Asymptotic controllability for infinite dimensional impulsive action equations (Q2706038)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic controllability for infinite dimensional impulsive action equations |
scientific article |
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26 March 2001
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controlled impulsive equations
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stabilizability
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asymptotic stability
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closed generator
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Asymptotic controllability for infinite dimensional impulsive action equations (English)
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The author deals with controlled equations having impulsive solutions in Banach spaces. It is considered the problem NEWLINE\[NEWLINE\dot v (t)=Av(t)+f(t), \quad f \in G^-([0,\infty), D_{G_r(A)}), \qquad v(0)=x\in X,NEWLINE\]NEWLINE NEWLINE\[NEWLINE\langle Q\rangle: v(t_n+)=Q_nv(t_n), \quad n\geq 0,NEWLINE\]NEWLINE where \(A\) is a linear continuous operator on a Banach space \(X\). A result connected asymptotic stability and stabilizability is shown.
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0.8094692230224609
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0.8021735548973083
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0.8018282651901245
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