Strict Lyapunov Functions for Model-Reference Adaptive Control Based on the Mazenc Construction

Resumen: 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.

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Antonio Loría, Elena Panteley & Mohamed Maghenem. Strict Lyapunov Functions for Model-Reference Adaptive Control Based on the Mazenc Construction. Memorias del Congreso Nacional de Control Automático, pp. 407-412, 2019.

Palabras clave

Sistemas Adaptables, Control de Sistemas Lineales, Control de Sistemas No Lineales

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