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This paper presents a new fuzzy Lyapunov function (FLF) for the stability analysis of continuous-time Takagi–Sugeno (T–S) fuzzy systems. Unlike conventional FLFs, the proposed one depends not only on the fuzzy weighting functions of the T–S fuzzy systems but on their first-order time derivatives as well. Based on the proposed FLF, a sufficient stability condition is derived in the form of linear matrix...
In this paper, stability of continuous-time Takagi-Sugeno (T-S) fuzzy systems is investigated by means of a new fuzzy Lyapunov function which depends on the first-order time-derivative of the fuzzy weighting functions (TDFWF). As a result, both the first and second-order TDFWF appear in the Lyapunov inequality and the stability condition. The additional dependence on the second-order TDFWF makes it...
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