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Minimum principle and controllability for multiparameter discrete inclusions via derived cones

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  • Aurelian Cernea

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.

Suggested Citation

  • Aurelian Cernea, 2006. "Minimum principle and controllability for multiparameter discrete inclusions via derived cones," Discrete Dynamics in Nature and Society, Hindawi, vol. 2006, pages 1-12, July.
    • Handle: RePEc:hin:jnddns:096505
    DOI: 10.1155/DDNS/2006/96505
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