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Volumn 47, Issue 3, 2003, Pages 289-306

A Semigroup Approach to Boundary Feedback Systems

Author keywords

Boundary feedback; Operator matrices; Positivity; Stability; Strongly continuous semigroups

Indexed keywords


EID: 0242508582     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-002-1163-2     Document Type: Article
Times cited : (65)

References (23)
  • 1
    • 0003307607 scopus 로고    scopus 로고
    • Vector-valued Laplace Transforms and Cauchy Problems
    • [ABHN01], Birkhäuser Verlag
    • [ABHN01] W. Arendt, C.J.K. Batty, M. Hieber, and F. Neubrander, Vector-valued Laplace Transforms and Cauchy Problems, Monographs Math., vol. 96, Birkhäuser Verlag, 2001.
    • (2001) Monographs Math. , vol.96
    • Arendt, W.1    Batty, C.J.K.2    Hieber, M.3    Neubrander, F.4
  • 2
    • 53349128723 scopus 로고    scopus 로고
    • Strongly continuous dual semigroups
    • [AE96]
    • [AE96] H. Amann and J. Escher, Strongly continuous dual semigroups, Ann. Mat. Pura Appl. 171 (1996), 41-62.
    • (1996) Ann. Mat. Pura Appl. , vol.171 , pp. 41-62
    • Amann, H.1    Escher, J.2
  • 3
    • 0242480679 scopus 로고    scopus 로고
    • Resolvent positive operators and inhomogeneous boundary conditions
    • [Are00]
    • [Are00] W. Arendt, Resolvent positive operators and inhomogeneous boundary conditions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), 639-670.
    • (2000) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.29 , pp. 639-670
    • Arendt, W.1
  • 4
    • 51249178092 scopus 로고
    • Feedback boundary control problems for linear semigroups
    • [DLS85]
    • [DLS85] W. Desch, W. Lasiecka, and W. Schappacher, Feedback boundary control problems for linear semigroups, Israel J. Math. 51 (1985), 177-207.
    • (1985) Israel J. Math. , vol.51 , pp. 177-207
    • Desch, W.1    Lasiecka, W.2    Schappacher, W.3
  • 5
    • 0042911929 scopus 로고    scopus 로고
    • Least square control problems in nonreflexive spaces
    • [DMS01]
    • [DMS01] W. Desch, J. Milota, and W. Schappacher, Least square control problems in nonreflexive spaces, Semigroup Forum 62 (2001), 337-357.
    • (2001) Semigroup Forum , vol.62 , pp. 337-357
    • Desch, W.1    Milota, J.2    Schappacher, W.3
  • 6
    • 0003215222 scopus 로고    scopus 로고
    • One-Parameter Semigroups for Linear Evolution Equations
    • [EN00], Springer-Verlag
    • [EN00] K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Math., vol. 194, Springer-Verlag, 2000.
    • (2000) Graduate Texts in Math. , vol.194
    • Engel, K.-J.1    Nagel, R.2
  • 7
    • 21944440103 scopus 로고    scopus 로고
    • Positivity and stability for one-sided coupled operator matrices
    • [Eng97]
    • [Eng97] K.-J. Engel, Positivity and stability for one-sided coupled operator matrices, Positivity 1 (1997), 103-124.
    • (1997) Positivity , vol.1 , pp. 103-124
    • Engel, K.-J.1
  • 8
    • 0000080138 scopus 로고    scopus 로고
    • Spectral theory and generator property for one-sided coupled operator matrices
    • [Eng99]
    • [Eng99] _, Spectral theory and generator property for one-sided coupled operator matrices, Semigroup Forum 58 (1999), 267-295.
    • (1999) Semigroup Forum , vol.58 , pp. 267-295
  • 10
    • 0007063833 scopus 로고
    • Perturbing the boundary conditions of a generator
    • [Gre87]
    • [Gre87] G. Greiner, Perturbing the boundary conditions of a generator, Houston J. Math. 13 (1987), 213-229.
    • (1987) Houston J. Math. , vol.13 , pp. 213-229
    • Greiner, G.1
  • 12
    • 0242480681 scopus 로고
    • Semigroup theory for control on sun-reflexive Banach spaces
    • [Hei87]
    • [Hei87] H.J.A.M. Heijmans, Semigroup theory for control on sun-reflexive Banach spaces, IMA J. Math. Control Inform. 4 (1987), 111-129.
    • (1987) IMA J. Math. Control Inform. , vol.4 , pp. 111-129
    • Heijmans, H.J.A.M.1
  • 14
    • 84904190335 scopus 로고
    • Characteristic matrices and spectral properties of evolutionary systems
    • [KVL92]
    • [KVL92] M.A. Kaashoek and S.M. Verduyn Lunel, Characteristic matrices and spectral properties of evolutionary systems, Trans. Amer. Math. Soc. 334 (1992), 479-517.
    • (1992) Trans. Amer. Math. Soc. , vol.334 , pp. 479-517
    • Kaashoek, M.A.1    Verduyn Lunel, S.M.2
  • 17
    • 4744358814 scopus 로고    scopus 로고
    • A note on abstract initial boundary value problems
    • [Mug01]
    • [Mug01] D. Mugnolo, A note on abstract initial boundary value problems, Tübinger Berichte zur Funktionalanalysis 10 (2001), 158-162.
    • (2001) Tübinger Berichte zur Funktionalanalysis , vol.10 , pp. 158-162
    • Mugnolo, D.1
  • 18
    • 0003207468 scopus 로고
    • One-parameter Semigroups of Positive Operators
    • [Nag86], Springer-Verlag
    • [Nag86] R. Nagel (ed.), One-parameter Semigroups of Positive Operators, Lect. Notes in Math., vol. 1184, Springer-Verlag, 1986.
    • (1986) Lect. Notes in Math. , vol.1184
    • Nagel, R.1
  • 19
    • 0010568927 scopus 로고    scopus 로고
    • Characteristic equations for the spectrum of generators
    • [Nag97]
    • [Nag97] _, Characteristic equations for the spectrum of generators, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 703-717.
    • (1997) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.24 , pp. 703-717
  • 21
    • 0003263410 scopus 로고
    • Introduction to Fourier analysis on Euclidean spaces
    • [SW71], Princeton University Press
    • [SW71] E.M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Math. Ser., vol. 32, Princeton University Press, 1971.
    • (1971) Princeton Math. Ser. , vol.32
    • Stein, E.M.1    Weiss, G.2
  • 22
    • 0003278083 scopus 로고    scopus 로고
    • Partial Differential Equations 1-3
    • [Tay96], Springer-Verlag
    • [Tay96] M.E. Taylor, Partial Differential Equations 1-3, Appl. Math. Sci., vol. 115-117, Springer-Verlag, 1996.
    • (1996) Appl. Math. Sci. , vol.115-117
    • Taylor, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.