Correspondence item: Inversion of a dynamical system by an operator identity

  • Authors:
  • Per Hagander

  • Affiliations:
  • -

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1972

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Abstract

Inversion of a linear dynamical system is shown to be an operator equivalence to the well-known matrix lemma: (D + CLB)^-^1 = [D^-^1 - D^-^1C(L^-^1 + BD^-^1C)^-^1BD^-^1]