Bursting scenaria in adaptive algorithms: Performance limitations and some remedies

A simple, yet general, bursting scenario is presented for a wide class of parameter estimation and system identification algorithms in the absence of sufficient excitation. This allows for an analytical derivation of a lower bound on the worst-case performance of such algorithms in the presence of perturbations. A simple example is constructed to illustrate the implications of these results in adaptive control and interpret the design some burst suppression mechanisms.