Strict Lyapunov functions for model-reference adaptive control based on the Mazenc construction

Abstract : We analyze the stability of systems stemming from direct model-reference adaptive control. Although the statements of stability themselves are well-established for many years now, we provide a direct stability analysis both for linear and nonlinear systems under conditions of persistency of excitation. Our proofs are short and constructive as we provide strict Lyapunov functions that have all the required properties as established by Barbashin/Krasovskii's seminal papers on uniform global asymptotic stability.
Document type :
Conference papers
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02367914
Contributor : Antonio Loria <>
Submitted on : Monday, November 18, 2019 - 11:40:00 AM
Last modification on : Wednesday, November 20, 2019 - 1:19:58 AM

Identifiers

  • HAL Id : hal-02367914, version 1

Citation

Antonio Loria, Elena Panteley, Mohamed Maghenem. Strict Lyapunov functions for model-reference adaptive control based on the Mazenc construction. Proc. Congreso Nacional de Control Automático (AMCA), Oct 2019, Puebla, Mexico. ⟨hal-02367914⟩

Share

Metrics

Record views

21