Robust stability and L1-gain analysis of interval positive switched T-S fuzzy systems with mode-dependent dwell time

In this paper, the problems of robust stability and standard L1-gain performance analysis of continuous-time positive switched T-S fuzzy systems with interval uncertainties are first investigated. By utilizing a time-scheduled multiple linear copositive Lyapunov function (TSMLCLF) which is time-varying during the mode-dependent minimum dwell time interval, sufficient conditions of asymptotical stability with standard L1-gain performance of the interval positive switched T-S fuzzy systems with mode-dependent dwell time are derived. All the results in the paper are presented in the form of linear programming. Finally, a numerical example is presented to show the effectiveness of the obtained theoretical results.