OPTIMAL CONTROL OF PARABOLIC VARIATIONAL INEQUALITIES WITH STATE CONSTRAINT

OPTIMAL CONTROL OF PARABOLIC VARIATIONAL INEQUALITIES WITH STATE CONSTRAINT

下载PDF

导出

摘要 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. 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 Shanghai Institute of Applied Mathematics and Mechanics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第7期756-762,共7页 应用数学和力学（英文版）

基金 theNationalNaturalScienceFoundationofChina (1980 2 0 12)

关键词 state constraint variational inequality discontinuous and nonmonotone nonlinear multivalued mapping optimal control state constraint variational inequality discontinuous and nonmonotone nonlinear multivalued mapping optimal control

分类号 O232 [理学—运筹学与控制论]

引文网络
相关文献

参考文献10

1Barbu,V. Optimal Control of Variational Inequalities . 1983
2Clarke,F.H. Optimization and nonsmooth analysis . 1983
3Tiba D.Optimality conditions for distributed control problems with nonlinear state equation[].The SIAM Journal on Control and Optimization.1985
4Barbu V.Analysis and Control of Nonlinear Infinite Dimensional Systems[]..1993
5WANG Geng_sheng.Optimal control of parabolic variational inequality involving state constraint[].Nonlinear Analysis.2000
6Mignot F,Puel J P.Optimal control in some variational inequalities[].The SIAM Journal on Control and Optimization.1984
7GUO Xing_ming.On existence and uniqueness of solution of hyperbolic differential inclusion with discontinuous nonlinearity[].Journal of Mathematical Analysis and Applications.2000
8Haslinger J,Panagiotopoulos P D.Optimal control of systems governed by hemivariational in _equalities existence and approximation results[].Nonlinear Analysis.1995
9Eberhard Zeidler.Nonlinear Functional Analysis and Its Applications _Ⅱ/B: Nonlinear Monotone Operators[]..1990
10Eberhard Zeidler.Nonlinear Functional Analysis and Its Applications _Ⅱ/A: Linear Monotone Operators[]..1990

1汪更生.OPTIMAL CONTROL PROBLEM FOR PARABOLIC VARIATIONAL INEQUALITIES[J].Acta Mathematica Scientia,2001,21(4):509-525.
2赵怡.The Inertial Manifolds of Infinite-dimensional Dynamical Systems Governed by a Class of Nonlinear Parabolic Variational Inequalities[J].Science China Mathematics,1994,37(10):1153-1171.
3汪更生.NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF SEMILINEAR ELLIPTIC VARIATIONAL INEQUALITIES INVOLVING STATE CONSTRAINT[J].Acta Mathematica Scientia,2005,25(1):7-22.
4N.H.Sweilam,L.F.Abd-Elal.A COMPUTATIONAL APPROACH FOR OPTIMAL CONTROL SYSTEMS GOVERNED BY PARABOLIC VARIATIONAL INEQUALITIES[J].Journal of Computational Mathematics,2003,21(6):815-824.
5Gui-fang LIU,Yi-liang LIU.On Double Degenerate Quasilinear Parabolic Variational Inequalities[J].Acta Mathematicae Applicatae Sinica,2013,29(4):861-868.
6陆伟刚,郭兴明,周世兴.OPTIMAL CONTROL OF HYPERBOLIC H-HEMIVARIATIONAL INEQUALITIES WITH STATE CONSTRAINTS[J].Applied Mathematics and Mechanics(English Edition),2004,25(7):723-729.
7丁睿,蒋美群,彭大萍.BOUNDARY ELEMENT APPROXIMATION OF THE SEMI-DISCRETE PARABOLIC VARIATIONAL INEQUALITIES OF THE SECOND KIND[J].Numerical Mathematics A Journal of Chinese Universities(English Series),2005,14(4):330-339. 被引量：1
8张国伟.Convergence Theorems of Mann and Ishikawa Iterative Processes with Errors for Multivalued Φ-strongly Accretive Mapping[J].Northeastern Mathematical Journal,2003,19(2):174-180.
9汪培庄.σ HYPERFIELD AND THE MEASURABILITY OF MULTIVALUED MAPPINGS[J].Chinese Science Bulletin,1983,28(12):1583-1585.

Applied Mathematics and Mechanics(English Edition)

2003年第7期

浏览历史

内容加载中请稍等...

OPTIMAL CONTROL OF PARABOLIC VARIATIONAL INEQUALITIES WITH STATE CONSTRAINT

参考文献10

相关作者

相关机构

相关主题

浏览历史