On the semicontinuity properties of the attainable sets of control systems with controls in \(L_p\) (Q928607)
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scientific article; zbMATH DE number 5287442
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the semicontinuity properties of the attainable sets of control systems with controls in \(L_p\) |
scientific article; zbMATH DE number 5287442 |
Statements
On the semicontinuity properties of the attainable sets of control systems with controls in \(L_p\) (English)
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11 June 2008
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Summary: The properties of attainable sets of control systems with integral constraints on control are studied. The admissible control functions are chosen from the ball centered at the origin and of radius \(\mu_0\) in \(L_p\), \(p>1\). It is proved that the attainable sets of the system at the fixed instant of time are left side lower semicontinuous and right side upper semicontinuous with respect to \(p\).
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control system
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attainable set
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integral constraint
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