Abstract: Making full use of the structural properties, the robust stability of a class of uncertain nonlinear switched systems is derived from the stability of every part of their nominal systems. When there are common Lyapunov functions found in both the linear parts and zero dynamics of the nominal systems, the robust stability of the systems available to arbitrary switching can be obtained by way of constructing a common Lyapunov function relying on uncertain parameters. Furthermore, when no subsystems of linear parts and zero dynamics are asymptotically stable in the nominal systems, the sufficient conditions ensuring the robust stability of such systems are given by designing a certain switching law through convex combination.