期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类二阶积微分方程的控制问题

Optimal control problem of systems governed by a class of second order integro-differential equations on Banach spaces
在线阅读 下载PDF
导出
摘要 考虑了二阶非线性积微分方程的最优控制问题,其中系统中的主算子没有紧性,通过对控制变量附加条件,最后我们证明了Lagrange问题(P)最优控制的存在性. In this paper, a Lagrange problem of systems governed by a class of second order nonlinear integro-differential equations is considered. The principal operator has not any compactness in the sys- tems. Attaching conditions to the control variable, we finally prove the existence of optimal controls at hand.
作者 周爱仁 彭云飞
机构地区 贵州财经学院数学与统计学分院 贵州大学理学院数学系
出处 《贵州师范大学学报（自然科学版）》 CAS 2011年第2期60-63,共4页 Journal of Guizhou Normal University：Natural Sciences
基金 国家自然科学基金(10961009) 霍英东教育基金(121104) 贵州省科技厅自然科学基金(20092069)
关键词 二阶方程 最优控制 存在性 弱收敛 second-order equation optimal control existence weak convergence
分类号 O175.6 [理学—基础数学] O231.2 [理学—运筹学与控制论]
  • 相关文献

参考文献16

  • 1C Corduneanu.Integral equations and stability of feedback systems[M].London:Academic press,1973.
  • 2V Lakshmikantham.Some problems in integro-differential equations of Voltterra type[J].Integral Equations Suppl,1985:137-146.
  • 3Y Goltser and E Litsyn.Volterra integro-differential equations and infinite systems of ordinary differential equations[J].Mathematical and Computer Modelling,2005(42):221-233.
  • 4D J Guo.Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces[J].Nonlinear Analysis,2003 (53):183-196.
  • 5X Xiang,Y Peng and W Wei.A general class of nonlinear impulsive integro-differential equations and optimal controls on Banach spaces[J].Discrete and Continuous Dynamical Systems,Supplement Volume,2005):911-919.
  • 6W Wei,X Xiang and Y Peng.Nonlinear impulsive integro-differential equations of mixed type and optimal controls[J].Optimization,2006(55):141-156.
  • 7Y Peng,X Xiang and W Wei.Nonlinear impulsive integro-differenfial equations of mixed type with time-varying generating operators and optimal controls[J].Dynamic Systems and Applications,2007 (16):481-496.
  • 8Y Peng,X Xiang and W Wei.Necessary conditions of optimality for second order nonlinear impulsive differential equations[J].Advances in Differential Equations,(2007)e1-e17,Article ID 40160.
  • 9Y Peng and X Xiang.Second order nonlinear impulsive time-variant systems with unbounded perturbation and optimal controls[J].Journal of Industrial and Management Optimization,2008,4 (1):17-32.
  • 10Y Peng,X Xiang and W.Wei.Second-order nonlinear impulsive integro-differential equations of mixed type with time-varying generating operators and optimal controls[J].Computers and Mathematics with Applications,2009,57(1):42-53.

二级参考文献11

  • 1Y.Goltser and E.Litsyn.Volterra integro-differential equations and infinite systems of ordinary differential equations[J].Mathematical and Computer Modelling,2005,42:221-233.
  • 2V.Volterra.Theory of functionals,and of integral and integro-differential equations,(Edited by L.Fantappie),London:Blackie and Son,1931.
  • 3A.Pazy.Semigroup of linear operators and applications to partial differential equations[M].New York:Springer-Verlag,1983.
  • 4N.U.Ahmed.Semigroup theory with applications to system and control,Pitman Research Notes in Maths series 246[M].New York:Longman Scientific Technical,1991.
  • 5X.Xiang.Y.Peng and W.Wei,A general class of nonlinear impulsive integro-differential equations and optimal controls on Banach spaces[J].DCDS,2005,Supplement Volume:911-919.
  • 6Y.Peng,X.Xiang and W.Wei.Nonlinear impulsive integro-differential equations of mixed type with time-varying generating operators and optimal controls[J].Dynamic Systems and Applications(已被接收).
  • 7W.Wei,X.Xiang and Y.Peng.Nonlinear impulsive integro-differential equation of mixed type and optimal controls[J].Optimization,2006,55(1-2):141-156.
  • 8Dajun Guo.Multiple positive solutions for first order nonlinear integro-differential equations in Banach spaces,Nonlinear Analysis 2003,53:183-195.
  • 9Lishan Liu.Yonghong Wu and Xinguang Zhang,On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces[J].J.Math.Anal.Appl.2006,317:634-649.
  • 10Frank Neubrander.Well-posedness of higher order abstract cauchy problems[J].American Mathematical Society,1986,259(1):257-290.

共引文献2

贵州师范大学学报（自然科学版）
2011年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部