  In this work we addressed the problem of stability analysis for an uncertain
piecewise affine model of a genetic regulatory network. In particular we
considered polytopic parameter uncertainties on the proteins production rate
functions, giving conditions for the existence of a piecewise quadratic
Lyapunov function for any possible realization of the system. In the spirit of
other works in literature, the resulting conditions will be given on the
vertices of the parameter polytope, while still taking into consideration the
piecewise nature of the Lyapunov function and the presence, in general, of
sliding modes solutions. An example is shown to prove the validity and
applicability of the theoretical results.
