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