A maximum principle for optimal control system with endpoint constraints

被引:0
作者
Weifeng Wang
Bin Liu
机构
[1] Huazhong University of Science and Technology,School of Mathematics and Statistics
来源
Journal of Inequalities and Applications | / 2012卷
关键词
Pontryagin’s maximum principle; optimal control; Hamilton system; transversality condition; linear structure;
D O I
暂无
中图分类号
学科分类号
摘要
Pontryagin’s maximum principle for an optimal control system governed by an ordinary differential equation with endpoint constraints is proved under the assumption that the control domain has no linear structure. We also obtain the variational equation, adjoint equation and Hamilton system for our problem.
引用
收藏
相关论文
共 7 条
  • [1] Capuzzo-Dolcetta I(1984)Optimal switching for ordinary differential equations SIAM J. Control Optim 22 143-161
  • [2] Evans LC(2010)Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure Discrete Contin. Dyn. Syst., Ser. B 14 1445-1464
  • [3] Lou HW(1986)Control of an elliptic problem with pointwise state constraints SIAM J. Control Optim 24 1309-1318
  • [4] Casas E(1993)Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state Appl. Math. Optim 27 35-56
  • [5] Casas E(1991)Relaxed controls in infinite dimensional systems Int. Ser. Numer. Math 100 115-128
  • [6] Fernández LA(undefined)undefined undefined undefined undefined-undefined
  • [7] Fattorini HO(undefined)undefined undefined undefined undefined-undefined