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Volumn 4, Issue 10, 2010, Pages 2097-2108

Robust stability testing function and Kharitonov-like theorem for fractional order interval systems

Author keywords

[No Author keywords available]

Indexed keywords

BIBO-STABILITY; FRACTIONAL ORDER; INPUT-BOUNDED; INTERVAL SYSTEMS; LOWER AND UPPER BOUNDS; NUMERICAL EXAMPLE; ROBUST STABILITY; SUFFICIENT CONDITIONS;

EID: 78149239102     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2009.0485     Document Type: Article
Times cited : (72)

References (24)
  • 3
    • 51449091068 scopus 로고    scopus 로고
    • Sabatier, J., Agrawal, O.P., Machado, J.A.T., (Springer, The Netherlands)
    • Sabatier, J., Agrawal, O.P., Machado, J.A.T.,'Advances in fractional calculus', (Springer, The Netherlands, 2007)
    • (2007) Advances in Fractional Calculus
  • 5
    • 0002731965 scopus 로고    scopus 로고
    • Stability result for fractional differential equations with applications to control processing
    • Lille, France, July
    • Matignon, D.:'Stability result for fractional differential equations with applications to control processing', IMACS-SMC Proc., Lille, France, July, 1996, p. 963-968
    • (1996) IMACS-SMC Proc. , pp. 963-968
    • Matignon, D.1
  • 6
    • 0001110962 scopus 로고    scopus 로고
    • Coprime factorizations and stability of fractional differential systems
    • 0167-6911
    • Bonnet, C., and Partington, J.R.:'Coprime factorizations and stability of fractional differential systems', Syst. Control Lett., 2000, 41, p. 167-174 0167-6911
    • (2000) Syst. Control Lett. , vol.41 , pp. 167-174
    • Bonnet, C.1    Partington, J.R.2
  • 7
    • 0036642801 scopus 로고    scopus 로고
    • Analysis of fractional delay systems of retarded and neutral type
    • 0005-1098
    • Bonnet, C., and Partington, J.R.:'Analysis of fractional delay systems of retarded and neutral type', Automatica, 2002, 38, p. 1133-1138 0005-1098
    • (2002) Automatica , vol.38 , pp. 1133-1138
    • Bonnet, C.1    Partington, J.R.2
  • 10
    • 0001725231 scopus 로고
    • Asymptotic stability of an equilibrium position of a family of systems of linear differential equations
    • 0012-2661
    • Kharitonov, V.L.:'Asymptotic stability of an equilibrium position of a family of systems of linear differential equations', Differ. Uravn., 1978, 14, p. 2086-2088 0012-2661
    • (1978) Differ. Uravn. , vol.14 , pp. 2086-2088
    • Kharitonov, V.L.1
  • 11
    • 0024610765 scopus 로고
    • A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations
    • 0018-9286
    • Barmish, B.R.:'A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations', IEEE Trans. Autom. Control, 1989, 34, (2), p. 157-165 0018-9286
    • (1989) IEEE Trans. Autom. Control , vol.34 , Issue.2 , pp. 157-165
    • Barmish, B.R.1
  • 12
    • 61549083723 scopus 로고    scopus 로고
    • Robust stability analysis of fractional order interval polynomials
    • Tan, N., Ozguven, O.F., and Ozyetkin, M.M.:'Robust stability analysis of fractional order interval polynomials', ISA Trans., 2009, 48, p. 166-172
    • (2009) ISA Trans. , vol.48 , pp. 166-172
    • Tan, N.1    Ozguven, O.F.2    Ozyetkin, M.M.3
  • 13
    • 20844454030 scopus 로고    scopus 로고
    • A robust stability test procedure for a class of uncertain LTI fractional order systems
    • Malenovice, Czech Republic, May
    • Petras, I., Chen, Y.Q., and Vinagre, B.M.:'A robust stability test procedure for a class of uncertain LTI fractional order systems', Proc. Int. Carpathian Control Conf., (ICCC 2002), Malenovice, Czech Republic, May, 2002, p. 247-252
