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ROBUST BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM

강용한|유상욱
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.12|한국수학논문집 (Korean Journal of Mathematics)|제16권 제4호|pp. 457-470

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참고문헌

키워드

robust boundary controlchemotaxis diffusion reaction system.
주제분류수학

초록

This paper is concerned with the robust boundary con-trol of the chemotaxis reaction diffusion system. That is, we show that the existence of the saddle point for the robust control problem when the control and the disturbance are given by the boundary condition.

Abstract

This paper is concerned with the robust boundary con-trol of the chemotaxis reaction diffusion system. That is, we show that the existence of the saddle point for the robust control problem when the control and the disturbance are given by the boundary condition.

참고문헌 (12)

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  3. A. Belmiloudi, "Robust and optimal control problems to a phase-¯eld model for the solidi¯cation of a binary alloy with a constant temperature", Journal of Dynamical and Control systems, 10(4), pp.453~499 (2004)
  4. T. R. Bewley, "A general framework for robust control in °uid mechanics", Physica D, 138, pp.360~392 (2000)
  5. C. Hou, "Robust control of the Kuramoto-Sivashinsky equation", Dynamics and Cont. Discrete and Impulsive systems Series B, 8, pp.315~338 (2001)
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  7. D. Lebiedz, "External optimal control of self-organization dy- namics in a chemotaxis reaction diffusion system", IEE Syst. Biol, 2, pp.222~229 (2004)
  8. S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl, 45, pp.45~66 (2001)
  9. Sang-Uk Ryu, "Distributed Robust conller-Segel equations", 호남수학학술지, 26(4), pp.423~439 (2004), 호남수학회
  10. SANG-UK RYU, "Robust Control for a Parabolic System of Chemotaxis", 호남수학학술지, 30(2), pp.259~272 (2008), 호남수학회
  11. 유상욱, "BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM", 호남수학학술지, 30(3), pp.469~478 (2008), 호남수학회
  12. B. Nonlinear monotone operator, "Nonlinear functional analysis and its applications. II", pp.1990, E. Zeidler

관련 논문AI추천

NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS유상욱영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호OPTIMAL CONTROL FOR SOME REACTION DIFFUSION MODEL유상욱영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호OPTIMAL CONTROL FOR SOME SEMILINEAR PARABOLIC SYSTEM유상욱영남수학회 · East Asian Mathematical Journal2019 · 제35권 제5호Optimal control for Belousov-Zhabotinskii reaction model유상욱영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호NECESSARY CONDITIONS FOR OPTIMAL CONTROL GOVERNED BY SOME ODE-PDE SYSTEMS유상욱영남수학회 · East Asian Mathematical Journal2019 · 제35권 제5호Optimality conditions for optimal control governed by Belousov-Zhabotinskii reaction model유상욱대한수학회 · 대한수학회논문집2015 · 제30권 제3호

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