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Volumn 50, Issue 7, 2005, Pages 1051-1054

Remarks on the Lp-input converging-state property

Author keywords

Asymptotic stability; Converse Lyapunov theory; Domain of attraction

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; INITIAL VALUE PROBLEMS; LYAPUNOV METHODS; THEOREM PROVING;

EID: 23144456906     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.851457     Document Type: Article
Times cited : (17)

References (11)
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    • E. D. Sontag, "A remark on the converging-input converging-state property," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 313-314, Feb. 2003.
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  • 2
    • 0038205228 scopus 로고
    • "Asymptotically autonomous differential systems"
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    • (1956) Contributions to the Theory of Nonlinear Oscillations III , pp. 17-29
    • Markus, L.1
  • 3
    • 14244265403 scopus 로고    scopus 로고
    • "Separation principles for input-output and integral-input-to-state stability"
    • D. Angeli, B. Ingalls, E. D. Sontag, and Y. Wang, "Separation principles for input-output and integral-input-to-state stability," SIAM J. Control Optim., vol. 43, pp. 256-276, 2004.
    • (2004) SIAM J. Control Optim. , vol.43 , pp. 256-276
    • Angeli, D.1    Ingalls, B.2    Sontag, E.D.3    Wang, Y.4
  • 6
    • 84968514083 scopus 로고
    • "Smoothing derivatives of functions and applications"
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    • (1969) Trans. Amer. Math. Soc. , vol.139 , pp. 413-428
    • Wilson Jr., F.W.1
  • 7
    • 0040444350 scopus 로고
    • "Construction of a smooth Lyapunov function for an asymptotically stable set"
    • T. Nadzieja, "Construction of a smooth Lyapunov function for an asymptotically stable set," Czech. Math. J., vol. 115, pp. 195-199, 1990.
    • (1990) Czech. Math. J. , vol.115 , pp. 195-199
    • Nadzieja, T.1
  • 8
    • 0037431269 scopus 로고    scopus 로고
    • "Non-autonomous systems: Asymptotic behavior and weak invariance principles"
    • H. Logemann and E. P. Ryan, "Non-autonomous systems: Asymptotic behavior and weak invariance principles," J. Diff. Equations, vol. 189, pp. 440-460, 2003.
    • (2003) J. Diff. Equations , vol.189 , pp. 440-460
    • Logemann, H.1    Ryan, E.P.2
  • 9
    • 0037534020 scopus 로고    scopus 로고
    • "An example of a GAS system which can be destabilized by an integrable perturbation"
    • Jun
    • E. D. Sontag and M. Krichman, "An example of a GAS system which can be destabilized by an integrable perturbation," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 1046-1049, Jun. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.6 , pp. 1046-1049
    • Sontag, E.D.1    Krichman, M.2
  • 10
    • 4344706142 scopus 로고    scopus 로고
    • "Examples of GES systems that can be driven to infinity by arbitrarily small additive decaying exponentials"
    • Aug
    • A. R. Teel and J. Hespanha, "Examples of GES systems that can be driven to infinity by arbitrarily small additive decaying exponentials," IEEE Trans. Autom. Control, vol. 49, no. 8, pp. 1407-1410, Aug. 2004.
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    • Teel, A.R.1    Hespanha, J.2
  • 11
    • 84881166951 scopus 로고
    • "Asymptotically autonomous differential equations in the plane"
    • H. R. Thieme, "Asymptotically autonomous differential equations in the plane," Rocky Mountain J. Math., vol. 24, pp. 351-380, 1994.
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    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.