Perturbation theory of boundary value problems and approximate controllability of perturbed boundary control problems

被引：2
|
作者：
Hadd, Said [1 ]
Zhong, Qing-Chang [1 ]
机构：
[1] Univ Liverpool, Dept Elect Engn & Elect, Liverpool L69 3GJ, Merseyside, England
来源：
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年
关键词：
Boundary value problem; perturbation theory; approximate controllability; regular systems;
D O I：
10.1109/CDC.2008.4739281
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A semigroup approach for the well-posedness of perturbed nonhomogeneous abstract boundary value problems is developed in this paper. This allows us to introduce a useful variation of constant formula for the solutions. Drawing from this formula, necessary and sufficient conditions for the approximate controllability of such systems are obtained, using the feedback theory of well-posed and regular linear systems developed by Salamon, Staffans and Weiss.
引用
收藏
页码：1465 / 1470
页数：6
相关论文
共 50 条
  • [11] Singularly perturbed boundary value problems
    Shi Yufeng
    Acta Mathematicae Applicatae Sinica, 1999, 15 (4) : 409 - 417
  • [12] On the approximate controllability for second order nonlinear parabolic boundary value problems.
    Diaz, JI
    Henry, J
    Ramos, AM
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 403 - 404
  • [13] Boundary Value Problems and Approximate Solutions
    Tesfy, Gebreslassie
    Rao, Venketeswara J.
    Araya, Ataklti
    Tesfay, Daniel
    MOMONA ETHIOPIAN JOURNAL OF SCIENCE, 2012, 4 (01): : 102 - 114
  • [14] Maximal Controllability for Boundary Control Problems
    Klaus-Jochen Engel
    Marjeta Kramar Fijavž
    Bernd Klöss
    Rainer Nagel
    Eszter Sikolya
    Applied Mathematics & Optimization, 2010, 62 : 205 - 227
  • [15] Maximal Controllability for Boundary Control Problems
    Engel, Klaus-Jochen
    Fijavz, Marjeta Kramar
    Kloess, Bernd
    Nagel, Rainer
    Sikolya, Eszter
    APPLIED MATHEMATICS AND OPTIMIZATION, 2010, 62 (02): : 205 - 227
  • [16] Application of spline to approximate the solution of singularly perturbed boundary-value problems
    Farajeyan, Karim
    Rashidinia, Jalil
    Jalilian, Reza
    Maleki, Nader Rafati
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (02): : 373 - 388
  • [17] Analytic approximate solutions of parameterized unperturbed and singularly perturbed boundary value problems
    Turkyilmazoglu, M.
    APPLIED MATHEMATICAL MODELLING, 2011, 35 (08) : 3879 - 3886
  • [18] Boundary integral methods for singularly perturbed boundary value problems
    Langdon, S
    Graham, IG
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2001, 21 (01) : 217 - 237
  • [19] A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation
    Mo J.
    Applied Mathematics-A Journal of Chinese Universities, 2007, 22 (2) : 201 - 206
  • [20] A CLASS OF NONLINEAR SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION
    Mo Jiaqi Department of Mathematics
    Department of Mathematics
    Division of Computational Science
    Applied Mathematics:A Journal of Chinese Universities(Series B), 2007, (02) : 201 - 206
12345