Differentiable structure of the set of controllable (A,B)t-invariant subspaces

Linear Algebra and Its Applications

Volumn 275-276, Issue , 1998, Pages 161-177

  Ferrer, J ^a   Puerta, F ^a   Puerta, X ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032366890     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)10062-3     Document Type: Article

References (10)

1. I. Gohberg, P. Lancaster, L. Rodman, Invariant Subspaces of Matrices with Applications, Wiley, New York, 1986.
2. W.M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer, New York, 1979.
3. J. Ferrer, F. Puerta, Similarity of non-everywhere defined linear maps, Linear Algebra Appl. 168 (1992) 27-55.
4. t-invariant subspaces having extendible Brunovsky bases, Linear Algebra Appl. 255 (1997) 185-201.
5. I. Baragaña, I. Zaballa, Block similarity invariants of restrictions to (A, B)-invariants subspaces, Linear Algebra Appl. 220 (1995) 31-62.
6. M.A. Shayman, On the variety of invariant subspaces of a finite-dimensional linear operator, Trans. AMS 274 (2) (1982) 721-747.
7. J. Ferrer, M.I. García, F. Puerta, Differentiable families of subspaces, Linear Algebra Appl. 199 (1994) 229-252.
8. V.S. Varadarajan, Lie Groups, Lie Algebras and their Representation, Prentice-Hall, Englewood Cliffs, NJ, 1974.
9. R. Abraham, J.E. Marsden, Foundations of Mechanics, Benjamin/Cummings, Menlo Park, CA, 1978.
10. p, SIMAX (To appear).