메뉴 건너뛰기




Volumn 12, Issue 6, 2007, Pages 869-875

Exponential stability of nonlinear differential equations in the presence of perturbations or delays

Author keywords

Delay; Exponential stability; Nonautonomous systems; Nonlinear differential equation; Perturbation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; VECTORS;

EID: 33846852213     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2005.11.009     Document Type: Article
Times cited : (8)

References (9)
  • 1
    • 0033148910 scopus 로고    scopus 로고
    • On exponential stability of nonlinear time-varying differential equations
    • Aeyels D., and Peuteman J. On exponential stability of nonlinear time-varying differential equations. Automatica 35 (1999) 1091-1100
    • (1999) Automatica , vol.35 , pp. 1091-1100
    • Aeyels, D.1    Peuteman, J.2
  • 2
    • 0022217108 scopus 로고
    • On linearly perturbed linear systems
    • Aulbach B. On linearly perturbed linear systems. J Math Anal Appl 112 (1985) 317-327
    • (1985) J Math Anal Appl , vol.112 , pp. 317-327
    • Aulbach, B.1
  • 3
    • 0041656346 scopus 로고    scopus 로고
    • Exponential stability and partial averaging
    • Grammel G., and Maizurna I. Exponential stability and partial averaging. J Math Anal Appl 283 (2003) 276-286
    • (2003) J Math Anal Appl , vol.283 , pp. 276-286
    • Grammel, G.1    Maizurna, I.2
  • 4
    • 0348233993 scopus 로고    scopus 로고
    • Robustness with respect to small delays for exponential stability of nonautonomous systems
    • Guo F., Yu W., and Huang F. Robustness with respect to small delays for exponential stability of nonautonomous systems. J Math Anal Appl 288 (2003) 671-679
    • (2003) J Math Anal Appl , vol.288 , pp. 671-679
    • Guo, F.1    Yu, W.2    Huang, F.3
  • 5
    • 0000484361 scopus 로고    scopus 로고
    • Effects of small delays on stability and control
    • Bart H., et al. (Ed), Birkhäuser, Basel
    • Hale J.K., Verduyn Lunel S.M., and Sjoerd M. Effects of small delays on stability and control. In: Bart H., et al. (Ed). Operator Theory Adv Appl 122 (2001), Birkhäuser, Basel 275-301
    • (2001) Operator Theory Adv Appl , vol.122 , pp. 275-301
    • Hale, J.K.1    Verduyn Lunel, S.M.2    Sjoerd, M.3
  • 6
    • 1642394120 scopus 로고    scopus 로고
    • Exponential stability for a class of nonlinear systems with time-delays in both state and controls
    • Li J., Song W., and Ding Z. Exponential stability for a class of nonlinear systems with time-delays in both state and controls. IMA J Math Control Inform 20 (2003) 347-357
    • (2003) IMA J Math Control Inform , vol.20 , pp. 347-357
    • Li, J.1    Song, W.2    Ding, Z.3
  • 7
    • 0347244320 scopus 로고    scopus 로고
    • Exponential stability of nonlinear differential delay equations
    • Mao X. Exponential stability of nonlinear differential delay equations. Syst Control Lett 28 (1996) 159-165
    • (1996) Syst Control Lett , vol.28 , pp. 159-165
    • Mao, X.1
  • 8
    • 0005264460 scopus 로고    scopus 로고
    • Exponential stability of nonlinear time-varying differential equations and partial averaging
    • Peuteman J., and Aeyels D. Exponential stability of nonlinear time-varying differential equations and partial averaging. Math Control Signals Syst 15 (2002) 42-70
    • (2002) Math Control Signals Syst , vol.15 , pp. 42-70
    • Peuteman, J.1    Aeyels, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.