Abstract
The fundamental dominance concept is extended to weakly inter-connected block-structured systems. It enables a large system to be approximated by a nominal one such that the stabilisation of the nominal system will be sufficient to ensure the stability of the original one. Then the structure of the nominal system can be exploited by endowing it with certain 'nice' properties, for instance a block diagonal matrix. Hence the fundamental dominance condition enables us to decompose a large system into smaller subsystems which are more practical to handle and has their own local controller. A new design procedure based on a sequential design method is proposed to solve the local controller design problem.
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