On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations.
J Dyn Control Syst
; 29(3): 595-605, 2023.
Article
en En
| MEDLINE
| ID: mdl-37745007
ABSTRACT
In this work, the null controllability problem for a linear system in â2 is considered, where the matrix of a linear operator describing the system is an infinite matrix with λ∈â 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 â∞ is not asymptotically stable if λ = - 1.
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01-internacional
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MEDLINE
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En
Revista:
J Dyn Control Syst
Año:
2023
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Article