  Copositive linear Lyapunov functions are used along with dissipativity theory
for stability analysis and control of uncertain linear positive systems. Unlike
usual results on linear systems, linear supply-rates are employed here for
robustness and performance analysis using L1- and Linfinity-gains. Robust
stability analysis is performed using Integral Linear Constraints (ILCs) for
which several classes of uncertainties are discussed. The approach is then
extended to robust stabilization and performance optimization. The obtained
results are expressed in terms of robust linear programming problems that are
equivalently turned into finite dimensional ones using Handelman's Theorem.
Several examples are provided for illustration.
