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一个退化非线性扩散方程所支配系统的周期最优控制问题 被引量:2

Periodic Optimal Control for a Degenerate Nonlinear Diffusion Equation
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摘要 研究由退化非线性扩散方程所支配系统的周期最优控制问题. 利用抛物正则化方法和弱收敛技巧, 证明了最优控制的存在性和稳定性. Tiis paper deals with the periodic optimal control governed by a degenerate nonlinear diffusion equation . The existence and stability of the optimal control is established based on the parabolic regularization method and the weak convergence technique.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2005年第3期295-296,共2页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号: 10426018) 高等学校博士点基金(批准号: 20030183010)
关键词 最优控制 周期性 退化性 非线性扩散 optimal control periodicity degeneracy nonlinear diffusion
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参考文献9

  • 1Murray J D.Mathematical Biology [M].Berlin:Springer-Verlag,1989.
  • 2Beddington J R,May R M.Harvesting Natural Populations in a Randomly Fluctuating Environment [J].Science,1977,197:463-465.
  • 3Rotenberg M.Effect of Certain Stochastic Parameters on Extinction and Harvested Populations [J].J Theor Biol,1987,124:455-472.
  • 4Fisher R A.The Wave of Advance of Advantageous Genes [J].Ann Eugenics,1937,7:353-369.
  • 5He F,Leung A,Stojanovic S.Periodic Optinal Control for Parabolic Volterra-Lotka Type Systems [J].Math Methos Appl Sci J Comput Appl Math,1995,18:127-146.
  • 6He F,Leung A,Stojanovic S.Periodic Optimal Control for Competing Parabolic Volterra-Lotka Type Equations [J].J Comput Appl Math,1994,52:199-217.
  • 7Stojanovic S.Modeling and Minimization of Extinction in Volterra-Lotka Type Equations with Free Boundaries [J].J Differential Equations,1997,134(2):320-342.
  • 8Leung A W.Optimal Harvesting-coefficient Control of Steady-state Prey-predator Diffusive Volterra-Lotka Systems [J].Appl Math Optim,1995,31(2):219-241.
  • 9Kalashnikov A S.Some Problems of the Qualitative Theory of Nonlinear Degenerate Second Order Parabolic Equations [J].Russian Math Surveys,1987,42(2):169-222

同被引文献11

  • 1Barbu V. Controllability of Parabolic and Navier-Stokes Equations [J]. Sci Math Jpn, 2002, 56( 1 ) : 143-21 I.
  • 2Fernandez-Cara E, Zuazua E. Null and Approximate Controllability for Weakly Blowing up Semilinear Heat Equations [J]. Ann Inst H Poincare Anal Non Lineaire, 2000, 17(5) : 583-616.
  • 3Cabanillas V, Menezes S, De, Zuazua E. Null Controllability in Unbounded Domains for the Semilinear Heat Equation with Nonlinearities Involving Gradient Terms [ J]. J Optim Theory Applications, 2001, 110(2) : 245-264.
  • 4Alabau-Boussouira F, Cannarsa P, Fragnelli G. Carleman Estimates for Degenerate Parabolic Operators with Applications to Null Controllability [J]. J Evol Equ, 2006, 6(2) : 161-204.
  • 5Cannarsa P, Martinez P, Vaneostenoble J. Null Controllability of Degenerate Heat Equations [ J]. Adv Differential Equations, 2005, 10(2): 153-190.
  • 6Flores C, Teresa L, De. Carleman Estimates for Degenerate Parabolic Equations with First Order Terms and Applications [J], Comptes Rendus : Mathematique, 2010, 348 (7/8) : 391-396.
  • 7Cannarsa P, Martinez P, Vancostenoble J. Carleman Estimates for a Class of Degenerate Parabolic. Operators [ J ]. SlAM J Control Optim, 2008, 47( 1 ) : 1-19.
  • 8Cannarsa P, Fragnelli G, Rocchetti D. Controllability Results for a Class of One-Dimensional Degenerate Parabolic Problems in Nondivergence Form [J]. J Evol Equ, 2008, 8(4) : 583-616.
  • 9李辉,王艺霏.一类具反馈控制和比率型功能反应食物链系统周期解的存在性[J].吉林大学学报(理学版),2009,47(2):221-227. 被引量:2
  • 10付军,闫淑坤,吕显瑞.年龄相关的时变种群系统最优边界控制计算的惩罚移位法[J].吉林大学学报(理学版),2010,48(2):177-182. 被引量:5

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