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Structural sensitivity analysis in a certain class of linear systems

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1 Author(s)
Romanowicz, T.M. ; Systems Res. Inst., Polish Acad. of Sci., Warsaw, Poland

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.

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Systems, Man and Cybernetics, IEEE Transactions on  (Volume:SMC-13 ,  Issue: 3 )