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Volumn 35, Issue 6, 1997, Pages 2118-2127

NP-hardness of some linear control design problems

Author keywords

Complexity; Control design; Linear control

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONTROL SYSTEM SYNTHESIS; DECENTRALIZED CONTROL; FEEDBACK CONTROL; MATRIX ALGEBRA; PROBLEM SOLVING; SYSTEM STABILITY;

EID: 0031272805     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012994272630     Document Type: Article
Times cited : (362)

References (17)
  • 1
    • 0016472847 scopus 로고
    • Output feedback stabilization and related problems - Solutions via decision methods
    • B. D. O. ANDERSON, N. K. BOSE, AND E. I. JURY, Output feedback stabilization and related problems - solutions via decision methods, IEEE Trans. Automat. Control, 20 (1975), pp. 53-66.
    • (1975) IEEE Trans. Automat. Control , vol.20 , pp. 53-66
    • Anderson, B.D.O.1    Bose, N.K.2    Jury, E.I.3
  • 2
    • 0030291482 scopus 로고    scopus 로고
    • On the combinatorial and algebraic complexity of quantifier elimination
    • S. BASU, R. POLLACK, AND M.-F. ROY, On the combinatorial and algebraic complexity of quantifier elimination, J. Assoc. Comput. Mach. 43 (1996), pp. 1002-1046.
    • (1996) J. Assoc. Comput. Mach. , vol.43 , pp. 1002-1046
    • Basu, S.1    Pollack, R.2    Roy, M.-F.3
  • 3
    • 38249011686 scopus 로고
    • Some open problems in matrix theory arising in linear systems and control
    • D. S. BERNSTEIN, Some open problems in matrix theory arising in linear systems and control, Linear Algebra Appl., (1992), pp. 409-432.
    • (1992) Linear Algebra Appl. , pp. 409-432
    • Bernstein, D.S.1
  • 4
    • 0003253222 scopus 로고
    • Simultaneous Stabilization of Linear Systems
    • Springer-Verlag, London
    • V. BLONDEL, Simultaneous Stabilization of Linear Systems, Lecture Notes in Control and Inform. Sci. 191 (1994), Springer-Verlag, London.
    • (1994) Lecture Notes in Control and Inform. Sci. , vol.191
    • Blondel, V.1
  • 7
    • 0000177727 scopus 로고
    • The computational complexity of approximating the minimal perturbation scaling to achieve instability in an interval matrix
    • G. E. COXSON AND C. L. DEMARCO, The computational complexity of approximating the minimal perturbation scaling to achieve instability in an interval matrix, Math. Control Signals Systems, 7 (1994), pp. 279-291.
    • (1994) Math. Control Signals Systems , vol.7 , pp. 279-291
    • Coxson, G.E.1    Demarco, C.L.2
  • 9
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge, UK
    • R. A. HORN AND C. R. JOHNSON, Matrix Analysis, Cambridge University Press, Cambridge, UK, 1985.
    • (1985) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 10
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • R. E. Miller and J. W. Thatcher, eds., Plenum Press, New York
    • R. M. KARP, Reducibility among combinatorial problems, in Complexity of Computer Computations, R. E. Miller and J. W. Thatcher, eds., Plenum Press, New York, 1972, pp. 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.M.1
  • 11
    • 0027798081 scopus 로고
    • Several NP-hard problems arising in robust stability analysis
    • A. NEMIROVSKII, Several NP-hard problems arising in robust stability analysis, Math. Control Signals Systems, 6 (1993), pp. 99-105.
    • (1993) Math. Control Signals Systems , vol.6 , pp. 99-105
    • Nemirovskii, A.1
  • 12
    • 85033304134 scopus 로고    scopus 로고
    • Personal communication, 1994
    • M. OVERTON, Personal communication, 1994.
    • Overton, M.1
  • 14
    • 0027307460 scopus 로고
    • Checking robust nonsingularity is NP-hard
    • S. POLJAK AND J. ROHN, Checking robust nonsingularity is NP-hard, Math. Control Signals Systems, 6 (1993), pp. 1-9.
    • (1993) Math. Control Signals Systems , vol.6 , pp. 1-9
    • Poljak, S.1    Rohn, J.2
  • 15


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.