Exponential stability and stabilisation of fuzzy time-varying delay systems
This article presents new exponential stability and stabilisation conditions for Takagi-Sugeno fuzzy time-varying delay systems. Based on an improved Lyapunov-Krasovskii functional, the exponential stability and stabilisation conditions are derived in terms of linear matrix inequalities, which allows one to compute simultaneously the two bounds that characterise the exponential stability rate of the solution. Finally, some numerical examples are given to illustrate the effectiveness of the proposed conditions.
exponential stability stabilisation linear matrix inequalities time-delay systems takagi-sugeno model fuzzy control