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ON STABILITY OF LINEAR IMPULSIVE SYSTEMS

최성규|강보원|구남집
장전수학회 (Jangjeon Mathematical Society)|2016.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제19권 제4호|pp. 645-651|DOI 10.17777/pjms.2016.19.4.005

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참고문헌

키워드

linear impulsive di erential systemsimpul- sive integral inequalitiest∞-quasisimilarityh-stability
주제분류수학

초록

In this paper we study stability properties for solutions of linear homogeneous impulsive di erential systems using the notion of t∞-quasisimilarity and the impulsive integral inequality.

Abstract

In this paper we study stability properties for solutions of linear homogeneous impulsive di erential systems using the notion of t∞-quasisimilarity and the impulsive integral inequality.

참고문헌 (13)

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  3. S. K. Choi, "h-Stability in differential systems", Bull. Inst. Acad. Sinica, 21, pp.245~262 (1993)
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  5. S. K. Choi, "h-Stability of differential systems via t1-similarity", Bull. Korean Math. Soc, 34, pp.371~383 (1997)
  6. 최성규, "h-Stability for linear differential systems via t-quasisimilarity", 충청수학회지, 21(1), pp.91~97 (2008), 충청수학회
  7. 최성규, "h-stability of linear impulsive differential equations via similarity", 충청수학회지, 24(2), pp.393~400 (2011), 충청수학회
  8. 최성규, "Stability of linear impulsive differential equations via t∞-similarity", 충청수학회지, 26(4), pp.811~819 (2013), 충청수학회[DOI]
  9. R. Conti, "Sulla t-similitudine tra matrici e la stabilita dei sistemi differenziali lineari", Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat, 8(19), pp.247~250 (1955)
  10. V. Lakshmikantham, "Theory of Impulsive Differ-ential Equations" (1989), World Scientific Publishing Co. Pte. Ltd
  11. M. Pinto, "Perturbations of asymptotically stable differential systems", Analysis, 4, pp.161~175 (1984)
  12. M. Pinto, "Stability of nonlinear differential systems", Applicable Analysis, 43, pp.1~20 (1992)
  13. W. F. Trench, "On t1 quasi-similarity of linear systems", Ann. Mat. Pura Appl, 142, pp.293~302 (1985)

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