메뉴 건너뛰기




Volumn 39, Issue 7, 2003, Pages 1125-1144

Generic properties and control of linear structured systems: A survey

Author keywords

Genericity; Graph theory; Linear systems; Structured systems

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLYNOMIAL APPROXIMATION;

EID: 0038516887     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(03)00104-3     Document Type: Article
Times cited : (478)

References (77)
  • 2
    • 0019610586 scopus 로고
    • Algebraic characterization of fixed modes in decentralized control systems
    • Anderson B.D.O., Clements D.J. Algebraic characterization of fixed modes in decentralized control systems. Automatica. 17:1981;703-712.
    • (1981) Automatica , vol.17 , pp. 703-712
    • Anderson, B.D.O.1    Clements, D.J.2
  • 4
    • 34250491432 scopus 로고
    • Controlled and conditioned invariant subspaces in linear system theory
    • Basile G., Marro G. Controlled and conditioned invariant subspaces in linear system theory. Journal of Optimization Theory and Applications. 3(5):1969;306-315.
    • (1969) Journal of Optimization Theory and Applications , vol.3 , Issue.5 , pp. 306-315
    • Basile, G.1    Marro, G.2
  • 7
    • 0023435970 scopus 로고
    • Structured systems within the transfer matrix approach: Application to decoupling
    • Commault C., Dion J.M., Belmehdi A. Structured systems within the transfer matrix approach. Application to decoupling Systems & Control Letters. 9:1987;335-339.
    • (1987) Systems & Control Letters , vol.9 , pp. 335-339
    • Commault, C.1    Dion, J.M.2    Belmehdi, A.3
  • 8
    • 0027702586 scopus 로고
    • Output feedback disturbance decoupling - Graph interpretation for structured systems
    • Commault C., Dion J.M., Benahcène M. Output feedback disturbance decoupling - graph interpretation for structured systems. Automatica. 29:1993;1463-1472.
    • (1993) Automatica , vol.29 , pp. 1463-1472
    • Commault, C.1    Dion, J.M.2    Benahcène, M.3
  • 9
    • 0031084719 scopus 로고    scopus 로고
    • A geometric approach for structured systems: Application to the disturbance decoupling problem
    • Commault C., Dion J.M., Hovelaque V. A geometric approach for structured systems. Application to the disturbance decoupling problem Automatica. 33:1997;403-409.
    • (1997) Automatica , vol.33 , pp. 403-409
    • Commault, C.1    Dion, J.M.2    Hovelaque, V.3
  • 12
    • 0016998586 scopus 로고
    • Decentralized control of linear multivariable systems
    • Corfmat J.P., Morse A.S. Decentralized control of linear multivariable systems. Automatica. 12:1976;479-495.
    • (1976) Automatica , vol.12 , pp. 479-495
    • Corfmat, J.P.1    Morse, A.S.2
  • 13
    • 0001409785 scopus 로고
    • Structurally controllable and structurally canonical systems
    • Corfmat J.P., Morse A.S. Structurally controllable and structurally canonical systems. IEEE Transactions on Automatic Control. AC-21:1976;129-131.
    • (1976) IEEE Transactions on Automatic Control , vol.AC-21 , pp. 129-131
    • Corfmat, J.P.1    Morse, A.S.2
  • 14
    • 0015586577 scopus 로고
    • Connectability and structural controllability of composite systems
    • Davison E.J. Connectability and structural controllability of composite systems. IEEE Transactions on Automatic Control. AC-18:1973;24-32.
    • (1973) IEEE Transactions on Automatic Control , vol.AC-18 , pp. 24-32
    • Davison, E.J.1
  • 15
    • 0015586577 scopus 로고
    • Properties of linear time-invariant multivariable systems subject to arbitrary output and state feedback
    • Davison E.J., Wang S.H. Properties of linear time-invariant multivariable systems subject to arbitrary output and state feedback. IEEE Transactions on Automatic Control. AC-18:1973;24-32.
    • (1973) IEEE Transactions on Automatic Control , vol.AC-18 , pp. 24-32
    • Davison, E.J.1    Wang, S.H.2
  • 16
    • 0016355803 scopus 로고
    • Properties and calculation of transmission zeros of linear multivariable time-invariant systems
    • Davison E.J., Wang S.H. Properties and calculation of transmission zeros of linear multivariable time-invariant systems. Automatica. 10:1974;643-658.
    • (1974) Automatica , vol.10 , pp. 643-658
    • Davison, E.J.1    Wang, S.H.2
  • 17
    • 0020166675 scopus 로고
