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On the use of right-coprime factorizations in distributed feedback systems containing unstable subsystems

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1 Author(s)

In this paper, we prove that every rational transfer function matrix has a right-coprime factorization in{cal Q}^{n times n}, and that a right-coprime factorization contains all the information about the domain and range of an unstable operator. We also derive a general necessary and sufficient condition for feedback stability that is applicable even to nonlinear systems, and show that right-coprime factorizations arise naturally when this general condition is applied to linear time-invariant systems.

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Circuits and Systems, IEEE Transactions on  (Volume:25 ,  Issue: 11 )