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具有扩散和年龄结构种群动力系统的最优控制 被引量：6

Optimal Control for Linear Population Dynamics with Age-dependence Spatial Structure and Diffusion
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摘要 研究了一类具有扩散和年龄结构种群线性动力系统的最优控制问题。证明了最优控制问题解的存在性;同时借助于法锥概念,我们还得到了最优控制问题解存在的必要条件,推广了已有的结果。 For the optimal control problem of linear population dynamics with age-dependence and spatial structre, we demonstrated the existence of solutions of the optimal control problem and, by the conception of normal cone, we also obtained the first order necessary conditions of optimal problem. Our results extend the corresponding research of linear models.
作者 雒志学 李沐春
机构地区 兰州交通大学数学系
出处 《工程数学学报》 CSCD 北大核心 2006年第4期641-646,共6页 Chinese Journal of Engineering Mathematics
基金 兰州交通大学"青蓝"人才工程基金(QL-05-18A)国家自然科学基金(604730304).
关键词 最优控制 种群动力学 扩散 年龄结构 Pontryagin原理 optimal control population dynamics diffusion age-dependence Pontryagin＇s principle
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献11

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  • 9S Anita. Optimal harvesting for a nonlinear age-dependent population dynamics[J]. J. Math. Anal. Appl. ,1998,226:6-12
  • 10S Anita. Optimal control of a nonlinear population dynamics with diffusion[J]. J. Math. Anal. Appl. ,1990,152:176-208.

共引文献4

同被引文献40

  • 1赵春,王绵森,赵平.一类种群系统的适定性及最优收获问题[J].系统科学与数学,2005,25(1):1-12. 被引量：25
  • 2徐伟,都琳,许勇.非线性随机动力系统研究的若干进展[J].工程数学学报,2006,23(6):951-960. 被引量：14
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  • 4Gao T G, Chen Z Q. A new image encryption algorithm based on hyper-chaos[J]. Physics Letters A, 2008, 372:394-400.
  • 5Lu W, Lu H T, Chung F L. Robust digital image watermarking based on subsampling[J]. Applied Mathe- matics and Computation, 2006, 181:886-893.
  • 6Pyragas K. Continuous control of chaos by self-controlling feedback[J]. Physics Letters A, 1992, 170: 421- 428.
  • 7Tian L X, Dong G G. Frontward-response control of sudden occurrence of chaos[J]. Physics Letters A, 2008, 372:4241-4246.
  • 8Xu W, et a/. Analysis for the stabilization of impulsive control Liu's system[J]. Chaos, Solitons & Fractals, 2009, 42(2): 1143-1148.
  • 9Salarieh H, et al. Stabilizing unstable fixed points of discrete chaotic systems via quasi-sliding mode method[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14:839-849.
  • 10Lei Y M, eta/. Chaos control by harmonic excitation with proper random phase[J]. Chaos, Solitons gz Fractals, 2004, 21(5): 1175-1181.

引证文献6

二级引证文献13

工程数学学报
2006年 第4期

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