|
|
|
Recent
Issues
|
|
Volume 53
|
1
|
|
|
|
|
Volume 52
|
1
|
2
|
3
|
4
|
|
Volume 51
|
1
|
2
|
3
|
4
|
|
Volume 50
|
1
|
2
|
3
|
4
|
|
Volume 49
|
1
|
2
|
3
|
4
|
|
|
Vietnam
Journal of Mathematics 38:3 (2010) 373-380
|
|
The Structured Controllability Radii of Higher
Order Descriptor Systems
|
|
Nguyen Khoa Son and
Do Duc Thuan
|
|
Abstract. In this paper we formulate some formulas for
computing the controllability radii for higher order descriptor systems
under the assumption that the systems matrices are subjected to structure
perturbations. The proofs are based on the multi-valued generalization of
the classical Eckart-Young theorem which indentifies the distance to
singularity of a non-singular square matrix.
|
|
2000 Mathematics Subject Classification: 06B99, 34D99,
47A10, 65P99.
|
|
Keywords: Multi-valued linear operators, distance
to non-surjectivity, higher order descriptor systems, controllability
radius, structured perturbations.
|
|
|
|
Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
|
|
