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Volumn 3, Issue SPL. ISS., 2008, Pages 55-66

On the representation and the stability study of large scale system

Author keywords

Benrejeb arrow form matrix; Borne Gentina criterion_Multimodel control system; Continuous large scale systems; Stability; TSK fuzzy model

Indexed keywords


EID: 77953284787     PISSN: 18419836     EISSN: 18419844     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (49)

References (44)
  • 1
    • 0742283670 scopus 로고
    • Fuzzy control of dynamical systems and stability analysis based on the conicity criterion
    • Brussels, July
    • J. Aracil, A. Garcia-Cezero, A. Barreiro, A. Ollero, "Fuzzy control of dynamical systems and stability analysis based on the conicity criterion," IFSA'91World Congress, Brussels, July, 5-8, 1991.
    • (1991) IFSA'91World Congress , pp. 5-8
    • Aracil, J.1    Garcia-Cezero, A.2    Barreiro, A.3    Ollero, A.4
  • 3
    • 84876983421 scopus 로고
    • Sur l'analyse et la synthése de processus complexes hiérarchisés. Application aux syst?cmes singuli?crement perturbés
    • USTL, Lille
    • M. Benrejeb, "Sur l'analyse et la synthése de processus complexes hiérarchisés. Application aux syst?cmes singuli?crement perturbés," Doctor Science Thesis, USTL, Lille, 1980.
    • (1980) Doctor Science Thesis
    • Benrejeb, M.1
  • 4
    • 33746366460 scopus 로고    scopus 로고
    • On order reduction and stabilization of TSK non linear fuzzy models by using arrow form matrix
    • M. Benrejeb, M.N. Abdelkrim, "On order reduction and stabilization of TSK non linear fuzzy models by using arrow form matrix," SAMS, Vol. 43, n°7, pp. 977-991, 2003.
    • (2003) SAMS , vol.43 , Issue.7 , pp. 977-991
    • Benrejeb, M.1    Abdelkrim, M.N.2
  • 5
    • 33746337072 scopus 로고
    • Sur une application de la représentation en fléche á l'analyse des processus
    • M. Benrejeb, P. Borne, F. Laurent, "Sur une application de la représentation en fléche á l'analyse des processus," RAIRO Automatique, Vol. 16, n°2, pp. 133-146, 1982.
    • (1982) RAIRO Automatique , vol.16 , Issue.2 , pp. 133-146
    • Benrejeb, M.1    Borne, P.2    Laurent, F.3
  • 6
    • 33746355033 scopus 로고    scopus 로고
    • On the use of an arrow form matrix for modeling and stability analysis of singularly perturbed nonlinear systems
    • M. Benrejeb, M. Gasmi, "On the use of an arrow form matrix for modeling and stability analysis of singularly perturbed nonlinear systems," SAMS, 40, pp. 209-225, 2001.
    • (2001) SAMS , vol.40 , pp. 209-225
    • Benrejeb, M.1    Gasmi, M.2
  • 7
    • 84876965720 scopus 로고    scopus 로고
    • Choice of conjunctive operator of TSK fuzzy systems and stability domain study
    • to appear
    • M. Benrejeb, A. Sakly, K. Ben Othman, P. Borne, "Choice of conjunctive operator of TSK fuzzy systems and stability domain study," MATCOM, to appear, Jan. 2008.
    • (2008) MATCOM
    • Benrejeb, M.1    Sakly, A.2    Ben Othman, K.3    Borne, P.4
  • 8
    • 79956118745 scopus 로고    scopus 로고
    • New discrete TSK fuzzy systems characterization and stability domain
    • M. Benrejeb, D. Soudani, A. Sakly, P. Borne, "New discrete TSK fuzzy systems characterization and stability domain," IJCCC, Vol. I, n°4, pp. 9-19, 2006.
