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Volumn 15, Issue 1, 2002, Pages 42-70

Exponential stability of nonlinear time-varying differential equations and partial averaging

Author keywords

Averaging; Circle criterion; Differential equations; Exponential stability; Liapunov stability

Indexed keywords

DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; MATHEMATICAL TECHNIQUES; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; STABILITY;

EID: 0005264460     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/s004980200002     Document Type: Article
Times cited : (55)

References (11)
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    • Aeyels, D.1    Peuteman, J.2
  • 2
    • 0033148910 scopus 로고    scopus 로고
    • On exponential stability of non-linear time-varying differential equations
    • D. Aeyels and J. Peuteman, On exponential stability of non-linear time-varying differential equations, Automatica, 35 (1999), 1091-1100.
    • (1999) Automatica , vol.35 , pp. 1091-1100
    • Aeyels, D.1    Peuteman, J.2
  • 3
    • 0009447360 scopus 로고
    • On the convergence of a time-variant linear differential equation arising in identification
    • D. Aeyels and R. Sepulchre, On the convergence of a time-variant linear differential equation arising in identification, Kybernetika, 30 (1994), 715-723.
    • (1994) Kybernetika , vol.30 , pp. 715-723
    • Aeyels, D.1    Sepulchre, R.2
  • 4
    • 0031677211 scopus 로고    scopus 로고
    • Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria
    • D. Aeyels, R. Sepulchre and J. Peuteman, Asymptotic stability for time-variant systems and observability: uniform and nonuniform criteria, Math. Control Signals Systems, 11 (1998), 1-27.
    • (1998) Math. Control Signals Systems , vol.11 , pp. 1-27
    • Aeyels, D.1    Sepulchre, R.2    Peuteman, J.3
  • 5
    • 0017453462 scopus 로고
    • Exponential stability of linear equations arising in adaptive identification
    • B. D. O. Anderson, Exponential stability of linear equations arising in adaptive identification, IEEE Trans. Automat. Control, 22 (1977), 84-88.
    • (1977) IEEE Trans. Automat. Control , vol.22 , pp. 84-88
    • Anderson, B.D.O.1
  • 9
    • 0004178386 scopus 로고    scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • H. K. Khalil, Nonlinear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1996.
    • (1996) Nonlinear Systems
    • Khalil, H.K.1
  • 10
    • 0032683904 scopus 로고    scopus 로고
    • Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying
    • J. Peuteman and D. Aeyels, Averaging results and the study of uniform asymptotic stability of homogeneous differential equations that are not fast time-varying, SIAM J. Control Optim., 37 (1999), 997-1010.
    • (1999) SIAM J. Control Optim. , vol.37 , pp. 997-1010
    • Peuteman, J.1    Aeyels, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.