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Structural sensitivity analysis in a certain class of linear systems

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1 Author(s)
Tomasz M. Romanowicz ; 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.

Published in:

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