On a stability criterion for continuous slow adaptation

DOI10.1016/0167-6911(85)90047-7zbMath0569.93050OpenAlexW2078201386MaRDI QIDQ1061701

B. Riedle, Petar V. Kokotovic, Laurent Praly

Publication date: 1985

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90047-7

zbMATH Keywords

adaptive controllinear system with periodic coefficientsexponential stability and unstability

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Linear systems in control theory (93C05) Averaging method for ordinary differential equations (34C29) Singular perturbations of ordinary differential equations (34D15) Stability of control systems (93D99)

Related Items (11)

On the stability of continuous-time adaptive controllers for pure delay systems ⋮ An adaptive control algorithm for linear systems having unknown time delay ⋮ A design scheme of variable structure adaptive control for uncertain dynamic systems ⋮ Persistent excitation in adaptive systems ⋮ A new robust MRAC using variable structure design for relative degree two plants ⋮ Examination of the SPR condition in output error parameter estimation ⋮ Robustness of adaptive controllers - a survey ⋮ New approach to robust model reference adaptive control for a class of plants ⋮ On periodic solutions of adaptive systems in the presence of periodic forcing terms ⋮ Global and local stability properties of a non-SPR output error estimator ⋮ Unmodeled dynamics in adaptive control systems revisited

Cites Work

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• Some design guidelines for discrete-time adaptive controllers
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• An asymptotic error analysis of identifiers and adaptive observers in the presence of parasitics
• Exponential stability of linear equations arising in adaptive identification
• Probing signals for model reference identification
• On the Uniform Asymptotic Stability of Certain Linear Nonautonomous Differential Equations
• On the Stability of Nonautonomous Differential Equations $\dot x = [A + B(t)x$, with Skew Symmetric Matrix $B(t)$]

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