Christopher Game: This is what Lavenda says on page 65:
Consequentely, Prigogine formulation of the principle of minimum entropy production is valid only for small displacements from equilibrium
Lavenda is not saying that the theorem is not valid, but that only applies to linear nonequilibrium regimes. As I said, and you quote, “Any presentation of the Prigogine theorem that I know emphasizes that its validity is restricted to linear nonequilibrium thermodynamics where the Onsager relations hold.”
Precisely, the section “17.2 The theorem of minimum entropy production” in Kondepudi and Prigogine book is found in the chapter “17 Nonequilibrium stationary states and their stability: linear regime”.
What is the problem?