Robust stabilization for continuous-time systems with slowly time-varying uncertain real parameters

The authors construct a class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalize the multivariable Popov criterion are also considered. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters.