Lagrange and Bolza Problems of Optimal Control and Other Problems

  • Lamberto Cesari
Part of the Applications of Mathematics book series (SMAP, volume 17)


As we have shown in Section 1.9, Lagrange, Bolza, and Mayer problems can be essen­tially transformed one into the other by simple changes of space variables. Thus, the necessary condition and the other statements of Chapter 4 for Mayer problems have their counterpart for Lagrange and Bolza problems. We present here briefly the main statements for the Bolza problems for easy reference, those for Lagrange problems being the same (with g =0).


Hamiltonian Function Admissible Pair Canonical Equation Optimal Pair Single Trajectory 
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Copyright information

© Springer-Verlag New York Inc. 1983

Authors and Affiliations

  • Lamberto Cesari
    • 1
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA

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