Robust stability analysis for T-S fuzzy singular systems with constraints

In this note, the problem of robust stability for uncertain Takagi-Sugeno (T-S) fuzzy singular systems with constraints is considered. Firstly, based on the generalized Lyapunov stability theory and linear matrix inequality LMI technique, a sufficient condition for unconstrained T-S fuzzy singular systems robust stability is got. And then give an ellipse constraint where the initial state to change the time-domain constraints into a group of LMI binding by using elliptic invariant domain and S-Procesure methods, a sufficient condition for system robust stable and satisfying the time-domain constraints has been obtained.