbMath1468.93100arXiv2006.02935OpenAlexW3198513513WikidataQ115525533 ScholiaQ115525533MaRDI QIDQ5012329

Paolo Mason, Dario Prandi, Yacine Chitour

Publication date: 1 September 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02935

zbMATH Keywords

persistent excitationexponential decay rate\(L_2\)-gaindegenerate gradient flows

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20)

Cites Work

• Unnamed Item
• Unnamed Item
• Uniform stabilization for linear systems with persistency of excitation: the neutrally stable and the double integrator cases
• Perturbation theory for linear operators.
• Control theory from the geometric viewpoint.
• On the Stabilization of Persistently Excited Linear Systems
• Digital adaptive filters: Conditions for convergence, rates of convergence, effects of noise and errors arising from the implementation
• Exponential stability of linear equations arising in adaptive identification
• Global Consensus of Time-Varying Multiagent Systems Without Persistent Excitation Assumptions
• Is normalization necessary for stable model reference adaptive control?