    • (2006) IJCCC , vol.1 , Issue.4 , pp. 9-19
    • Benrejeb, M.1    Soudani, D.2    Sakly, A.3    Borne, P.4
  • 9
    • 65549124288 scopus 로고
    • Non linear system stability. Vector norm approach
    • t.5, Pergamon Press
    • P. Borne, "Non linear system stability. Vector norm approach," System and Control Encyclopedia, t.5, pp. 3402-3406, Pergamon Press, 1987.
    • (1987) System and Control Encyclopedia , pp. 3402-3406
    • Borne, P.1
  • 10
    • 85048645460 scopus 로고
    • On the stability of a class of interconnected systems
    • Fredericton
    • P. Borne, M. Benrejeb, "On the stability of a class of interconnected systems," IFAC Symposium MVTS, Fredericton, pp. 261-267, 1977.
    • (1977) IFAC Symposium MVTS , pp. 261-267
    • Borne, P.1    Benrejeb, M.2
  • 12
    • 0023580665 scopus 로고
    • Stability analysis of fuzzy control - A Lyapunov approach
    • Y.Y. Chen, "Stability analysis of fuzzy control - A Lyapunov approach," IEEE Annual Conference on SMC, Vol. 3, pp. 1027-1031, 1987.
    • (1987) IEEE Annual Conference on SMC , vol.3 , pp. 1027-1031
    • Chen, Y.Y.1
  • 13
    • 61849164864 scopus 로고    scopus 로고
    • Analyse multimodéle
    • USTL, Lille
    • F. Delmote, "Analyse multimodéle," Doctor Thesis, USTL, Lille, 1997.
    • (1997) Doctor Thesis
    • Delmote, F.1
  • 16
    • 0012548881 scopus 로고
    • Théorie des matrices
    • Ed. Dunod, Paris
    • F.R. Gantmacher, Théorie des matrices, Ed. Dunod, Paris, 1966.
    • (1966)
    • Gantmacher, F.R.1
  • 17
    • 84871873875 scopus 로고
    • Stabilité des systémes continus non linéaires de grande dimension
    • Août, J-3
    • J.C. Gentina, P. Borne, F. Laurent, "Stabilité des systémes continus non linéaires de grande dimension," RAIRO, Août, J-3, pp. 69-77, 1972.
    • (1972) RAIRO , pp. 69-77
    • Gentina, J.C.1    Borne, P.2    Laurent, F.3
  • 19
    • 85047695878 scopus 로고
    • Non Lyapunov stability analysis of large-scale systems on time varying sets
    • L.T. Grujic, "Non Lyapunov stability analysis of large-scale systems on time varying sets," Int. J. Control, Vol. 21, n°3, pp. 401-415, 1975.
    • (1975) Int. J. Control , vol.21 , Issue.3 , pp. 401-415
    • Grujic, L.T.1
  • 20
    • 0019541522 scopus 로고
    • On absolute stability and the Aizerman conjecture
    • Automatica
    • L.T. Grujic, "On absolute stability and the Aizerman conjecture," Automatica, Vol. 17, pp. 335-349, 1981.
    • (1981) , vol.17 , pp. 335-349
    • Grujic, L.T.1
  • 22
    • 0017014271 scopus 로고
    • General aggregation of large scale systems by vector Lyapunov functions and vector norms
    • L.T. Grujic, J.C. Gentina, P. Borne, "General aggregation of large scale systems by vector Lyapunov functions and vector norms," Int. J. of Control, Vol. 24, n°4, pp. 529-550, 1976.
    • (1976) Int. J. of Control , vol.24 , Issue.4 , pp. 529-550
    • Grujic, L.T.1    Gentina, J.C.2    Borne, P.3
  • 23
    • 0018056228 scopus 로고
    • Sur la stabilité des systémes de grande dimension. Fonctions de Lyapunov vectorielles
    • L.T. Grujic, J.C. Gentina, P. Borne, C. Burgat, J. Bernoussou, "Sur la stabilité des systémes de grande dimension. Fonctions de Lyapunov vectorielles," RAIRO Aut./Sys. Anal. and Cont., Vol. 12, n°4, pp. 319-348, 1978.
