Abstract
Abstract: This paper presents an exponential stability result for mildly nonlinear distributed parameter systems. Given a mildly nonlinear continuous-time infinite-dimensional plant on a Hilbert space and disturbances of known and unknown waveform, we will use this infinite-dimensional Lyapunov-Barbalat Lemma to show that there is an exponentially stabilizing direct adaptive control law with disturbance rejection and robustness properties.
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