Robust adaptive control of time varying systems

This paper extends the results of Kosut and Friedlander [1] and Kosut [2] in that robust stability results for direct adaptive control algorithms for linear time invariant finite dimensional systems with unstructured time varying uncertainties are developed, in the first main theorem results for the global L2 stability of the adaptive scheme are presented, and in the second results concerning the L2 and L?? stability of the scheme are given.