메뉴 건너뛰기




Volumn 19, Issue 1, 1998, Pages 71-88

Primitivity of positive matrix pairs: Algebraic characterization, graph theoretic description, and 2D systems interpretation

Author keywords

Circulant matrices; Directed graphs; Integer matrices; Multidimensional systems; Primitive matrices

Indexed keywords


EID: 0032355555     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479895294095     Document Type: Article
Times cited : (31)

References (17)
  • 1
    • 0030086558 scopus 로고    scopus 로고
    • Nonnegative realization of a linear system with nonnegative impulse response
    • B. D. O. ANDERSON, M. DEISTLER, L. FARINA, AND L. BENVENUTI, Nonnegative realization of a linear system with nonnegative impulse response, IEEE Trans. Circuits and Systems, Part I, 43 (1996), pp. 134-142.
    • (1996) IEEE Trans. Circuits and Systems , vol.43 , Issue.PART I , pp. 134-142
    • Anderson, B.D.O.1    Deistler, M.2    Farina, L.3    Benvenuti, L.4
  • 4
    • 0002977113 scopus 로고
    • Positive reachability and controllability of positive systems
    • P. G. COXSON AND H. SHAPIRO, Positive reachability and controllability of positive systems, Linear Algebra Appl., 94 (1987), pp. 35-53.
    • (1987) Linear Algebra Appl. , vol.94 , pp. 35-53
    • Coxson, P.G.1    Shapiro, H.2
  • 6
    • 0024905985 scopus 로고
    • Controllability of linear single-input positive discrete time systems
    • M. P. FANTI, B. MAIONE, AND B. TURCHIANO, Controllability of linear single-input positive discrete time systems, Internat. J. Control, 50 (1989), pp. 2523-2542.
    • (1989) Internat. J. Control , vol.50 , pp. 2523-2542
    • Fanti, M.P.1    Maione, B.2    Turchiano, B.3
  • 7
    • 0025444962 scopus 로고
    • Controllability of multi-input positive discrete time systems
    • M. P. FANTI, B. MAIONE, AND B. TURCHIANO, Controllability of multi-input positive discrete time systems, Internat. J. Control, 51 (1990), pp. 1295-1308.
    • (1990) Internat. J. Control , vol.51 , pp. 1295-1308
    • Fanti, M.P.1    Maione, B.2    Turchiano, B.3
  • 9
    • 0026204150 scopus 로고
    • A 2D systems approach to river pollution modelling
    • E. FORNASINI, A 2D systems approach to river pollution modelling, Multidimens. Systems Signal Process., 2 (1991), pp. 233-265.
    • (1991) Multidimens. Systems Signal Process. , vol.2 , pp. 233-265
    • Fornasini, E.1
  • 10
    • 0029343622 scopus 로고
    • Matrix pairs in 2D systems: An approach based on trace series and Hankel matrices
    • E. FORNASINI AND M. E. VALCHER, Matrix pairs in 2D systems: An approach based on trace series and Hankel matrices, SIAM J. Control Optim., 33 (1995), pp. 1127-1150.
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1127-1150
    • Fornasini, E.1    Valcher, M.E.2
  • 11
    • 0030492897 scopus 로고    scopus 로고
    • On the spectral and combinatorial structure of 2D positive systems
    • E. FORNASINI AND M. E. VALCHER, On the spectral and combinatorial structure of 2D positive systems, Linear Algebra Appl., 245 (1996), pp. 223-258.
    • (1996) Linear Algebra Appl. , vol.245 , pp. 223-258
    • Fornasini, E.1    Valcher, M.E.2
  • 13
    • 0003805590 scopus 로고
    • W. H. Freeman, San Francisco, CA
    • N. JACOBSON, Basic Algebra, Vols. I and II, W. H. Freeman, San Francisco, CA, 1974.
    • (1974) Basic Algebra , vol.1-2
    • Jacobson, N.1
  • 14
    • 0019476739 scopus 로고
    • Positive realization of difference equations
    • H. MAEDA AND S. KODAMA, Positive realization of difference equations, IEEE Trans. Circuits and Systems, CAS-28 (1981), pp. 39-47.
    • (1981) IEEE Trans. Circuits and Systems , vol.CAS-28 , pp. 39-47
    • Maeda, H.1    Kodama, S.2
  • 17
    • 0030257917 scopus 로고    scopus 로고
    • Controllability and reachability criteria for discrete time positive systems
    • M. E. VALCHER, Controllability and reachability criteria for discrete time positive systems, Internat. J. Control. 65 (1996), pp. 511-536.
    • (1996) Internat. J. Control. , vol.65 , pp. 511-536
    • Valcher, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.