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On the Control of Moving Sets: Positive and Negative Confinement Results

Авторы: Colombo R.M., Pogodaev N.

Журнал: SIAM J. Control Optimization

Том: 51

Номер: 1

Год: 2013

Отчётный год: 2013


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Аннотация: We consider a few individuals whose task is to confine a moving population. This is a control problem where the state to be controlled is a compact subset of R-n. We first prove a negative result on the impossibility of confinement, a key assumption being a sufficiently large initial volume. Then a positive result is also provided through the construction of a confining control, when the initial set has a suitable diameter. Numerical integrations show possible behaviors when the above results do not apply.

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