| Autor: |
Azamov, Abdulla, Ibragimov, Gafurjan, Mamayusupov, Khudoyor, Ruziboev, Marks |
| Předmět: |
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| Zdroj: |
Journal of Dynamical & Control Systems; Sep2023, Vol. 29 Issue 3, p595-605, 11p |
| Abstrakt: |
In this work, the null controllability problem for a linear system in ℓ2 is considered, where the matrix of a linear operator describing the system is an infinite matrix with λ ∈ ℝ on the main diagonal and 1s above it. We show that the system is asymptotically stable if and only if λ ≤− 1, which shows the fine difference between the finite and the infinite-dimensional systems. When λ ≤− 1 we also show that the system is null controllable in large. Further we show a dependence of the stability on the norm, i.e. the same system considered ℓ ∞ is not asymptotically stable if λ = − 1. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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