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- W2903048278 abstract "This paper is concerned with the stability analysis and $L_{1}$ -gain characterization for positive Takagi–Sugeno fuzzy systems subject to impulse effects. The main tool utilized is the construction of an impulse-time-dependent discretized copositive Lyapunov function where the impulse interval partitioning idea is exploited to derive less conservative results. For the disturbance-free case, stability criteria are developed to guarantee global exponential stability of the concerned systems under ranged and constant dwell-time constraints. The analysis of the influence of the discretizing parameter on the reduction of conservativeness is performed. We further employ the proposed impulse-time-dependent discretized copositive Lyapunov function to analyze the $L_{1}$ -gain performance for the case where external disturbances are considered. By performing a grid search for a scalar in an interval, all the proposed criteria can be checked via linear programming. Finally, numerical simulations are discussed to illustrate the effectiveness of the theoretical results." @default.
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- W2903048278 date "2018-12-01" @default.
- W2903048278 modified "2023-09-27" @default.
- W2903048278 title "Stability and <inline-formula> <tex-math notation=LaTeX>$boldsymbol{L_{1}}$</tex-math> </inline-formula> -Gain Analysis for Positive Takagi–Sugeno Fuzzy Systems With Impulse" @default.
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- W2903048278 doi "https://doi.org/10.1109/tfuzz.2018.2866968" @default.
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