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Signal-flow graphs: direct method of reduction and MATLAB implementation

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3 Author(s)
Teixeira, M.C.M. ; Dept. of Electr. Eng., UNESP, Brazil ; Marchesi, H.F. ; Assuncao, E.

Block diagrams and signal-flow graphs are used to represent and to obtain the transfer function of interconnected systems. The reduction of signal-flow graphs is considered simpler than the reduction of block diagrams for systems with complex interrelationships. Signal-flow graphs reduction can be made without graphic manipulations of diagrams, and it is attractive for a computational implementation. In this paper, the authors propose a computational method for direct reduction of signal-flow graphs. This method uses results presented in this paper about the calculation of literal determinants without symbolic mathematics tools. The Cramer's rule is applied for the solution of a set of linear equations. A program in MATLAB language for reduction of signal-flow graphs with the proposed method is presented

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Education, IEEE Transactions on  (Volume:44 ,  Issue: 2 )