Before revision:  We consider finite horizon optimal control to steer the network from an arbitrary initial state, defined in terms of active link set and supply-demand at  nodes, to a feasible state, i.e., a state that is invariant under the failure rule.
After revision:  We consider finite horizon optimal control to steer the network from an arbitrary initial state, defined in terms of active link set and supply-demand at the nodes, to a feasible state, i.e., a state that is invariant under the failure rule.