    • On the structure at infinity of linear square decouplable systems
    • Descusse J., Dion J.M. On the structure at infinity of linear square decouplable systems. IEEE Transactions on Automatic Control. AC-27:1982;971-974.
    • (1982) IEEE Transactions on Automatic Control , vol.AC-27 , pp. 971-974
    • Descusse, J.1    Dion, J.M.2
  • 18
    • 0037849163 scopus 로고
    • Smith-Mcmillan factorisations at infinity of rational matrix functions and their control interpretation
    • Dion J.M., Commault C. Smith-Mcmillan factorisations at infinity of rational matrix functions and their control interpretation. Systems & Control Letters. 1:1982;312-320.
    • (1982) Systems & Control Letters , vol.1 , pp. 312-320
    • Dion, J.M.1    Commault, C.2
  • 20
    • 0010969622 scopus 로고
    • Simultaneous decoupling and disturbance rejection - A structural approach
    • Dion J.M., Commault C., Montoya J. Simultaneous decoupling and disturbance rejection - a structural approach. International Journal of Control. 59:1994;1325-1344.
    • (1994) International Journal of Control , vol.59 , pp. 1325-1344
    • Dion, J.M.1    Commault, C.2    Montoya, J.3
  • 22
    • 0345929238 scopus 로고    scopus 로고
    • Analytical and qualitative model-based fault diagnosis - A survey and some new results
    • Frank P.M. Analytical and qualitative model-based fault diagnosis - a survey and some new results. European Journal of Control. 2:1996;6-28.
    • (1996) European Journal of Control , vol.2 , pp. 6-28
    • Frank, P.M.1
  • 26
    • 0024092301 scopus 로고
    • On almost invariant subspaces of structured systems and decentralized control
    • Hayakawa Y., Silijak D.D. On almost invariant subspaces of structured systems and decentralized control. IEEE Transactions on Automatic Control. AC-33:1988;931-939.
    • (1988) IEEE Transactions on Automatic Control , vol.AC-33 , pp. 931-939
    • Hayakawa, Y.1    Silijak, D.D.2
  • 27
    • 0019246376 scopus 로고
    • Determination of generic dimensions of controllable subspaces and its application
    • Hosoe S. Determination of generic dimensions of controllable subspaces and its application. IEEE Transactions on Automatic Control. AC-25:1980;1192-1196.
    • (1980) IEEE Transactions on Automatic Control , vol.AC-25 , pp. 1192-1196
    • Hosoe, S.1
  • 28
    • 0001888206 scopus 로고    scopus 로고
    • Analysis of linear structured systems using a primal-dual algorithm
    • Hovelaque V., Commault C., Dion J.M. Analysis of linear structured systems using a primal-dual algorithm. Systems & Control Letters. 27:1996;73-85.
    • (1996) Systems & Control Letters , vol.27 , pp. 73-85
    • Hovelaque, V.1    Commault, C.2    Dion, J.M.3
  • 29
    • 0032598752 scopus 로고    scopus 로고
    • Zeros of structured linear systems
    • Hovelaque V., Commault C., Dion J.M. Zeros of structured linear systems. Automatica. 35:1999;1683-1688.
    • (1999) Automatica , vol.35 , pp. 1683-1688
    • Hovelaque, V.1    Commault, C.2    Dion, J.M.3
  • 32
    • 0001208698 scopus 로고
    • Qualitative stability and digraphs in ecosystems
    • Jeffries C. Qualitative stability and digraphs in ecosystems. Ecology. 55:1974;1415-1419.
    • (1974) Ecology , vol.55 , pp. 1415-1419
    • Jeffries, C.1
  • 34
    • 0003792312 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • Kailath T. Linear systems. 1980;Prentice-Hall, Englewood Cliffs, NJ.
    • (1980) Linear Systems
    • Kailath, T.1
  • 35
    • 0020900010 scopus 로고
    • A fast graph theoretic algorithm for the feedback decoupling problem of nonlinear systems
    • Mathematical theory of networks and systems, Prague. Berlin: Springer
    • Kasinski, A., & Levine, J. (1984). A fast graph theoretic algorithm for the feedback decoupling problem of nonlinear systems. In Mathematical theory of networks and systems, Lectures notes in control and information sciences, Vol. 58, Prague (pp. 550-562). Berlin: Springer.
    • (1984) Lectures Notes in Control and Information Sciences , vol.58 , pp. 550-562
    • Kasinski, A.1    Levine, J.2
  • 37
    • 0020197356 scopus 로고
    • Graph-theoretic approach to controllability and localizability of decentralized control systems
