Fixed Final Time: First Differential

  • David G. Hull
Part of the Mechanical Engineering Series book series (MES)


First differential conditions are developed for a standard optimal control problem with fixed final time. The conditions are the Euler-Lagrange equations and the natural boundary conditions. These equations are to be solved for the optimal controls and states. For problems not explicitly containing the time, a first integral is shown to exist. Several examples are presented to illustrate the application of the theory.


Optimal Control Problem Performance Index Minimal Path Natural Boundary Condition Differential Condition 
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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • David G. Hull
    • 1
  1. 1.Aerospace Engineering and Engineering MechanicsThe University of Texas at AustinAustinUSA

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