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Optimal periodic control of lumped parameter systems

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Abstract

Some subsidiary conditions for determining the superiority of the periodic control to the steady control are derived. The necessary condition for the optimality of period is established by adding a new condition to the well-known condition which can yield merely the stationary value of the objective function. Some considerations are also given for a system having a single state variable and a single control variable and for the linear control problem, which very often appears in many practical cases.

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References

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Authors and Affiliations

  1. Nagoya University, Nagoya, Japan

    M. Matsubara (Professor of Chemical Engineering), Y. Nishimura (Assistant Professor of Chemical Engineering) & N. Takahashi (Graduate Student)

Authors
  1. M. Matsubara
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  2. Y. Nishimura
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  3. N. Takahashi
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Communicated by R. Jackson

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Matsubara, M., Nishimura, Y. & Takahashi, N. Optimal periodic control of lumped parameter systems. J Optim Theory Appl 13, 13–31 (1974). https://doi.org/10.1007/BF00935607

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  • DOI: https://doi.org/10.1007/BF00935607

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