Stability analysis of time-delay singular Markovian jump systems with time-varying switching: The quantized approach

In this paper, the stability problem for a class of time delayed singular Markovian jump systems (SMJSs) with time-varying transition rates is studied. By using the quantized method, the time-varying transition rate matrix (TRM) is quantized into a series of finite TRMs with norm bounded uncertainties, whose difficulties in system analysis are overcome. Then, new criterion for stochastic admissibility analysis for SMJSs with time-varying TRMs is established in terms of LMIs, where both time delay and quantization density are included. Finally, the validity of the theoretical results is shown by a numerical example.