    • (1978) RAIRO Aut./Sys. Anal. and Cont. , vol.12 , Issue.4 , pp. 319-348
    • Grujic, L.T.1    Gentina, J.C.2    Borne, P.3    Burgat, C.4    Bernoussou, J.5
  • 24
    • 0015768329 scopus 로고
    • Asymptotic stability and instability of large scale systems
    • Dec
    • L.T. Grujic, D.D. Siljak, "Asymptotic stability and instability of large scale systems," IEEE Trans. on Auto. Control, Vol. 18, n°6, Dec. 1973.
    • (1973) IEEE Trans. on Auto. Control , vol.18 , Issue.6
    • Grujic, L.T.1    Siljak, D.D.2
  • 26
    • 84876988316 scopus 로고    scopus 로고
    • Analyse et synthése de processus dynamiques par approche multimod?cle
    • ENIT, Tunis
    • M. Kannou, "Analyse et synthése de processus dynamiques par approche multimod?cle," Doctor Thesis, ENIT, Tunis, 2005.
    • (2005) Doctor Thesis
    • Kannou, M.1
  • 27
    • 0002441607 scopus 로고
    • Analysis of a fuzzy logic controller
    • Fuzzy Sets and Systems
    • W.J. Kickert, E.H. Mamdani, "Analysis of a fuzzy logic controller," Fuzzy Sets and Systems, Vol. 1, pp. 29-44, 1978.
    • (1978) , vol.1 , pp. 29-44
    • Kickert, W.J.1    Mamdani, E.H.2
  • 28
    • 3042949632 scopus 로고
    • Harmonic balance for fuzzy control systems
    • Aachen, Sept.
    • H. Kiendl, "Harmonic balance for fuzzy control systems," EUFIT, Aachen, pp. 137-141, Sept., 1993.
    • (1993) EUFIT , pp. 137-141
    • Kiendl, H.1
  • 29
    • 0003814411 scopus 로고    scopus 로고
    • Contribution á la commande multimodéle de processus complexes
    • USTL, Lille
    • M. Ksouri-Lahmari, "Contribution á la commande multimodéle de processus complexes," Doctor Thesis, USTL, Lille, 1999.
    • (1999) Doctor Thesis
    • Ksouri-Lahmari, M.1
  • 31
    • 0001525304 scopus 로고
    • Probléme général de la stabilité du mouvement
    • (in French),Reprinted in Ann. Math. Study, Princeton University Press, 1949
    • A. M. Lyapunov, "Probléme général de la stabilité du mouvement. (in French)," Ann. Fac. Sci. Toulouse, Vol. 9, pp. 203-474, 1907, Reprinted in Ann. Math. Study, Princeton University Press, n°17, 1949.
    • (1907) Ann. Fac. Sci. Toulouse , vol.9 , Issue.17 , pp. 203-474
    • Lyapunov, A.M.1
  • 32
    • 33646742894 scopus 로고
    • On the theory of stability of motion
    • V.M. Matrosov, "On the theory of stability of motion," Prikl. Mat. Mekh., Vol. 26, pp. 992-1002, 1962.
    • (1962) Prikl. Mat. Mekh. , vol.26 , pp. 992-1002
    • Matrosov, V.M.1
  • 33
    • 0021393248 scopus 로고
    • Application of circle criteria for stability analysis associated with fuzzy logic controller
    • K.S. Ray, D.D. Majumder, "Application of circle criteria for stability analysis associated with fuzzy logic controller," IEEE Trans. on Syst. Man and Cyber., Vol. 14, pp. 345-349, 1984.
    • (1984) IEEE Trans. on Syst. Man and Cyber. , vol.14 , pp. 345-349
    • Ray, K.S.1    Majumder, D.D.2
  • 35
    • 0346595836 scopus 로고
    • Normes vectorielles de vecteurs et de matrices
    • F. Robert, "Normes vectorielles de vecteurs et de matrices," R.F.T.I. Chiffres, Vol. 17, n°4, pp. 261-299, 1964.
    • (1964) R.F.T.I. Chiffres , vol.17 , Issue.4 , pp. 261-299
