This paper addresses the issue of stability of a fuzzy system described by
fuzzy rules with singleton consequents. It first presents two canonical for
ms of a fuzzy system: a parametric expression and a state-space expression.
A fuzzy system with singleton consequents is found to be a piecewise-polyt
opic-affine system. Then this paper gives stability theorems for a discrete
-time system as well as for a continuous time system. It also gives a brief
survey on the stability issues of fuzzy control systems.