Robust stability analysis of Markov jump standard genetic regulatory networks with mixed time delays and uncertainties

摘要: This paper concerns the robust stability analysis problems for a class of nonlinear Markov jump standard genetic regulatory networks with mixed time-varying delays and parameter uncertainties. The model is constructed via recurrent neural networks. function assumed to satisfy sector condition, each in has its own expression form. mean that discrete distributed are considered simultaneously. Based on linear matrix inequality techniques, sufficient conditions underlying systems first derived by using conventional approach area time-delay systems. Also, ''delay decomposition'' further utilized so as improve analytical results. Two numerical examples exploited verify obtained theoretical findings.