BOUNDARY CONTROL OF TWO PDE'S SEPARATED BY INTERFACE CONDITIONS
被引量:1
BOUNDARY CONTROL OF TWO PDE'S SEPARATED BY INTERFACE CONDITIONS
摘要
This paper discusses the null boundary controllability of two PDE's,modeling a compositesolid with different physical properties in each layer.Interface conditions are imposed.
基金
supported by Italian MIUR
参考文献9
-
1W. Littman and S. Taylor, The Heat and Schrpdinger Equation Boundary Control with One Shot, Control Methods in PDE-Dynamical Systems, Contemporary Math. AMS, Providence, RI, 2007, 426: 299-305. 被引量:1
-
2W. Littman and S. Taylor, The Balayage method: Boundary control of a Thermo-Elastic plate, Applicationcs Math., 2008, 35(4): 467-479. 被引量:1
-
3W. Littman, Boundary control theory for beams and plates, Proceedings of 24th Conference on Decision and Control, Ft. Lauderdale, FL, 1985, 2007-2009. 被引量:1
-
4X. Zhang and E. Zuazua, Polynomial decay and control of a 1-d hyperbolic-parabolic coupled system, Journal of Diff. Eq., 2004, 204: 380-438. 被引量:1
-
5E. Zuazua, Null control of a 1-d model of mixed hyperbolic-parabolic type, Ed. by J. L. Menaldi, et al., Optimal Control and PDE, IOS Press, Amsterdam, 2001. 被引量:1
-
6L. Hormander, Linear Partial Differential Operators, Academic Press, New York, 1963. 被引量:1
-
7S. Taylor, Gevrey smoothing properties of the Schrodinger evolution group in weighted Sobolev spaces, Journal of Math. Anal. and Appl. 1985, 194: 14-38. 被引量:1
-
8W. Littman and S. Taylor, Smoothing evolution equations and boundary controllability, Journal d'Analyse. Mathematique, 1992, 59: 117-131. 被引量:1
-
9A. Pazy, Semigroups of linear operators and applications to partial differential equations, Appl. Math. Sci., Springer, New York, 1983, 44. 被引量:1
-
1CAI ZHIJIE(Institute of Mathematics, Fudan University, Shanghai 200433.).ASYMPTOTIC BEHAVIOR FOR A CLASS OF ELLIPTICEQUIVALUED SURFACE BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS INTERFACE CONDITIONS[J].Applied Mathematics(A Journal of Chinese Universities),1995,10(3):237-250. 被引量:6
-
2陈磊.民用飞机滚转角限制器设计与分析[J].中国科技信息,2016(12):92-93.
-
3Tatsien LI,Bopeng RAO.Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls[J].Chinese Annals of Mathematics,Series B,2013,34(1):139-160. 被引量:14
-
4WEN Ruili,CHAI Shugen.Regularity for Euler-Bernoulli Equations with Boundary Control and Collocated Observation[J].Journal of Systems Science & Complexity,2015,28(4):788-798. 被引量:2
-
5Tatsien LI,Bopeng RAO.Exact Boundary Controllability for a Coupled System of Wave Equations with Neumann Boundary Controls(Dedicated to Professor Haim Brezis on the occasion of his 70th birthday)[J].Chinese Annals of Mathematics,Series B,2017,38(2):473-488. 被引量:3
-
6李开泰,苏剑,黄艾香.Geometrical design of blade's surface and boundary control of Navier-Stokes equations[J].Journal of Pharmaceutical Analysis,2007,19(1):1-6. 被引量:2
-
7Hui-po Liu Ning-ning Yan.SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES FOR BOUNDARY CONTROL GOVERNED BY STOKES EQUATIONS[J].Journal of Computational Mathematics,2006,24(3):343-356. 被引量:2
-
8Wei Gong Ningning Yan.A POSTERIORI ERROR ESTIMATE FOR BOUNDARY CONTROL PROBLEMS GOVERNED BY THE PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Computational Mathematics,2009,27(1):68-88. 被引量:3
-
9田立新,赵志峰,王景峰.BOUNDARY CONTROL OF MKDV-BURGERS EQUATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(1):109-116.
-
10Yu LIU,Haowei HUANG,Hongxia GAO,Xinsheng WU.Modeling and boundary control of a flexible marine riser coupled with internal fluid dynamics[J].控制理论与应用(英文版),2013,11(2):316-323. 被引量:8