Lyapunov stability of quasilinear implicit dynamic equations on time scales.

Du, N.H.; Liem, N.C.; Chyan, C.J.; Lin, S.W.

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This paper presents a research effort focused on the problem of robust stability of the closed-loop adaptive system. It is aimed at providing a general framework for the investigation of continuous-time, state-space systems required to track a (stable) reference model. This is motivated by the model reference adaptive control (MRAC) scheme, traditionally considered in such a setting. The application of differential inequlities results to the analysis of the Lyapunov stability for a class...