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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Du, Binbin, Zhang, Xiaojie (2011)
Discrete Dynamics in Nature and Society
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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.
Song Zheng (2016)
Kybernetika
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In this paper the issue of impulsive stabilization and synchronization of uncertain financial hyperchaotic systems with parameters perturbation is investigated. Applying the impulsive control theory, some less conservative and easily verified criteria for the stabilization and synchronization of financial hyperchaotic systems are derived. The control gains and impulsive intervals can be variable. Moreover, the boundaries of the stable region are also estimated according to the equidistant...
Sun, Xiaoli, Li, Xiaodi (2009)
Discrete Dynamics in Nature and Society
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Sivasundaram, S., Vassilyev, S. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Peter E. Kloeden, Thomas Lorenz (2014)
Nonautonomous Dynamical Systems
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A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated.
Liu, Kaien, Yang, Guowei (2008)
Journal of Inequalities and Applications [electronic only]
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Krzysztof Ciesielski (2004)
Annales Polonici Mathematici
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We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).
Peng, Shiguo, Yang, Liping (2010)
Abstract and Applied Analysis
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Wu, Kaining, Ding, Xiaohua, Wang, Liming (2010)
Discrete Dynamics in Nature and Society
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Haddad, Wassim M., Chellaboina, Vijaysekhar, Nersesov, Sergey G. (2002)
Mathematical Problems in Engineering
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He, Danhua, Xu, Liguang (2009)
Journal of Inequalities and Applications [electronic only]
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Ignat'ev, A.O. (2008)
Sibirskij Matematicheskij Zhurnal
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Yang, Zhichun, Xu, Daoyi (2006)
Journal of Applied Mathematics and Stochastic Analysis
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H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
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