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带状态约束的抛物型变分不等式的最优控制 被引量：1

Optimal Control of Parabolic Variational Inequalities With Stat Constraint
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摘要 　利用非光滑分析和半变分不等式的一些方法和结果,研究了一类带状态约束的具有非线性、不连续以及非单调多值项的抛物型变分不等式的优化控制问题以及它的逼近等。 The optimal control problem of parabolic variational inequalities with the state constraint and nonlinear,discontinuous nonmonotone multivalued mapping term and its approximating problem are studied,which generalizes some obtained results.
作者 郭兴明 周世兴
机构地区 上海大学上海市应用数学和力学研究所
出处 《应用数学和力学》 EI CSCD 北大核心 2003年第7期669-674,共6页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(19802012) 上海市重点学科建设基金资助项目
关键词 状态约束 变分不等式 不连续非单调多值映射 优化控制与逼近 state constraint variational inequality discontinuous and nononotone nonlinear multivalued mapping optimal control
分类号 O175.26 [理学—基础数学] O178 [理学—基础数学]
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参考文献10

  • 1Barbu V . Optimal Control of Variational Inequalities[M] .London:Pitman, 1983.
  • 2Tiba D. Optimality conditions for distributed control problems with nonlinear state equation [ J ].SIAM J Control Optim, 1985,23(1) :85--110.
  • 3Barbu V.Analysis and Control of Nonlinear Infinite Dimensional Systems[M] .Boston:Academic Press, Inc, 1993.
  • 4WANG Geng-sheng. Optimal control of parabolic variational inequality involving state constraint[J].Nonlinear Anal, 2000,42: 789-- 801.
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  • 10Eberhard Zeidler. Nonlinear Functional Analysis and Its Applications- Ⅱ/B: Nonlinear Monotone Operators[M]. New York:Springer-Verlag, 1990.

同被引文献15

  • 1Panagiotopous P D.Hemivariational Inequalities,Applications in Mechanics and Engineering[M].Berlin:Springer-Verlag,1993.
  • 2Panagiotopoulos P D.Coercive and semicoercive hemivariational inequalitis[J].Nonlinear Anal,1991,16(3):209-231.
  • 3Friedman A.Optimal control for variational inequalities[J].SIAM J Control Optim,1986,24:439-451.
  • 4Barbu V.Optimal Control of Variational Inequalities[M].London:Pitman,1983.
  • 5Barbu V.Analysis and Control of Nonlinear Infinite Dimensional Sysems[M].Academic Press:inc,1993.
  • 6Haslinger J,Panagiotopoulos P D.Optimal control of systems governed by hemivariational inequalities existence and approximation results[J].Nonlinear Anal,1995,24(1):105-119.
  • 7WANG Geng-sheng.Optimal control of parabolic variational inequality involving state constraint[J].Nonlinear Anal,2000,42:789-801.
  • 8Arada N,Raymond J P.Optimal control problems with mixed control-state constraints[J].SIAM J Control Optim,2000,39(5):1391-1407.
  • 9HE Zheng-xu.State constrained control problems governed by variational inequality[J].SIAM J Control Optim,1987,25(5):1119-1144.
  • 10Tiba D.Optimality conditions for distributed control problems with nonlinear state equation[J].SIAM J Control Optim,1985,23(1):85-110.

引证文献1

应用数学和力学
2003年 第7期

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