Abstract
Many systems have a hierarchical structure: computer networks, ecological systems, the economy of the European Union. The reason for studying hierarchical systems was that direct computation of optimal control solutions for large-scale systems is a rather difficult and time-consuming job. The hierarchical multilevel theory intends to resolve the discrepancy between the complex requirements of the control process and the restrictions on computer power. Decomposition and co-ordination are tools which are applicable in the hierarchical multilevel theory.