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Volumn 56, Issue 7, 2004, Pages 951-960

A sufficient condition for the uniform exponential stability of time-varying systems with noise

Author keywords

Averaging; Differential inclusion; Exponential stability

Indexed keywords

ACOUSTIC WAVES; ASYMPTOTIC STABILITY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; SET THEORY; TRAJECTORIES;

EID: 0742272525     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2003.10.017     Document Type: Article
Times cited : (3)

References (12)
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    • Aeyels, D.1    Peuteman, J.2
  • 2
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    • Stability in the presence of singular perturbations
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  • 4
    • 0026925030 scopus 로고
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    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.1
  • 5
    • 0035412735 scopus 로고    scopus 로고
    • Exponential stability via the averaged system
    • Grammel G. Exponential stability via the averaged system. J. Dynamical Control Systems. 7:2001;327-338.
    • (2001) J. Dynamical Control Systems , vol.7 , pp. 327-338
    • Grammel, G.1
  • 6
    • 0041656346 scopus 로고    scopus 로고
    • Exponential stability and partial averaging
    • Grammel G., Maizurna I. Exponential stability and partial averaging. J. Math. Anal. Appl. 253:2003;276-286.
    • (2003) J. Math. Anal. Appl. , vol.253 , pp. 276-286
    • Grammel, G.1    Maizurna, I.2
  • 7
    • 0002274670 scopus 로고    scopus 로고
    • An averaging theorem for time-periodic degree zero homogeneous differential equations
    • M'Closkey R.T. 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
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  • 8
    • 0005264460 scopus 로고    scopus 로고
    • Exponential stability of nonlinear time-varying differential equations and partial averaging
    • Peuteman J., Aeyels D. 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
    • 0001471520 scopus 로고
    • Averaging method for differential inclusions and its application to optimal control problems
    • Plotnikov V.A. Averaging method for differential inclusions and its application to optimal control problems. Differential Equations. 15:1979;1013-1018.
    • (1979) Differential Equations , vol.15 , pp. 1013-1018
    • Plotnikov, V.A.1
  • 12
    • 0000591882 scopus 로고    scopus 로고
    • Semi-global practical asymptotic stability and averaging
    • Teel A.R., Peuteman J., Aeyels D. 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.