Robust stability results for nonlinear Markovian jump systems with mode-dependent time-varying delays and randomly occurring uncertainties

摘要

This article is concerned with the robust stability analysis for Markovian jump systems with mode-dependent time-varying delays and randomly occurring uncertainties. Sufficient delay-dependent stability results are derived with the help of stability theory and linear matrix inequality technique using direct delay-decomposition approach. Here, the delay interval is decomposed into two subintervals using the tuning parameter such that 01, and the sufficient stability conditions are derived for each subintervals. Further, the parameter uncertainties are assumed to be occurring in a random manner. Numerical examples are given to validate the derived theoretical results. (c) 2015 Wiley Periodicals, Inc. Complexity 21: 50-60, 2016