Journal of Optimization Theory and Applications

, Volume 62, Issue 3, pp 489–513 | Cite as

A solution method for regular optimal control problems with state constraints

  • H. X. Phu
Contributed Papers


A method of region analysis is developed for solving a class of optimal control problems with one state and one control variable, including state and control constraints. The performance index is strictly convex with respect to the control variable, while this variable appears only linearly in the state equation. The convexity or linearity assumption of the performance index or the state equation with respect to the state variable is not required.

Key Words

Optimal control regular problems state constraints method of region analysis 


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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • H. X. Phu
    • 1
  1. 1.Institute of MathematicsNghia Do, HanoiVietnam

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