메뉴 건너뛰기




Volumn 55, Issue 1, 2010, Pages 152-158

Robust stability and stabilization of fractional-order interval systems with the fractional order α The 0<α< 1 case

Author keywords

Fractional order (FO) system; Interval system; Linear matrix inequality (LMI); Stability; Stabilization

Indexed keywords

ASYMPTOTICAL STABILITY; FRACTIONAL ORDER; ILLUSTRATIVE EXAMPLES; INTERVAL SYSTEM; INTERVAL SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); ROBUST STABILITY; STABILIZING CONTROLLERS; SUFFICIENT AND NECESSARY CONDITION; SUFFICIENT CONDITIONS; TECHNICAL NOTES;

EID: 75449099727     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2009.2033738     Document Type: Article
Times cited : (425)

References (22)
  • 2
    • 15544369413 scopus 로고    scopus 로고
    • Special issue on fractional calculus and applications
    • Mar.
    • J. A. T. Machado, "Special issue on fractional calculus and applications," Nonlin. Dynam., vol.29, pp. 1-385, Mar. 2002.
    • (2002) Nonlin. Dynam. , vol.29 , pp. 1-385
    • MacHado, J.A.T.1
  • 3
    • 0141892682 scopus 로고    scopus 로고
    • Special issue on fractional signal processing and applications
    • Nov.
    • M. D. Ortigueira and J. A. T. Machado, "Special issue on fractional signal processing and applications," Signal Processing, vol.83, no.11, pp. 2285-2480, Nov. 2003.
    • (2003) Signal Processing , vol.83 , Issue.11 , pp. 2285-2480
    • Ortigueira, M.D.1    MacHado, J.A.T.2
  • 4
    • 0000196448 scopus 로고
    • Basic characteristics of a fractance device
    • M. Nakagava and K. Sorimachi, "Basic characteristics of a fractance device," IEICE Trans. Fund., vol.E75-A, no.12, pp. 1814-1818, 1992.
    • (1992) IEICE Trans. Fund. , vol.E75-A , Issue.12 , pp. 1814-1818
    • Nakagava, M.1    Sorimachi, K.2
  • 6
    • 0032653954 scopus 로고    scopus 로고
    • Fractional-order systems and -controllers
    • Jan.
    • I. Podlubny, "Fractional-order systems and -controllers," IEEE Trans. Autom. Control, vol.44, no.1, pp. 208-214, Jan. 1999.
    • (1999) IEEE Trans. Autom. Control , vol.44 , Issue.1 , pp. 208-214
    • Podlubny, I.1
  • 7
    • 0343715573 scopus 로고    scopus 로고
    • State-space representation for fractional order controllers
    • H. Raynaud and A. Zergaïnoh, "State-space representation for fractional order controllers," Automatica, vol.36, pp. 1017-1021, 2000.
    • (2000) Automatica , vol.36 , pp. 1017-1021
    • Raynaud, H.1    Zergaïnoh, A.2
  • 8
    • 85019485305 scopus 로고
    • The CRONE control of resonant plants: Application to a flexible transmission
    • A. Oustaloup, B. Mathieu, and P. Lanusse, "The CRONE control of resonant plants: Application to a flexible transmission," Eur. J. Control, vol.1, no.2, pp. 113-121, 1995.
    • (1995) Eur. J. Control , vol.1 , Issue.2 , pp. 113-121
    • Oustaloup, A.1    Mathieu, B.2    Lanusse, P.3
  • 9
    • 0023997891 scopus 로고
    • Stability of viscoelastic control systems
    • Apr.
    • S. B. Skaar, A. N. Michel, and R. K. Miller, "Stability of viscoelastic control systems," IEEE Trans. Autom. Control, vol.AC-33, no.4, pp. 348-357, Apr. 1988.
    • (1988) IEEE Trans. Autom. Control , vol.AC-33 , Issue.4 , pp. 348-357
    • Skaar, S.B.1    Michel, A.N.2    Miller, R.K.3
  • 10
    • 0002731965 scopus 로고    scopus 로고
    • Stability result on fractional differential equations with applications to control processing
    • IEEE-SMC, Lille, France, Jul.
    • D. Matignon, "Stability result on fractional differential equations with applications to control processing," in Proc. IMACS, IEEE-SMC, Lille, France, Jul. 1996, pp. 963-968.
    • (1996) Proc. IMACS , pp. 963-968
    • Matignon, D.1
  • 11
    • 0036642801 scopus 로고    scopus 로고
    • Analysis of fractional delay systems of retarded and neutral type
