Article

Mediterranean Journal of Mathematics

, Volume 6, Issue 4, pp 471-481

A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

  • Marta PeñaAffiliated withDepartament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya Email author 
  • , Ferran PuertaAffiliated withDepartament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya
  • , Xavier PuertaAffiliated withDepartament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya

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Abstract

Given a pair of matrices (A, B) we study the Lipschitz stability of its controlled invariant subspaces. A sufficient condition is derived from the geometry of the set formed by the quadruples (A, B, F, S) where S is an (A, B)-invariant subspace and F a corresponding feedback.

Mathematics Subject Classification (2000)

58K25 58D15

Keywords

(A, B)-invariant subspace Lipschitz stability Grassmann manifold