    • Kobayashi H., Yoshikawa T. Graph-theoretic approach to controllability and localizability of decentralized control systems. IEEE Transactions on Automatic Control. AC-27:1982;1096-1107.
    • (1982) IEEE Transactions on Automatic Control , vol.AC-27 , pp. 1096-1107
    • Kobayashi, H.1    Yoshikawa, T.2
  • 38
    • 0030196406 scopus 로고    scopus 로고
    • Graph-theoretic characterization of fixed modes in frequency domain
    • Kong J., Seo J.H. Graph-theoretic characterization of fixed modes in frequency domain. Automatica. 32:1996;1057-1060.
    • (1996) Automatica , vol.32 , pp. 1057-1060
    • Kong, J.1    Seo, J.H.2
  • 39
    • 0002719797 scopus 로고
    • The hungarian method for the assignment problem
    • Kuhn H.W. The hungarian method for the assignment problem. Naval Research Logistics Quarterly. 2:1955;83-97.
    • (1955) Naval Research Logistics Quarterly , vol.2 , pp. 83-97
    • Kuhn, H.W.1
  • 41
    • 0038525578 scopus 로고
    • Decoupling of structured systems
    • Linnemann A. Decoupling of structured systems. Systems & Control Letters. 1:1981;79-86.
    • (1981) Systems & Control Letters , vol.1 , pp. 79-86
    • Linnemann, A.1
  • 43
    • 0018998809 scopus 로고
    • Studies in the synthesis of control structures for chemical processes, Part II: Structural aspects and the synthesis of alternative feasible control schemes
    • Morari M., Stephanopoulos G. Studies in the synthesis of control structures for chemical processes, Part II. Structural aspects and the synthesis of alternative feasible control schemes A.I.Ch.E. Journal. 26:1980;232-246.
    • (1980) A.I.Ch.E. Journal , vol.26 , pp. 232-246
    • Morari, M.1    Stephanopoulos, G.2
  • 44
    • 0005458397 scopus 로고    scopus 로고
    • Matrices and matroids for systems analysis
    • Berlin: Springer
    • Murota, K. (2000). Matrices and matroids for systems analysis. In Algorithms and combinatorics, Vol. 20. Berlin: Springer.
    • (2000) Algorithms and Combinatorics , vol.20
    • Murota, K.1
  • 45
    • 0026190143 scopus 로고
    • Structure at infinity of structured descriptor systems and its applications
    • Murota K., van der Woude J.W. Structure at infinity of structured descriptor systems and its applications. SIAM Journal on Control and Optimization. 29:1991;878-894.
    • (1991) SIAM Journal on Control and Optimization , vol.29 , pp. 878-894
    • Murota, K.1    Van der Woude, J.W.2
  • 47
    • 0000353268 scopus 로고
    • The consistent initialization of differential-algebraic systems
    • Pantelides C.C. The consistent initialization of differential-algebraic systems. SIAM Journal on Statistical Computation. 9:1988;213-231.
    • (1988) SIAM Journal on Statistical Computation , vol.9 , pp. 213-231
    • Pantelides, C.C.1
  • 49
    • 0001387538 scopus 로고
    • On the gap between the structural controllability of time-varying and time-invariant systems
    • Poljak S. On the gap between the structural controllability of time-varying and time-invariant systems. IEEE Transactions on Automatic Control. AC-37:1992;1961-1965.
    • (1992) IEEE Transactions on Automatic Control , vol.AC-37 , pp. 1961-1965
    • Poljak, S.1
  • 50
    • 0037849167 scopus 로고
    • Graph-theoretic characterisation of structural properties by means of paths and cycle families
    • Budapest
    • Reinschke, K. J. (1984). Graph-theoretic characterisation of structural properties by means of paths and cycle families. In IFAC world congress, Budapest.
    • (1984) IFAC World Congress
    • Reinschke, K.J.1
  • 54
    • 0019541033 scopus 로고
    • A graph theoretic approach to multivariable control system design
    • Schizas C., Evans F.J. A graph theoretic approach to multivariable control system design. Automatica. 17:1981;371-377.
    • (1981) Automatica , vol.17 , pp. 371-377
    • Schizas, C.1    Evans, F.J.2
  • 59
    • 0019070024 scopus 로고
    • Eine graphische methode zur ermittlung der nullstellen in mehrgrössen-systemen
    • Sote W. Eine graphische methode zur ermittlung der nullstellen in mehrgrössen-systemen. Reglungstechnik. 28:1980;346-348.
    • (1980) Reglungstechnik , vol.28 , pp. 346-348
    • Sote, W.1
  • 61
    • 0022953564 scopus 로고
    • Graphentheoretische ermittlung der anzahl von strukturellen und streng strukturellen invarianten nullstellen
