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Optimal Control for Self-organizing Target Detection Model in the 1D Case

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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.

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.

참고문헌 (6)

  1. S. Iwasaki, "Exponential attractor for one-dimensional self-organizing target-detection model", Funkcial. Ekvac, 62, pp.75~93 (2019)
  2. E. F. Keller, "Initiation of slime mold aggregation viewed as an instability", J. Theoret. Biol, 26, pp.399~415 (1970)
  3. Y. Okaie, "Modeling and performance evaluation of mobile bionanosensor networks for target tracking", Proc. IEEE Int. Conf. Commun. (ICC 2014), pp.3969~3974
  4. K. Osaki, "Finite dimensional attractor for one-dimensional Keller-Segel equations", Funkcial. Ekvac, 44, pp.441~469 (2001)
  5. S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl, 256, pp.45~66 (2001)
  6. A. Yagi, "Abstract parabolic evolution equations and their applications" (2010), Springer-Verlag

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