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Wang, Likui; Lam, Hak-Keung
IEEE transactions on cybernetics, 04/2019, Volume: 49, Issue: 4Journal Article
In this technical paper, a new Lyapunov-Krasovskii functional (LKF) is designed to study the stability of continuous-time Takagi-Sugeno fuzzy systems with time-varying delay. The integrand of the LKF depends on integral variable and time <inline-formula> <tex-math notation="LaTeX">{t} </tex-math></inline-formula> which can help to reduce the number of linear matrix inequalities (LMIs). Then, a new stability criterion is derived by analyzing the sign of the time derivatives of membership functions. Compared with the existing results, larger delay bounds can be obtained by applying the new criterion. In the end, two examples show the effectiveness of the conclusions.