    • Robert, F.1
  • 36
    • 0015433091 scopus 로고
    • Stability of large scale systems under structural perturbations
    • Nov
    • D.D. Siljak, "Stability of large scale systems under structural perturbations," IEEE Trans. on Syst. Man and Cyber., Vol. 2, n°5, Nov., 1972.
    • (1972) IEEE Trans. on Syst. Man and Cyber. , vol.2 , Issue.5
    • Siljak, D.D.1
  • 37
    • 45449126257 scopus 로고
    • Structure identification of fuzzy model
    • M. Sugeno, G.T. Kang, "Structure identification of fuzzy model," Fuzzy Sets and Systems, Vol. 28, pp. 15-33, 1988.
    • (1988) Fuzzy Sets and Systems , vol.28 , pp. 15-33
    • Sugeno, M.1    Kang, G.T.2
  • 38
    • 0033115248 scopus 로고    scopus 로고
    • On stability of fuzzy systems expressed by fuzzy rules with singleton consequents
    • M. Sugeno, "On stability of fuzzy systems expressed by fuzzy rules with singleton consequents," IEEE Trans. on Fuzzy Systems, Vol. 7, no 2, pp. 201-224, 1999.
    • (1999) IEEE Trans. on Fuzzy Systems , vol.7 , Issue.2 , pp. 201-224
    • Sugeno, M.1
  • 39
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its applications to modeling and control
    • T. Takagi, M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. on Syst. Man and Cyber., Vol. 15, n°1, pp. 16-132, 1985.
    • (1985) IEEE Trans. on Syst. Man and Cyber. , vol.15 , Issue.1 , pp. 16-132
    • Takagi, T.1    Sugeno, M.2
  • 40
    • 0026644930 scopus 로고
    • Stability analysis and design of fuzzy control systems
    • K. Tanaka, M. Sano, "Stability analysis and design of fuzzy control systems," Fuzzy Sets and Systems, Vol. 45, pp. 135-156, 1992.
    • (1992) Fuzzy Sets and Systems , vol.45 , pp. 135-156
    • Tanaka, K.1    Sano, M.2
  • 41
    • 0033116173 scopus 로고    scopus 로고
    • Stabilizing controller design for uncertain nonlinear systems using fuzzy models
    • M.C.M. Teixeira, S.H. Zak, "Stabilizing controller design for uncertain nonlinear systems using fuzzy models," IEEE Trans. on Fuzzy Systems, Vol. 7, no 2, pp. 133-142, 1999.
    • (1999) IEEE Trans. on Fuzzy Systems , vol.7 , Issue.2 , pp. 133-142
    • Teixeira, M.C.M.1    Zak, S.H.2
  • 42
    • 0030082891 scopus 로고    scopus 로고
    • An approach to fuzzy control of nonlinear systems: Stability and design issues
    • H.O. Wang, K. Tanaka, M.F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Systems, Vol. 4, pp. 14-23, 1996.
    • (1996) IEEE Trans. Fuzzy Systems , vol.4 , pp. 14-23
    • Wang, H.O.1    Tanaka, K.2    Griffin, M.F.3
  • 43
    • 0027591320 scopus 로고
    • Stable adaptive fuzzy control of nonlinear systems
    • L.X. Wang, "Stable adaptive fuzzy control of nonlinear systems," IEEE Trans. on Fuzzy Systems, Vol. 1, pp. 146-155, 1993.
    • (1993) IEEE Trans. on Fuzzy Systems , vol.1 , pp. 146-155
    • Wang, L.X.1
  • 44
    • 3042648797 scopus 로고    scopus 로고
    • Stability and stabilization of fuzzy large-scale systems
    • W.Wen-June, L. Leh, "Stability and stabilization of fuzzy large-scale systems," IEEE Trans. on Fuzzy Syst., Vol. 12, n°3, pp. 309-315, 2004.
    • (2004) IEEE Trans. on Fuzzy Syst. , vol.12 , Issue.3 , pp. 309-315
    • Wen-June, W.1    Leh, L.2


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