New delay-dependent stability analysis for fuzzy time-delay interconnected systems
This paper investigates the delay-dependent stability of continuous-time fuzzy interconnected systems with time-varying delays. The fuzzy interconnected system consists of interconnected continuous-time Takagi-Sugeno fuzzy subsystems. A stability criterion based on fuzzy Lyapunov-Krasovskii functional is proposed to guarantee the asymptotic stability of fuzzy time-delay interconnected systems. In the derivation process, some free fuzzy weighting matrices are introduced among the terms of the system equation to yield less conservative results. The proposed stability criterion can be obtained by solving a set of linear matrix inequalities that are numerically feasible. Finally, two numerical examples are provided to demonstrate the effectiveness of the present method.
stability time-delay fuzzy interconnected systems linear matrix inequalities (lmis) takagi-sugeno model