On the reticulation problem in multivariable control systems

The problem of reticulating (partitioning) a multivariable control problem is investigated. An iterative process is suggested, where each subprogram is solved successively under the conditions imposed by the solutions of the other subproblems through the interactions of the original control problem. For a special case, it is shown that the rate of convergence of this process is a function of how the reticulation is made. This yields a quantitative measure of reticulating which is then used to determine the optimal reticulation.