Compatible Versus Regular Well-Posed Linear Systems
نویسنده
چکیده
We discuss different regularity notions for Lp-wellposed linear systems with 1 p < ∞: – compatibility in the sense of Helton (1976), – weak regularity in the sense of Weiss and Weiss (1997) or Staffans and Weiss (2000), – strong regularity in the sense of Weiss (1994a), – uniform regularity in the sense of Helton (1976) and Ober and Wu (1996). Compatibility is the minimal assumption if we want to describe the input-state-output behavior of a wellposed linear system in the standard differential form x0(t) = Ax(t)+Bu(t); y(t) =Cx(t)+Du(t); t 0; x(0) = x0: (1)
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