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Control Problems for Nonlinear Hyperbolic Equations

Authors: ANCONA, FABIO;

Control Problems for Nonlinear Hyperbolic Equations

Abstract

Abstract. The talk is concerned with the effect of boundary conditions on the solution of an hyperbolic system of conservation laws in one-space variable, from the point of view of control theory, where one assumes that the evolution of the system can be affected by an external controller acting through the boundary conditions and thus regards the boundary data (or a partial number of their components) as boundary input controls. In the talk are discussed some results concerning the finite time exact controllability and the asymptotic stabilizzability of a first order hyperbolic system relative to general boundary conditions. Moreover, it is addressed the problem of determining an optimal solution of an hyperbolic system of balance laws relative to certain classes of cost functionals with boundary or distributed controls.

Country
Italy
Keywords

CONTROL PROBLEMS FOR HYPERBOLIC EQUATIONS; CONTROLLABILITY; STABILIZZABILITY; CONSERVATION LAWS

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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