| Coprimeness Conditions For Pseudorational Transfer Functions (2007) | |||||||||||||||
Abstract | |||||||||||||||
| Coprimeness conditions play important roles in various aspects of system/control theory: realization, controllability, stabilization, just to name a few. While the issue is now well understood for finite-dimensional systems, it is far from being settled for infinite-dimensional systems. This is due to a wide variety of situations in which this issue occurs, and several variants of coprimeness notions, which are equivalent in the finite-dimensional context, turn out to be non-equivalent. This paper studies the notions of spectral, approximate and exact coprimeness for pseudorational transfer functions. A condition is given under which these notions coincide. 1 | |||||||||||||||
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