Explicit conditions for stability of nonlinear scalar delay impulsive difference equation.
Zheng, Bo (2010)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Stability and stabilization of impulsive stochastic delay difference equations.”
Explicit conditions for stability of nonlinear scalar delay impulsive difference equation.
Integrodifferential inequality for stability of singularly perturbed impulsive delay integrodifferential equations.
He, Danhua, Xu, Liguang (2009)
Journal of Inequalities and Applications [electronic only]
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Strict stability criteria for impulsive functional differential systems.
Liu, Kaien, Yang, Guowei (2008)
Journal of Inequalities and Applications [electronic only]
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Perron-type criterion for linear difference equations with distributed delay.
Alzabut, Jehad O., Abdeljawad, Thabet (2007)
Discrete Dynamics in Nature and Society
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Delay-dependent stability analysis and synthesis for uncertain impulsive switched system with mixed delays.
Du, Binbin, Zhang, Xiaojie (2011)
Discrete Dynamics in Nature and Society
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Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis.
Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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On Stability in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
On the global asymptotic stability of switched linear time-varying systems with constant point delays.
De La Sen, M., Ibeas, A. (2008)
Discrete Dynamics in Nature and Society
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Stochastic stability of linear time-delay system with Markovian jumping parameters.
Benjelloun, K., Boukas, E.K. (1997)
Mathematical Problems in Engineering
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New qualitative methods for stability of delay systems
Erik I. Verriest (2001)
Kybernetika
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A qualitative method is explored for analyzing the stability of systems. The approach is a generalization of the celebrated Lyapunov method. Whereas classically, the Lyapunov method is based on the simple comparison theorem, deriving suitable candidate Lyapunov functions remains mostly an art. As a result, in the realm of delay equations, such Lyapunov methods can be quite conservative. The generalization is here in using the comparison theorem directly with a different scalar equation...
Stability results for switched linear systems with constant discrete delays.
de la Sen, M., Ibeas, A. (2008)
Mathematical Problems in Engineering
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Converse theorem for practical stability of nonlinear impulsive systems and applications
Boulbaba Ghanmi, Mohsen Dlala, Mohamed Ali Hammami (2018)
Kybernetika
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The Lyapunov's second method is one of the most famous techniques for studying the stability properties of dynamic systems. This technique uses an auxiliary function, called Lyapunov function, which checks the stability properties of a specific system without the need to generate system solutions. An important question is about the reversibility or converse of Lyapunov's second method; i. e., given a specific stability property does there exist an appropriate Lyapunov function? The main...