    • C. Bonnet and J. R. Partington, "Analysis of fractional delay systems of retarded and neutral type," Automatica, vol.38, no.7, pp. 1133-1138, 2002.
    • (2002) Automatica , vol.38 , Issue.7 , pp. 1133-1138
    • Bonnet, C.1    Partington, J.R.2
  • 12
    • 33645135087 scopus 로고    scopus 로고
    • A numerical algorithm for stability testing of fractional delay systems
    • C.Hwang and Y. C. Cheng, "A numerical algorithm for stability testing of fractional delay systems," Automatica, vol.42, pp. 825-831, 2006.
    • (2006) Automatica , vol.42 , pp. 825-831
    • Hwang, C.1    Cheng, Y.C.2
  • 14
    • 20844444133 scopus 로고    scopus 로고
    • Stability of linear time invariant systems with interval fractional orders and interval coefficients
    • Viena, Austria, August 30-September 1
    • I. Petráš, Y. Q. Chen, B. M. Vinagre, and I. Podlubny, "Stability of linear time invariant systems with interval fractional orders and interval coefficients," in Proc. Int. Conf. Comput. Cybern. (ICCC'04), Viena, Austria, August 30-September 1 2005, pp. 1-4.
    • (2005) Proc. Int. Conf. Comput. Cybern. (ICCC'04) , pp. 1-4
    • Petráš, I.1    Chen, Y.Q.2    Vinagre, B.M.3    Podlubny, I.4
  • 15
    • 33745872964 scopus 로고    scopus 로고
    • Robust stability check of fractional order linear time invariant systems with interval uncertainties
    • Y. Q. Chen, H. S. Ahn, and I. Podlubny, "Robust stability check of fractional order linear time invariant systems with interval uncertainties," Signal Processing, vol.86, pp. 2611-2618, 2006.
    • (2006) Signal Processing , vol.86 , pp. 2611-2618
    • Chen, Y.Q.1    Ahn, H.S.2    Podlubny, I.3
  • 16
    • 34247502196 scopus 로고    scopus 로고
    • Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
    • H. S. Ahn, Y. Q. Chen, and I. Podlubny, "Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality," Appl. Math. Comput., vol.187, no.1, pp. 27-34, 2007.
    • (2007) Appl. Math. Comput. , vol.187 , Issue.1 , pp. 27-34
    • Ahn, H.S.1    Chen, Y.Q.2    Podlubny, I.3
  • 17
    • 55249087154 scopus 로고    scopus 로고
    • Necessary and sufficient stability condition of fractional-order interval linear systems
    • H. S. Ahn and Y. Q. Chen, "Necessary and sufficient stability condition of fractional-order interval linear systems," Automatica, vol.44, no.11, pp. 2985-2988, 2008.
    • (2008) Automatica , vol.44 , Issue.11 , pp. 2985-2988
    • Ahn, H.S.1    Chen, Y.Q.2
  • 18
    • 67649619829 scopus 로고    scopus 로고
    • Robust stability and stabilization of fractional-order interval systems: An LMI approach
    • Jun.
    • J. G. Lu and G. R. Chen, "Robust stability and stabilization of fractional-order interval systems: An LMI approach," IEEE Trans. Autom. Control, vol.54, no.6, pp. 1294-1299, Jun. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.6 , pp. 1294-1299
    • Lu, J.G.1    Chen, G.R.2
  • 20
    • 0023310712 scopus 로고
    • A stabilization algorithm for a class of uncertain linear systems
    • I. R. Petersen, "A stabilization algorithm for a class of uncertain linear systems," Syst. Control Lett., vol.8, pp. 351-357, 1987.
    • (1987) Syst. Control Lett. , vol.8 , pp. 351-357
    • Petersen, I.R.1
  • 21
    • 0025399146 scopus 로고
    • Robust stabilization of uncertain linear systems: Quadratic stabilizability and control theory
    • Mar.
    • P. P. Khargonekar, I. R. Petersen, and K. Zhou, "Robust stabilization of uncertain linear systems: Quadratic stabilizability and control theory," IEEE Trans. Autom. Control, vol.35, no.3, pp. 356-361, Mar. 1990.
    • (1990) IEEE Trans. Autom. Control , vol.35 , Issue.3 , pp. 356-361
    • Khargonekar, P.P.1    Petersen, I.R.2    Zhou, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.