Minimum principle and controllability for multiparameter discrete inclusions via derived cones

Aurelian Cernea

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-12

Abstract:

We consider a multiparameter discrete inclusion and we prove that the reachable set of a certain variational multiparameter discrete inclusion is a derived cone in the sense of Hestenes to the reachable set of the discrete inclusion. This result allows to obtain sufficient conditions for local controllability along a reference trajectory and a new proof of the minimum principle for an optimization problem given by a multiparameter discrete inclusion with endpoint constraints.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:096505

DOI: 10.1155/DDNS/2006/96505

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