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It is well-known that many systems can be modelled as a set of linear algebraic equations. Such a set of equations can be represented by a directed graph, the so-called signal flowgraph (SFG). Using the concept of directed graph decomposition into irreducible subgraphs, which represent irreducible subsystems, it can be shown that the sensitivity of a solution to the changes of the system parameters strongly depends upon the internal structure of the system, as well as on the position of the changing parameters in the structure.
Systems, Man and Cybernetics, IEEE Transactions on (Volume:SMC-13 , Issue: 3 )
Date of Publication: May-June 1983