Abstract: Based on piecewise fuzzy Lyapunov function，the properties of fuzzy control systems employing two-over.lapped fuzzy partition inputs are studied，and the notation of maximal overlapped—rule area is also proposed．These new suficient conditions to check the stability of a T-S fuzzy control system are proposed．The conditions require finding a common positive-definite matrix in each maximal overlapped-rule area，which can reduce the conservation and dificulty of former stability analysis approaches．Finally，an example is given to show the approach is effective and advantageous．