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Volumn 22, Issue 2, 2001, Pages 453-471

An algebraic approach to the construction of polyhedral invariant cones

Author keywords

Invariant cones; Maximal modulus eigenvalues; Polyhedral cones; script K sign irreducibility primitivity positivity; Spectral radius

Indexed keywords


EID: 0042913269     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479898335465     Document Type: Article
Times cited : (19)

References (24)
  • 2
    • 0039980842 scopus 로고
    • On matrices having an invariant cone
    • G.P. BARKER, On matrices having an invariant cone, Czechoslovak Math. J., 22 (1972), pp. 49-68.
    • (1972) Czechoslovak Math. J. , vol.22 , pp. 49-68
    • Barker, G.P.1
  • 3
  • 4
    • 0039051252 scopus 로고
    • Some observations on the spectra of cone preserving maps
    • G.P. BARKER AND R.E.L. TURNER, Some observations on the spectra of cone preserving maps, Linear Algebra Appl., 6 (1973), pp. 149-153.
    • (1973) Linear Algebra Appl. , vol.6 , pp. 149-153
    • Barker, G.P.1    Turner, R.E.L.2
  • 7
    • 0039643459 scopus 로고
    • Linear transformations with invariant cones
    • G. BIRKHOFF, Linear transformations with invariant cones, Amer. Math. Monthly, 74 (1967), pp. 274-276.
    • (1967) Amer. Math. Monthly , vol.74 , pp. 274-276
    • Birkhoff, G.1
  • 8
    • 85013505445 scopus 로고
    • Constrained control for systems with unknown disturbances
    • F. BLANCHINI, Constrained control for systems with unknown disturbances, Control Dyn. Syst. Adv. Theory Appl., 51 (1992), pp. 129-182.
    • (1992) Control Dyn. Syst. Adv. Theory Appl. , vol.51 , pp. 129-182
    • Blanchini, F.1
  • 10
    • 0025464235 scopus 로고
    • Positively invariant sets of discrete-time systems with constrained inputs
    • C. BURGAT, A. BENZAOUIA, AND S. TARBOURIECH, Positively invariant sets of discrete-time systems with constrained inputs, Internat. J. Systems Sci., 21 (1990), pp. 1249-1271.
    • (1990) Internat. J. Systems Sci. , vol.21 , pp. 1249-1271
    • Burgat, C.1    Benzaouia, A.2    Tarbouriech, S.3
  • 12
    • 0040254545 scopus 로고
    • Monotonie und randspektrum bei vollstetigen operatoren
    • L. ELSNER, Monotonie und randspektrum bei vollstetigen operatoren, Arch. Ration. Mech. Anal., 36 (1970), pp. 356-365.
    • (1970) Arch. Ration. Mech. Anal. , vol.36 , pp. 356-365
    • Elsner, L.1
  • 13
    • 0003792312 scopus 로고
    • Prentice Hall, Englewood Cliffs, NJ
    • T. KAILATH, Linear Systems, Prentice Hall, Englewood Cliffs, NJ, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 14
    • 0000315972 scopus 로고
    • Linear operators leaving invariant a cone in Banach space
    • M.G. KREIN AND M.A. RUTMAN, Linear operators leaving invariant a cone in Banach space, Amer. Math. Soc. Trans. Ser., 10 (1950), pp. 199-325.
    • (1950) Amer. Math. Soc. Trans. Ser. , vol.10 , pp. 199-325
    • Krein, M.G.1    Rutman, M.A.2
  • 16
    • 0039574300 scopus 로고
    • Some results about a Leontieff-type model
    • C.I. Byrnes and A. Lindquist, eds., Elsevier Science, Amsterdam
    • J.W. NIEUWENHUIS, Some results about a Leontieff-type model, in Frequency Domain and State Space Methods for Linear Systems, C.I. Byrnes and A. Lindquist, eds., Elsevier Science, Amsterdam, 1986, pp. 213-225.
    • (1986) Frequency Domain and State Space Methods for Linear Systems , pp. 213-225
    • Nieuwenhuis, J.W.1
  • 19
  • 20
    • 0040829785 scopus 로고
    • On the distinguished eigenvalues of a cone-preserving map
    • B.S. TAM, On the distinguished eigenvalues of a cone-preserving map, Linear Algebra Appl., 131 (1990), pp. 17-37.
    • (1990) Linear Algebra Appl. , vol.131 , pp. 17-37
    • Tam, B.S.1
  • 21
    • 84966252131 scopus 로고
    • On the core of a cone-preserving map
    • B.S. TAM AND H. SCHNEIDER, On the core of a cone-preserving map, Trans. Amer. Math. Soc., 343 (1994), pp. 479-524.
    • (1994) Trans. Amer. Math. Soc. , vol.343 , pp. 479-524
    • Tam, B.S.1    Schneider, H.2
  • 22
    • 0041621179 scopus 로고
    • Positively invariant sets for continuous-time systems with the cone-preserving property
    • S. TARBOURIECH AND C. BURGAT, Positively invariant sets for continuous-time systems with the cone-preserving property, Internat. J. Systems Sci., 24 (1993), pp. 1037-1047.
    • (1993) Internat. J. Systems Sci. , vol.24 , pp. 1037-1047
    • Tarbouriech, S.1    Burgat, C.2
  • 23
    • 0042623120 scopus 로고
    • Representations of dynamic systems described by behavioural inequalities
    • Groningen, The Netherlands
    • A.A. TEN DAM, Representations of dynamic systems described by behavioural inequalities, in the Proceedings of ECC'93, Groningen, The Netherlands, 1993, pp. 1780-1783.
    • (1993) The Proceedings of ECC'93 , pp. 1780-1783
    • Ten Dam, A.A.1
  • 24
    • 0000960420 scopus 로고
    • Spectral properties of matrices which have invariant cones
    • J.S. VANDERGRAFT, Spectral properties of matrices which have invariant cones, SIAM J. Appl. Math., 16 (1968), pp. 1208-1222.
    • (1968) SIAM J. Appl. Math. , vol.16 , pp. 1208-1222
    • Vandergraft, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.