Multidomain Optimal Control of Variational Subpotential Mixed Evolution Inclusions

Abstract

Multidomain variational optimal control of evolution mixed subpotential inclusions, are formulated and analyzed, on the basis of a perturbation conjugate duality convex analysis theory developed by the author. For Lagrangian optimality mixed conditions, fixed point existence results are demonstrated with an strongly monotone qualifying condition. Governing multidomain state systems correspond to primal evolution macro-hybrid mixed subpotential problems, whose solvability is similarly achieved. Innovative multidomain optimization existence results of primal, dual, Lagrangian mixed, as well as coupled pair state-control problems are established. Applications to underground macro-hybrid mixed control transport flow processes, illustrate the theory.