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Volumn 74, Issue 12, 2001, Pages 1260-1270

Compactness and nuclearity of the Hankel operator and internal stability of infinite-dimensional state linear systems

Author keywords

[No Author keywords available]

Indexed keywords

LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0035883055     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170110061059     Document Type: Article
Times cited : (34)

References (28)
  • 6
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    • (1985) IMA Journal of Mathematical Control and Information , vol.2 , pp. 171-182
    • Curtain, R.F.1
  • 7
    • 0030683186 scopus 로고    scopus 로고
    • Well-posedness, stability and admissibility for Pritchard-Salamon systems. Journal of Mathematical Systems
    • Curtain, R.F., Logemann, H., Townley, S., and Zwart, H.J., 1997, Well-posedness, stability and admissibility for Pritchard-Salamon systems. Journal of Mathematical Systems, Estimation and Control, 7, 439-476.
    • (1997) Estimation and Control , vol.7 , pp. 439-476
    • Curtain, R.F.1    Logemann, H.2    Townley, S.3    Zwart, H.J.4
  • 9
    • 0002032911 scopus 로고
    • Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems
    • Curtain, R.F., and Zwart, H.J., 1995, Riccati equations and normalized coprime factorizations for strongly stabilizable infinite-dimensional systems. Systems and Control Letters, 28, 11-22.
    • (1995) Systems and Control Letters , vol.28 , pp. 11-22
    • Curtain, R.F.1    Zwart, H.J.2
  • 11
    • 0024035850 scopus 로고
    • Realization and approximation of linear infinite-dimensional systems with error bounds
    • Glover, K., Curtain, R.F., and Partington, J.R., 1988, Realization and approximation of linear infinite-dimensional systems with error bounds. SIAM Journal on Control and Optimization, 26, 863-898.
    • (1988) SIAM Journal on Control and Optimization , vol.26 , pp. 863-898
    • Glover, K.1    Curtain, R.F.2    Partington, J.R.3
  • 12
    • 0025028414 scopus 로고
    • Rational approximation of a class of infinite-dimensional systems, I: Singular values of Hankel operators
    • Glover, K., Lam, J., and Partington, J.R., 1990, Rational approximation of a class of infinite-dimensional systems, I: Singular values of Hankel operators. Mathematics of Control, Signals and Systems, 3, 325-344.
    • (1990) Mathematics of Control, Signals and Systems , vol.3 , pp. 325-344
    • Glover, K.1    Lam, J.2    Partington, J.R.3
  • 17
    • 0010734025 scopus 로고
    • A note on a system theoretic approach to a conjecture by Peller-Khrushchev
    • Ober, R.J., 1987, A note on a system theoretic approach to a conjecture by Peller-Khrushchev. Systems and Control Letters, 8, 303-306.
    • (1987) Systems and Control Letters , vol.8 , pp. 303-306
    • Ober, R.J.1
  • 19
    • 0004281201 scopus 로고
    • London Mathematical Society Student Texts (Cambridge: Cambridge University Press)
    • Partington, J.R., 1988, An Introduction to Hankel Operators. London Mathematical Society Student Texts (Cambridge: Cambridge University Press).
    • (1988) An Introduction to Hankel Operators
    • Partington, J.R.1
  • 21
    • 0023089994 scopus 로고
    • The linear quadratic control problem for infinite-dimensional systems
    • Pritchard, A.J., and Salamon, D., 1987, The linear quadratic control problem for infinite-dimensional systems. SIAM Journal on Control and Optimization, 25, 121-144.
    • (1987) SIAM Journal on Control and Optimization , vol.25 , pp. 121-144
    • Pritchard, A.J.1    Salamon, D.2
  • 22
    • 0002687090 scopus 로고    scopus 로고
    • Quadratic optimal control of a parabolic equation
    • G. Picci, A. Berghi, L. Finesso (eds), Padova, July
    • Staffans, O.J., 1998, Quadratic optimal control of a parabolic equation. In G. Picci, A. Berghi, L. Finesso (eds) Proceedings of the Mathematical Theory of Networks and Systems Symposium, pp. 535-538, Padova, July.
    • (1998) Proceedings of the Mathematical Theory of Networks and Systems Symposium , pp. 535-538
    • Staffans, O.J.1
  • 24
    • 0025488347 scopus 로고
    • Hankel operators for non-exponentially stabilizable infinite-dimensional systems
    • Van Keulen, B., 1990, Hankel operators for non-exponentially stabilizable infinite-dimensional systems. Systems and Control Letters, 15, 221-226.
    • (1990) Systems and Control Letters , vol.15 , pp. 221-226
    • Van Keulen, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.