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Dual variational principles with deviating argument and discontinuous extremals

Abstract

We study dual or complementary variational principles for functionals with deviating argument and discontinuous extremals. Local conditions for the existence of a pair of dual extremum principles are given. Results are then applied to the control problem involving linear neutral differential-difference equations.

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Communicated by D. F. Lawden

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Chan, W.L., Tai, C.H. Dual variational principles with deviating argument and discontinuous extremals. J Optim Theory Appl 23, 593–605 (1977). https://doi.org/10.1007/BF00933299

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Key Words

  • Dual variational principles
  • corner conditions
  • second variation
  • regulator problem
  • linear neutral functional differential equations
  • lower and upper bounds