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Volumn 25, Issue 9, 1978, Pages 721-727

The Stabilizability Problem: A Hilbert Space Operator Decomposition Approach

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, LINEAR;

EID: 0018016345     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1978.1084539     Document Type: Article
Times cited : (38)

References (17)
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    • W. M. Wonham, “On pole assignment in multi-input controllable linear systems,” IEEE Trans. Automatic Control, vol. AC-12, pp. 660–665, 1967.
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    • Wonham, W.M.1
  • 2
    • 49649132575 scopus 로고
    • The linear stabilization problem in Hilbert space
    • M. Slemrod, “The linear stabilization problem in Hilbert space,” J. Functional Analysis, vol. 11, pp. 334–345, 1972.
    • (1972) J. Functional Analysis , vol.11 , pp. 334-345
    • Slemrod, M.1
  • 3
    • 0001388188 scopus 로고
    • A note on complete controllability and stabilizability for linear control systems in Hilbert space
    • ——, “A note on complete controllability and stabilizability for linear control systems in Hilbert space,” SIAM J. Control, vol. 12, no. 3, pp. 500-508, 1974.
    • (1974) SIAM J. Control , vol.12 , Issue.3 , pp. 500-508
  • 4
    • 0016589884 scopus 로고
    • On the stabilizability problem in Banach space
    • R. Triggiani, “On the stabilizability problem in Banach space,” J. Math. Anal. Appl., vol. 52, pp. 383–403, 1975.
    • (1975) J. Math. Anal. Appl. , vol.52 , pp. 383-403
    • Triggiani, R.1
  • 5
    • 3142698718 scopus 로고
    • Ein Zerspaltungssatz für Operatoren im Hilbertraum
    • H. Langer, “Ein Zerspaltungssatz für Operatoren im Hilbertraum,” Acta Math. Hung., vol. 12, pp. 441–445, 1961.
    • (1961) Acta Math. Hung. , vol.12 , pp. 441-445
    • Langer, H.1
  • 6
    • 3142663456 scopus 로고
    • Sur les contractions de l'espace de Hilbert VI
    • B. Sz-Nagy and C. Foias, “Sur les contractions de l'espace de Hilbert VI,” Acta. Sci. Math. Szeged. vol. 21, pp. 251–259, 1960.
    • (1960) Acta. Sci. Math. Szeged. , vol.21 , pp. 251-259
    • Sz-Nagy, B.1    Foias, C.2
  • 7
    • 84967737555 scopus 로고
    • Dissipative operators and hyperbolic systems of partial differential equations
    • R. S. Phillips, “Dissipative operators and hyperbolic systems of partial differential equations,” Trans. Amer. Math. Soc., vol. 90, pp. 193–254, 1959.
    • (1959) Trans. Amer. Math. Soc. , vol.90 , pp. 193-254
    • Phillips, R.S.1
  • 9
    • 84945717905 scopus 로고    scopus 로고
    • On the reduction of a contraction semigroup to a completely nonunitary semigroup
    • to appear
    • N. Levan and L. Rigby, “On the reduction of a contraction semigroup to a completely nonunitary semigroup,” J. Math. Anal. Appl., to appear.
    • J. Math. Anal. Appl.
    • Levan, N.1    Rigby, L.2
  • 10
    • 84972582025 scopus 로고
    • Powers of a contraction in Hilbert space
    • S. R. Foguel, “Powers of a contraction in Hilbert space,” Pac. J. Math., vol. 13, pp. 551–562, 1963.
    • (1963) Pac. J. Math. , vol.13 , pp. 551-562
    • Foguel, S.R.1
  • 11
    • 0011260465 scopus 로고
    • Van Nostrand Reinhold Math. Studies, New York
    • P. A. Fillmore, Notes on Operator Theory, Van Nostrand Reinhold Math. Studies, vol. 30, New York, 1970.
    • (1970) Notes on Operator Theory , vol.30
    • Fillmore, P.A.1
  • 12
    • 84945717906 scopus 로고
    • Controllability, stabilization and the mean egordic theorem
    • Tech. Rep., Washington Univ.
    • R. E. O’Brien, “Controllability, stabilization and the mean egordic theorem,” Tech. Rep., Washington Univ., 1976.
    • (1976)
    • O’Brien, R.E.1
  • 13
    • 84945717907 scopus 로고    scopus 로고
    • A note on weak stabilizability of contraction semigroup
    • to appear
    • C. D. Benchimol, “A note on weak stabilizability of contraction semigroup,” SIAM J. Contr. Optimization, to appear.
    • SIAM J. Contr. Optimization
    • Benchimol, C.D.1
  • 16
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    • Approximate controllability and weak stabilizability
    • Lubbock, TX, Aug. 17–19, Los Angeles, CA: Western Periodicals Co.
    • C. D. Benchimol, “Approximate controllability and weak stabilizability,” in Proc. 2nd Int. Symp. Operator Theory of Networks and Systems, vol. 2 (Lubbock, TX, Aug. 17–19, 1977, Los Angeles, CA: Western Periodicals Co.
    • (1977) Proc. 2nd Int. Symp. Operator Theory of Networks and Systems , vol.2
    • Benchimol, C.D.1
  • 17
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    • On uniformly bounded linear transformations in Hilbert space
    • B. Sz-Nagy, “On uniformly bounded linear transformations in Hilbert space,” Acta. Sci. Math. Szeged, vol. 11, pp. 152–157, 1947.
    • (1947) Acta. Sci. Math. Szeged , vol.11 , pp. 152-157
    • Sz-Nagy, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.