Finite-time stability for switching T-S fuzzy systems with time-varying delay

This paper is concerned with the problem of delay-dependent finite-time stability (FTS) of switching T-S fuzzy systems with time-varying delay. The piecewise time-varying Lyapunov functional is constructed to eliminate the “jump” phenomenon of adjacent Lyapunov functions at switching times. Then, new delay-dependent finite-time stability conditions for switching T-S fuzzy systems are derived. Finally, an example is provided to illustrate the effectiveness of the proposed design approach.