Robust stability of linear, discrete-time systems subject to time-varying, bounded rate parameters

In this paper we deal with the robust stability problem for linear, discrete-time systems subject to uncertain, time-varying parameters. The novelty with respect to previous papers is that bounded rate parameters are considered. We provide three alternative sufficient conditions for stability; the first two conditions work only for systems depending on one parameter, while the third one can be extended to the multi-parameter case. An example is provided to make a benchmark between the proposed robust stability analysis methods.