East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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OPTIMAL CONTROL FOR SELF-ORGANIZING TARGET DETECTION MODEL IN THE 1D CASE

  • Ryu, Sang-Uk (Department of Mathematics, Jeju National University)
  • Received : 2021.12.24
  • Accepted : 2021.12.31
  • Published : 2022.01.31
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Abstract

This paper is concerned with the optimal control problem associated to the self-organizing target detection model in 1D domains. That is, we show the global existence of weak solution and the existence of optimal control.

Keywords

Acknowledgement

This research was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2019R1A6A1A10072987)

References

  1. S. Iwasaki, Exponential attractor for one-dimensional self-organizing target-detection model, Funkcial. Ekvac. 62: 75-93(2019). https://doi.org/10.1619/fesi.62.75
  2. E. F. Keller and L. A. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theoret. Biol. 26: 399-415(1970). https://doi.org/10.1016/0022-5193(70)90092-5
  3. Y. Okaie, T. Nakano, T. Hara, K. Hosoda, Y. Hiraoka and S. Nishio. Modeling and performance evaluation of mobile bionanosensor networks for target tracking, Proc. IEEE Int. Conf. Commun. (ICC 2014), 3969-3974.
  4. K. Osaki and A. Yagi, Finite dimensional attractor for one-dimensional Keller-Segel equations, Funkcial. Ekvac. 44: 441-469(2001).
  5. S.-U. Ryu and A. Yagi, Optimal control of Keller-Segel equations, J. Math. Anal. Appl. 256: 45-66 (2001). https://doi.org/10.1006/jmaa.2000.7254
  6. A. Yagi, Abstract parabolic evolution equations and their applications, Springer-Verlag, Berlin, 2010.