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

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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… Click to show full abstract

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.

Keywords: mode dependent; fuzzy systems; time; positive switched; dwell time; switched fuzzy

Journal Title: Neurocomputing
Year Published: 2017

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