    • (2002) Proc. Int. Carpathian Control Conf., (ICCC 2002) , pp. 247-252
    • Petras, I.1    Chen, Y.Q.2    Vinagre, B.M.3
  • 14
    • 20844444133 scopus 로고    scopus 로고
    • Stability of linear time invariant systems with interval fractional orders and interval coefficients
    • 30 August-1 September
    • Petras, I., Chen, Y.Q., Vinagre, B.M., and Podlubny, I.:'Stability of linear time invariant systems with interval fractional orders and interval coefficients', Proc. Int. Conf. on Computational Cybernetics, (ICCC 2004), 30 August-1 September, 2004, p. 341-346
    • (2004) Proc. Int. Conf. on Computational Cybernetics, (ICCC 2004) , pp. 341-346
    • Petras, I.1    Chen, Y.Q.2    Vinagre, B.M.3    Podlubny, I.4
  • 15
    • 55249087154 scopus 로고    scopus 로고
    • Necessary and sufficient stability condition of fractional-order interval linear systems
    • 0005-1098
    • Ahn, H.S., and Chen, Y.Q.:'Necessary and sufficient stability condition of fractional-order interval linear systems', Automatica, 2008, 44, p. 2985-2988 0005-1098
    • (2008) Automatica , vol.44 , pp. 2985-2988
    • Ahn, H.S.1    Chen, Y.Q.2
  • 16
    • 34247502196 scopus 로고    scopus 로고
    • Robust stability test of a class of linear time-invariant interval fractional order system using Lyapunov inequality
    • 0096-3003
    • Ahn, H.S., Chen, Y.Q., and Podlubny, I.:'Robust stability test of a class of linear time-invariant interval fractional order system using Lyapunov inequality', Appl. Math. Comput., 2007, 187, p. 27-34 0096-3003
    • (2007) Appl. Math. Comput. , vol.187 , pp. 27-34
    • Ahn, H.S.1    Chen, Y.Q.2    Podlubny, I.3
  • 17
    • 0004026166 scopus 로고
    • (American Mathematical Society, Providence, RI)
    • Marden, M.:'Geometry of polynomials', (American Mathematical Society, Providence, RI, 1966)
    • (1966) Geometry of Polynomials
    • Marden, M.1
  • 18
    • 74149085532 scopus 로고    scopus 로고
    • On robust stability of LTI fractional-order delay systems of retarded and neutral type
    • 0005-1098
    • Akbari Moornani, K., and Haeri, M.:'On robust stability of LTI fractional-order delay systems of retarded and neutral type', Automatica, 2010, 46, p. 362-368 0005-1098
    • (2010) Automatica , vol.46 , pp. 362-368
    • Akbari Moornani, K.1    Haeri, M.2
  • 20
    • 0024731760 scopus 로고
    • An elementary proof of Kharitonov's stability theorem with extensions
    • 0018-9286
    • Minnichelli, R.J., Anagnost, J.J., and Desoer, C.A.:'An elementary proof of Kharitonov's stability theorem with extensions', IEEE Trans. Autom. Control, 1989, 34, (9), p. 995-998 0018-9286
    • (1989) IEEE Trans. Autom. Control , vol.34 , Issue.9 , pp. 995-998
    • Minnichelli, R.J.1    Anagnost, J.J.2    Desoer, C.A.3
  • 22
    • 0032653954 scopus 로고    scopus 로고
    • μ- controllers
    • 0018-9286
    • μ-controllers', IEEE Trans. Autom. Control, 1999, 44, (1), p. 208-214 0018-9286
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.1 , pp. 208-214
    • Podlubny, I.1
  • 23
    • 33645135087 scopus 로고    scopus 로고
    • A numerical algorithm for stability testing of fractional delay systems
    • 0005-1098
    • Hwang, C., and Cheng, Y.C.:'A numerical algorithm for stability testing of fractional delay systems', Automatica, 2006, 42, p. 825-831 0005-1098
    • (2006) Automatica , vol.42 , pp. 825-831
    • Hwang, C.1    Cheng, Y.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.