Dissipativity analysis of discrete-time interval type-2 fuzzy uncertain singular systems with time-varying delays
The dissipativity analysis of discrete-time interval type-2 fuzzy uncertain singular systems with time-varying delays is investigated.Firstly,considering the uncertainty of the affiliation function,the nonlinear singular system is modelled by using the interval type-2 fuzzy system model.Secondly,based on the Lyapunov stability theory,the Jensen inequality technique is used to deal with the two-fold difference summation term,and the suf-ficient conditions for the dissipation of the discrete-time interval type-2 fuzzy singular time-delay systems with less conservative characteristics are obtained,and this condition is further extended to discrete-time interval type-2 fuzzy uncertain singular time-lag systems.Finally,the validity and correctness of the obtained conclusions are veri-fied by a numerical simulation example.
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