Boundary value problem for multivalued differential equations and controllability |
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Authors: | Giuseppe Anichini |
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Affiliation: | Istituto Matematico “U. Dini,” Viale Morgagni 67/A, 50134 Firenze, Italy |
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Abstract: | Control process of the type x = f(t, x, u), u?U(t, x), can be deparametrized by writing them in terms of multivalued differential equations of the form x?F(t, x) = {f(t, x, u): u?U(t, x)}. So, under suitable hypotheses, the controllability problem turns out to be equivalent to a two-point boundary value problem for a multivalued differential equation. In this paper an existence theorem is sought for the latter boundary value problem. The result is achieved by using the fixed point argument as a crucial tool. |
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