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Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations

구윤회|최상일
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2015.03|한국수학논문집 (Korean Journal of Mathematics)|제23권 제1호|pp. 181-197|DOI http://dx.doi.org/10.11568/kjm.2015.23.1.181

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키워드

uniformly Lipschitz stabilityuniformly Lipschitz stability in variationexponentially asymptotic stabilityexponentially asymptotic stability in variation.
주제분류수학

초록

In this paper, we investigate Lipschitz and asymptotic stability for perturbed nonlinear differential systems.

Abstract

In this paper, we investigate Lipschitz and asymptotic stability for perturbed nonlinear differential systems.

참고문헌 (15)

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  7. S. K. Choi, "Lipschitz and exponential asymptotic stability for nonlinear functional systems", Dynamic Systems and Applications, 6, pp.397~410 (1997)
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  9. F.M. Dannan, "Lipschitz stability of nonlinear systems of di eren-tial systems", J. Math. Anal. Appl, 113, pp.562~577 (1986)
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  11. P. Gonzalez, "Stability properties of the solutions of the nonlinear functional di erential systems", J. Math. Appl, 181, pp.562~573 (1994)
  12. 구윤회, "h-STABILITY OF THE NONLINEAR DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY", 충청수학회지, 23(2), pp.383~389 (2010), 충청수학회
  13. 구윤회, "BOUNDEDNESS IN PERTURBED DIFFERENTIAL SYSTEMS", Journal of Applied Mathematics and Informatics, 30(1), pp.279~287 (2012), 한국전산응용수학회
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관련 논문AI추천

UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY IN PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS구윤회, Sang Il Choi한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호LIPSCHITZ AND ASYMPTOTIC STABILITY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS구윤회, 최상일한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호LIPSCHITZ AND ASYMPTOTIC STABILITY FOR PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호Uniformly Lipschitz stability and asymptotic property of perturbed functional differential systems구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제1호h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호Boundedness in the nonlinear functional differential systems구윤회, 최상일대한수학회 · 대한수학회논문집2015 · 제30권 제4호

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