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**Topic under **Control Mode

**Source:** www.nd.edu

**File size:** **264 KB**

**File type:** **pdf**

**Last download on:**
Sat Dec 16, 2017 01:01:09 AM

__Short Desciption__:

1 POLYNOMIAL AND RATIONAL MATRIX INTERPOLATION: THEORY AND CONTROL ...established and it is used in pole assignment and other control problems. ... matrix equations, which appear in the theory of Systems and Control and in ...

__Summary__:

In this paper, a generalization of polynomial interpolation to the matrix case is
introduced and applied to problems in systems and control. It is shown that this
generalization is most general and it includes all other such interpolation schemes that have
appeared in the literature. The polynomial matrix interpolation theory is developed and then
applied to solving matrix equations; solutions to the Diophantine equation are also derived.
The relation between a polynomial matrix and its characteristic values and vectors is
established and it is used in pole assignment and other control problems. Rational matrix
interpolation is discussed; it can be seen as a special case of polynomial matrix
interpolation. It is then used to solve rational matrix equations including the model
matching problem.

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"1 POLYNOMIAL AND RATIONAL MATRIX INTERPOLATION: THEORY AND CONTROL "

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