Abstract

We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and we provide necessary conditions for an optimal hybrid trajectory, stating a hybrid necessary principle (HNP). Our result generalizes various necessary principles available in the literature.

MSC codes

  1. 49J15
  2. 93C65

Keywords

  1. optimal control
  2. necessary conditions
  3. switching strategy

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cover image SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Pages: 1867 - 1887
ISSN (online): 1095-7138

History

Published online: 26 July 2006

MSC codes

  1. 49J15
  2. 93C65

Keywords

  1. optimal control
  2. necessary conditions
  3. switching strategy

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