    • Svaricek F. Graphentheoretische ermittlung der anzahl von strukturellen und streng strukturellen invarianten nullstellen. Automatisierungstechnik. 34:1986;488-497.
    • (1986) Automatisierungstechnik , vol.34 , pp. 488-497
    • Svaricek, F.1
  • 62
    • 0025545611 scopus 로고
    • An improved graph-theoretic algorithm for computing the structure at infinity of linear systems
    • Hawaii
    • Svaricek, F. (1990). An improved graph-theoretic algorithm for computing the structure at infinity of linear systems. In IEEE CDC conference, Hawaii.
    • (1990) IEEE CDC Conference
    • Svaricek, F.1
  • 63
    • 0346902732 scopus 로고
    • Computation of the generic structure at infinity of linear systems: A Toeplitz-matrix approach
    • Dublin
    • Svaricek, F. (1991). Computation of the generic structure at infinity of linear systems: A Toeplitz-matrix approach. In 13th IMACS world congress on computation and applied mathematics, Dublin (pp. 1130-1132).
    • (1991) 13th IMACS World Congress on Computation and Applied Mathematics , pp. 1130-1132
    • Svaricek, F.1
  • 64
    • 0018493874 scopus 로고
    • A geometric approach to multivariable system design of a distillation column
    • Takamatsu T., Hashimoto I., Nakay Y. A geometric approach to multivariable system design of a distillation column. Automatica. 15:1979;387-402.
    • (1979) Automatica , vol.15 , pp. 387-402
    • Takamatsu, T.1    Hashimoto, I.2    Nakay, Y.3
  • 66
    • 0026068441 scopus 로고
    • A graph theoretic characterization for the rank of the transfer matrix of a structured system
    • van der Woude J.W. A graph theoretic characterization for the rank of the transfer matrix of a structured system. Mathematics of Control, Signals and Systems. 4:1991;33-40.
    • (1991) Mathematics of Control, Signals and Systems , vol.4 , pp. 33-40
    • Van der Woude, J.W.1
  • 67
  • 68
    • 0009191109 scopus 로고
    • Disturbance decoupling by measurement feedback for structured systems: A graph theoretic approach
    • Groningen
    • van der Woude, J. W. (1993a). Disturbance decoupling by measurement feedback for structured systems: A graph theoretic approach. In Proccedings of second European control conference ECC'93, Groningen (pp. 1132-1137).
    • (1993) Proccedings of Second European Control Conference ECC'93 , pp. 1132-1137
    • Van der Woude, J.W.1
  • 69
    • 0030107981 scopus 로고
    • Disturbance decoupling by measurement feedback for structured transfer matrix systems
    • van der Woude J.W. Disturbance decoupling by measurement feedback for structured transfer matrix systems. Automatica. 32:1993;357-364.
    • (1993) Automatica , vol.32 , pp. 357-364
    • Van der Woude, J.W.1
  • 71
    • 84949100173 scopus 로고    scopus 로고
    • Graph theoretic conditions for structural disturbance decoupling with pole placement
    • Brussels
    • van der Woude, J. W. (1997). Graph theoretic conditions for structural disturbance decoupling with pole placement. In European control conference ECC'97, Brussels.
    • (1997) European Control Conference ECC'97
    • Van der Woude, J.W.1
  • 72
    • 0343192201 scopus 로고    scopus 로고
    • The generic number of invariant zeros of a structured linear system
    • van der Woude J.W. The generic number of invariant zeros of a structured linear system. SIAM Journal on Control and Optimization. 38:2000;1-21.
    • (2000) SIAM Journal on Control and Optimization , vol.38 , pp. 1-21
    • Van der Woude, J.W.1
  • 74
    • 0343324716 scopus 로고
    • Disturbance decoupling with pole placement for structured systems; A graph theoretic approach
    • van der Woude J.W., Murota K. Disturbance decoupling with pole placement for structured systems; a graph theoretic approach. SIAM Journal on Matrix Analysis and Applications. 16(3):1995;922-942.
    • (1995) SIAM Journal on Matrix Analysis and Applications , vol.16 , Issue.3 , pp. 922-942
    • Van der Woude, J.W.1    Murota, K.2
  • 77
    • 84986967829 scopus 로고
    • A network flow algorithm to find an elementary i/o matching
    • Yamada T. A network flow algorithm to find an elementary i/o matching. Networks. 18:1988;105-109.
    • (1988) Networks , vol.18 , pp. 105-109
    • Yamada, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.