Strict stability criteria for impulsive functional differential systems.
Liu, Kaien, Yang, Guowei (2008)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “On Stability in Impulsive Dynamical Systems”
Strict stability criteria for impulsive functional differential systems.
Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method
Drumi D. Bainov, Ivanka M. Stamova (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Stability and attractivity of solutions of differential equations with impulses at fixed times.
Sivasundaram, S., Vassilyev, S. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Stability processes of moving invariant manifolds in uncertain impulsive differential-difference equations
Gani Tr. Stamov (2009)
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We present a result on the stability of moving invariant manifolds of nonlinear uncertain impulsive differential-difference equations. The result is obtained by means of piecewise continuous Lyapunov functions and a comparison principle.
Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems.
Ignat'ev, A.O. (2008)
Sibirskij Matematicheskij Zhurnal
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Bounded solutions of systems of differential equations with impulses
S. G. Hristova, D. D. Bainov (1988)
Annales Polonici Mathematici
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Wu, Kaining, Ding, Xiaohua, Wang, Liming (2010)
Discrete Dynamics in Nature and Society
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Global exponential stability of impulsive functional differential equations via Razumikhin technique.
Peng, Shiguo, Yang, Liping (2010)
Abstract and Applied Analysis
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On Semicontinuity in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...
Global stability of sets for systems with impulses.
G. K. Kulev, D. D. Bainov (1987)
Collectanea Mathematica
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Sun, Xiaoli, Li, Xiaodi (2009)
Discrete Dynamics in Nature and Society
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