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Minimal dimension inverses of linear sequential circuits

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1 Author(s)
Fu-Min Yuan ; Universtiy of Notre Dame, Notre Dame

The concept of an elementary null sequence of a linear sequential circuit is introduced. Its properties are used to formulate a necessary and sufficient condition for the invertibility of a linear sequential circuit and to determine the minimal dimension of an L -delay inverse. A general method is given for constructing a minimal dimension inverse which utilizes the state description of the original linear sequential circuit and which applies whenever L = 0 or whenever the next-state map of the linear sequential circuit (LSC) is onto.

Published in:

Automatic Control, IEEE Transactions on  (Volume:20 ,  Issue: 1 )