메뉴 건너뛰기




Volumn 45, Issue 8, 2009, Pages 1965-1969

Mittag-Leffler stability of fractional order nonlinear dynamic systems

Author keywords

Fractional comparison principle; Fractional Lyapunov direct method; Fractional order dynamic system; Mittag Leffler stability; Nonautonomous system

Indexed keywords

FRACTIONAL COMPARISON PRINCIPLE; FRACTIONAL LYAPUNOV DIRECT METHOD; FRACTIONAL ORDER DYNAMIC SYSTEM; MITTAG-LEFFLER STABILITY; NONAUTONOMOUS SYSTEM;

EID: 67649626081     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.04.003     Document Type: Article
Times cited : (1446)

References (20)
  • 1
    • 0020751558 scopus 로고
    • Fractional calculus - A different approach to the analysis of viscoelastically damped structures
    • Bagley R.L., and Torvik P.J. Fractional calculus - A different approach to the analysis of viscoelastically damped structures. AIAA Journal 21 5 (1983) 741-748
    • (1983) AIAA Journal , vol.21 , Issue.5 , pp. 741-748
    • Bagley, R.L.1    Torvik, P.J.2
  • 2
    • 0020765202 scopus 로고
    • A theoretical basis for the application of fractional calculus to viscoelasticity
    • Bagley R.L., and Torvik P.J. A theoretical basis for the application of fractional calculus to viscoelasticity. Journal of Theology 27 3 (1983) 201-210
    • (1983) Journal of Theology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 4
    • 0036650867 scopus 로고    scopus 로고
    • Analytical stability bound for a class of delayed fractional order dynamic systems
    • Chen Y.Q., and Moore K.L. Analytical stability bound for a class of delayed fractional order dynamic systems. Nonlinear Dynamics 29 (2002) 191-200
    • (2002) Nonlinear Dynamics , vol.29 , pp. 191-200
    • Chen, Y.Q.1    Moore, K.L.2
  • 5
    • 0015127532 scopus 로고
    • Memristor - The missing circuit element
    • Chua L.O. Memristor - The missing circuit element. IEEE Transactions on Circuit Theory CT-18 5 (1971) 507-519
    • (1971) IEEE Transactions on Circuit Theory , vol.CT-18 , Issue.5 , pp. 507-519
    • Chua, L.O.1
  • 9
  • 14
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and physical interpretation of fractional integration and fractional differentiation
    • Podlubny I. Geometric and physical interpretation of fractional integration and fractional differentiation. Fractional Calculus and Applied Analysis 5 4 (2002) 367-386
    • (2002) Fractional Calculus and Applied Analysis , vol.5 , Issue.4 , pp. 367-386
    • Podlubny, I.1
  • 15
    • 33745869026 scopus 로고    scopus 로고
    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • Podlubny I., and Heymans N. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheologica Acta 45 5 (2006) 765-772
    • (2006) Rheologica Acta , vol.45 , Issue.5 , pp. 765-772
    • Podlubny, I.1    Heymans, N.2
  • 18
    • 34247363210 scopus 로고    scopus 로고
    • Fractional derivative as fractional power of derivative
    • Tarasov V.E. Fractional derivative as fractional power of derivative. International Journal of Mathematics 18 3 (2007) 281-299
    • (2007) International Journal of Mathematics , vol.18 , Issue.3 , pp. 281-299
    • Tarasov, V.E.1
  • 19
    • 33745759950 scopus 로고    scopus 로고
    • Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics
    • Xu M., and Tan W. Intermediate processes and critical phenomena: Theory, method and progress of fractional operators and their applications to modern mechanics. Science in China: Series G Physics, Mechanics and Astronomy 49 3 (2006) 257-272
    • (2006) Science in China: Series G Physics, Mechanics and Astronomy , vol.49 , Issue.3 , pp. 257-272
    • Xu, M.1    Tan, W.2
  • 20
    • 67649612571 scopus 로고    scopus 로고
    • Extension of Lyapunov second method by fractional calculus
    • 1008-5513(2005)03-0291-04
    • Zhang L.-g., Li J.-m., and Chen G.-p. Extension of Lyapunov second method by fractional calculus. Pure and Applied Mathematics 21 3 (2005) 1008-5513(2005)03-0291-04
    • (2005) Pure and Applied Mathematics , vol.21 , Issue.3
    • Zhang, L.-g.1    Li, J.-m.2    Chen, G.-p.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.