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Estimate of Periodic Suboptimal Controls

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  • G. Grammel

    (University of South Australia)

Abstract

We consider the infinite-time optimal control problem of minimizing an average functional for nonlinear control systems. For controllable systems, we give an explicit estimate for the required period T of ɛ-suboptimal T-periodic orbits. Moreover, we show that controllable systems are characterized by the existence of periodic suboptimal trajectories for any average functional.

Suggested Citation

  • G. Grammel, 1998. "Estimate of Periodic Suboptimal Controls," Journal of Optimization Theory and Applications, Springer, vol. 99(3), pages 681-689, December.
    • Handle: RePEc:spr:joptap:v:99:y:1998:i:3:d:10.1023_a:1021707201815
    DOI: 10.1023/A:1021707201815
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    References listed on IDEAS

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    1. Fabian Wirth, 1993. "Convergence of the Value Functions of Discounted Infinite Horizon Optimal Control Problems with Low Discount Rates," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 1006-1019, November.
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