Mediterranean Journal of Mathematics

, 6:471

A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

Authors

    • Departament de Matemàtica Aplicada IUniversitat Politècnica de Catalunya
  • Ferran Puerta
    • Departament de Matemàtica Aplicada IUniversitat Politècnica de Catalunya
  • Xavier Puerta
    • Departament de Matemàtica Aplicada IUniversitat Politècnica de Catalunya
Article

DOI: 10.1007/s00009-009-0019-2

Cite this article as:
Peña, M., Puerta, F. & Puerta, X. Mediterr. J. Math. (2009) 6: 471. doi:10.1007/s00009-009-0019-2

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)

58K2558D15

Keywords

(A, B)-invariant subspaceLipschitz stabilityGrassmann manifold
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© Birkhäuser Verlag Basel/Switzerland 2009