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Controllability for a scalar conservation law with nonlocal velocity - MaRDI portal

Controllability for a scalar conservation law with nonlocal velocity (Q649752)

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scientific article; zbMATH DE number 5986509
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Controllability for a scalar conservation law with nonlocal velocity
scientific article; zbMATH DE number 5986509

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    Controllability for a scalar conservation law with nonlocal velocity (English)
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    6 December 2011
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    The authors study the state controllability and nodal profile controllability for a scalar conservation law with a nonlocal velocity, that models a highly re-entrant manufacturing system as encountered in semiconductor production. They first prove a local state controllability result, i.e., there exists a control that drives the solution from any given initial data to any desired final data in a certain time period, provided that the initial and final data are both close to a given nonnegative equilibrium. They also obtain a global state controllability result for the same system, where there is no limitation on the distance between the initial and final data. Finally, they prove a nodal profile controllability result, i.e., there exists a control under which the solution starts from any initial data reaches exactly any given out-flux over a fixed time period.
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    state controllability
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    nodal profile controllability
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    re-entrant manufacturing system
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