Abstract
Let P be a complex polynomial. We prove that the associated polynomial matrixvalued function P is surjective if for each γ ϵ C the polynomial P - γ has at least a simple zero. The null controllability for difference and differential matrix equations is also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 419-424 |
| Number of pages | 6 |
| Journal | Surveys in Mathematics and its Applications |
| Volume | 15 |
| Publication status | Published - 2020 |
Keywords
- Difference and differential equations
- Functional calculus
- Matrices
- Null controllability
- Polynomials of matrices