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Near-Optimal Controls of a Class of Volterra Integral Systems

Author

Listed:
  • L. P. Pan

    (Fudan University)

  • K. L. Teo

    (Hong Kong Polytechnic University)

Abstract

In a recent paper by Zhou (Ref. 1), the concept of near-optimal controls was introduced for a class of optimal control problems involving ordinary differential equations. Necessary and sufficient conditions for near-optimal controls were derived. This paper extends the results obtained by Zhou to a class of optimal control problems involving Volterra integral equations. The results are applied to study near-optimal controls obtained by the control parametrization method.

Suggested Citation

  • L. P. Pan & K. L. Teo, 1999. "Near-Optimal Controls of a Class of Volterra Integral Systems," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 355-373, May.
    • Handle: RePEc:spr:joptap:v:101:y:1999:i:2:d:10.1023_a:1021741627449
    DOI: 10.1023/A:1021741627449
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    Cited by:

    1. Mokhtar Hafayed & Syed Abbas, 2014. "On Near-Optimal Mean-Field Stochastic Singular Controls: Necessary and Sufficient Conditions for Near-Optimality," Journal of Optimization Theory and Applications, Springer, vol. 160(3), pages 778-808, March.

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