Abstract
Related to the error dynamics of an adaptive system, averaging theorems are developed for coupled differential equations which consist of ordinary differential equations and a parabolic partial differential equation. The results are then applied to the convergence analysis of the parameter estimate errors in the model reference adaptive control of a nonautonomous parabolic partial differential equation with lowly time-varying parameters.
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Hong, KS., Yang, KJ. & Kang, DH. Model reference adaptive control of a time-varying parabolic system. KSME International Journal 14, 168–176 (2000). https://doi.org/10.1007/BF03184783
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DOI: https://doi.org/10.1007/BF03184783