A 2D Invariant System Description for Doubly Periodic 2D Systems

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Abstract

In this paper the well-known 1D lifting isomorphism from periodic systems to invariant ones is extended to 2D case. Controllability and reconstructibility of periodic 2D systems are then defined in terms of invariant associated system. Some examples are presented to illustrate the key feature of periodic controllers weak causality which has no counterpart in the invariant case.

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