FUNDAMENTAL EQUIVALENCE OF DISCRETE TIME AR REPRESENTATIONS

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FUNDAMENTAL EQUIVALENCE OF DISCRETE TIME AR
REPRESENTATIONS

• A.I.G. Vardulakis and E. Antoniou
• Control Theory Applications Group
• Department of Mathematics
• Aristotle University of Thessaloniki,
• Thessaloniki, Greece.

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• We define when two DTARRs are fundamentally
  equivalent (FE) in terms of their behaviors
• .
• We generalize the concept of strict equivalence
  (SE) of matrix pencils to the case of polynomial
  matrices
• We show that FE of DTARRs implies and is implied
  by the SE of the underling polynomial matrices.

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