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Volumn 35, Issue 10, 1988, Pages 1230-1242

Application of Interval Analysis Techniques to Linear Systems: Part II—The Interval Matrix Exponential Function

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, LINEAR; CONTROL SYSTEMS, OPTIMAL; ELECTRIC NETWORKS, LINEAR -- THEORY;

EID: 0024089032     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.7598     Document Type: Article
Times cited : (49)

References (20)
  • 1
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    • R. E. Moore, Interval Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1966.
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    • Moore, R.E.1
  • 2
    • 0004242019 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall, second edition
    • D. V. Widder, Advanced Calculus, Englewood Cliffs, NJ: Prentice-Hall, 1961, second edition.
    • (1961) Advanced Calculus
    • Widder, D.V.1
  • 3
    • 0024068905 scopus 로고
    • Application of Interval Analysis Techniques to Linear Systems-Part I: Fundamental Results
    • Sept.
    • E. P. Oppenheimer and A. N. Michel, “Application of Interval Analysis Techniques to Linear Systems-Part I: Fundamental Results”, IEEE Circuits Syst., vol. CAS-35, pp. 1129-1138, Sept. 1988.
    • (1988) IEEE Circuits Syst. , vol.CAS-35 , pp. 1129-1138
    • Oppenheimer, E.P.1    Michel, A.N.2
  • 5
    • 84856758591 scopus 로고
    • On Norms of Vectors and Matrices
    • U.S. Atomic Energy Commission Rep. ORNL-1756, Physics (Oak Ridge National Lab., TN, Tennessee)
    • A. S. Householder, “On Norms of Vectors and Matrices”, U.S. Atomic Energy Commission Rep. ORNL-1756, Physics (Oak Ridge National Lab., TN, Tennessee), 1954.
    • (1954)
    • Householder, A.S.1
  • 6
    • 84941487031 scopus 로고
    • On the Convergence of Matrix Iterations
    • U.S. AtomicEnergy Commission Report ORNL-1883, Physics (Oak Ridge National Lab. TN)
    • “On the Convergence of Matrix Iterations”, U.S. AtomicEnergy Commission Report ORNL-1883, Physics (Oak Ridge National Lab. TN), 1955.
    • (1955)
  • 8
    • 49549171052 scopus 로고
    • On a connection between infima of norms and eigenvalues of associated operations
    • R. S. Varga, “On a connection between infima of norms and eigenvalues of associated operations”, J. Linear Algebra Appl., vol. 6, pp. 249-256, 1973.
    • (1973) J. Linear Algebra Appl. , vol.6 , pp. 249-256
    • Varga, R.S.1
  • 10
    • 0041907609 scopus 로고
    • (F. F. Kuo and J. F. Kaiser, Eds.), New York: Wiley
    • System Analysis by Digital Computer. (F. F. Kuo and J. F. Kaiser, Eds.), New York: Wiley, 1966.
    • (1966) System Analysis by Digital Computer
  • 12
    • 84941469209 scopus 로고
    • Implementation of the Fortran precompiler CLUDGE, for the IBM 360/67
    • unpublished report, Computing Center Library, Washington State Univ.
    • C. A. Clark, “Implementation of the Fortran precompiler CLUDGE, for the IBM 360/67”, unpublished report, Computing Center Library, Washington State Univ., 1971.
    • (1971)
    • Clark, C.A.1
  • 13
    • 84941475499 scopus 로고
    • Interval arithmetic package for the IBM 360/67
    • unpublished report, Computing Center Library, Washington State Univ.
    • “Interval arithmetic package for the IBM 360/67”, unpublished report, Computing Center Library, Washington State Univ., 1971.
    • (1971)
  • 14
    • 84941452895 scopus 로고
    • Implementation of best possible floating point arithmetic for the IBM 360/67
    • unpublished report, Computing Center Library, Washington State Univ.
    • “Implementation of best possible floating point arithmetic for the IBM 360/67”, unpublished report, Computing Center Library, Washington State Univ., 1971.
    • (1971)
  • 15
    • 84941429331 scopus 로고    scopus 로고
    • Application of interval analysis to problems of linear control systems
    • Ph.D. dissertation, Iowa State Univ. Library, Ames, IA
    • E. P. Oppenheimer, “Application of interval analysis to problems of linear control systems”, Ph.D. dissertation, Iowa State Univ. Library, Ames, IA.
    • Oppenheimer, E.P.1
  • 16
    • 0024092799 scopus 로고    scopus 로고
    • Application of interval analysis techniques to linear systems-Part III: Initial-value problems
    • this issue
    • E. P. Oppenheimer and A. N. Michel, “Application of interval analysis techniques to linear systems-Part III: Initial-value problems” pp. 1243-1256, this issue.
    • Oppenheimer, E.P.1    Michel, A.N.2
  • 17
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    • High accuracy arithmetic subroutine library
    • IBM Program Number 5664-185, Sept.
    • “High accuracy arithmetic subroutine library”, IBM Program Number 5664-185, Sept. 1983.
    • (1983)
  • 18
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    • IBM high-accuracy arithmetic subroutine library
    • Version 1, Release 3, Program Numbers 5664-185, 5665-337, and 5666-320, Apr.
    • “IBM high-accuracy arithmetic subroutine library”, Version 1, Release 3, Program Numbers 5664-185, 5665-337, and 5666-320, Apr. 1986.
    • (1986)
  • 19
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    • IBM high-accuracy arithmetic subroutine library, General, Information Manual
    • Order No. GC33-6163-02, File No. 5370/4300-82, third ed., Apr.
    • “IBM high-accuracy arithmetic subroutine library, General, Information Manual”, Order No. GC33-6163-02, File No. 5370/4300-82, third ed., Apr. 1986.
    • (1986)
  • 20
    • 84941455304 scopus 로고
    • An introduction to the scientific computing language PASCAL-SC
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    • L. B. Rall, “An introduction to the scientific computing language PASCAL-SC”, Trans. Second Army Conf. on Applied Mathematics ' and Computing, Washington, DC, May 1984.
    • (1984)
    • Rall, L.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.