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Volumn 283, Issue 1, 2003, Pages 276-286

Exponential stability and partial averaging

Author keywords

Averaging; Exponential stability; Perturbation; Time varying differential equation

Indexed keywords


EID: 0041656346     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00290-7     Document Type: Article
Times cited : (10)

References (10)
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    • Aeyels, D.1    Peuteman, J.2
  • 2
    • 0032326261 scopus 로고    scopus 로고
    • Stability in the presence of singular perturbations
    • Z. Artstein, Stability in the presence of singular perturbations, Nonlinear Anal. 34 (1998) 817-827.
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    • Artstein, Z.1
  • 3
    • 0002274670 scopus 로고    scopus 로고
    • An averaging theorem for time-periodic degree zero homogeneous differential equations
    • R.T. M'Closkey, An averaging theorem for time-periodic degree zero homogeneous differential equations, Systems Control Lett. 32 (1997) 179-183.
    • (1997) Systems Control Lett. , vol.32 , pp. 179-183
    • M'Closkey, R.T.1
  • 4
    • 0035412735 scopus 로고    scopus 로고
    • Exponential stability via the averaged system
    • G. Grammel, Exponential stability via the averaged system, J. Dynam. Control Systems 7 (2001) 327-338.
    • (2001) J. Dynam. Control Systems , vol.7 , pp. 327-338
    • Grammel, G.1
  • 5
    • 0001110622 scopus 로고    scopus 로고
    • Singularly perturbed differential inclusions: An averaging approach
    • G. Grammel, Singularly perturbed differential inclusions: An averaging approach, Set-Valued Anal. 4 (1996) 361-374.
    • (1996) Set-Valued Anal. , vol.4 , pp. 361-374
    • Grammel, G.1
  • 6
    • 0003556237 scopus 로고
    • Analysis and Simulation of Chaotic Systems
    • Springer, New York
    • F.C. Hoppensteadt, Analysis and Simulation of Chaotic Systems, Springer, New York, 1993.
    • (1993)
    • Hoppensteadt, F.C.1
  • 7
    • 0005264460 scopus 로고    scopus 로고
    • Exponential stability of nonlinear time-varying differential equations and partial averaging
    • J. Peuteman, D. Aeyels, Exponential stability of nonlinear time-varying differential equations and partial averaging, Math. Control Signals Systems 15 (2002) 42-70.
    • (2002) Math. Control Signals Systems , vol.15 , pp. 42-70
    • Peuteman, J.1    Aeyels, D.2
  • 9
    • 0034442361 scopus 로고    scopus 로고
    • Averaging with respect to arbitrary closed sets: Closeness of solutions for systems with disturbances
    • Proceedings of the 39th IEEE CDC
    • A.R. Teel, D. Nesic, L. Moreau, Averaging with respect to arbitrary closed sets: closeness of solutions for systems with disturbances, in: Proceedings of the 39th IEEE CDC, 2000, pp. 4361-4367.
    • (2000) , pp. 4361-4367
    • Teel, A.R.1    Nesic, D.2    Moreau, L.3
  • 10
    • 0000591882 scopus 로고    scopus 로고
    • Semi-global practical asymptotic stability and averaging
    • A.R. Teel, J. Peuteman, D. Aeyels, Semi-global practical asymptotic stability and averaging, Systems Control Lett. 37 (1999) 329-334.
    • (1999) Systems Control Lett. , vol.37 , pp. 329-334
    • Teel, A.R.1    Peuteman, J.2    Aeyels, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.