Journal of Optimization Theory and Applications

, Volume 29, Issue 2, pp 253–290 | Cite as

Control problems with intermediate constraints: A sufficient condition

  • W. I. Nathanson
Contributed Papers

Abstract

A sufficient condition is given for an arc to be optimal in a general control problem with intermediate constraints. The method of proof is indirect, a la Hestenes, and requires the functionH of the maximum principle to satisfy a concavity property in the control variable, called localE-dominance.

Key Words

Sufficient optimality conditions indirect control proof intermediate constraints E-dominance control theory 

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References

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    Nathanson, W. I.,Control Problems with Intermediate Constraints, Journal of Optimization Theory and Applications, Vol. 8, No. 4, 1971.Google Scholar
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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • W. I. Nathanson
    • 1
  1. 1.California State UniversityNorthridge

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