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.
Janina Kłapyta (1991)
Annales Polonici Mathematici
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Mu-Fa Chen (2016)
Special Matrices
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The main topic of this talk is the speed estimation of stability/instability. The word “various” comes with no surprising since there are a lot of different types of stability/instability and each of them has its own natural distance to measure. However, the adjective “unified” is very much unexpected. The talk surveys our recent progress on the topic, made in the past five years or so.
Salazar, Carlos, Torres, Joel, Nieto-Villar, José M. (2003)
Journal of Theoretical Medicine
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Cui, Jia-Rui, Hu, Guang-Da, Zhu, Qiao (2011)
Discrete Dynamics in Nature and Society
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Al-Ola, Omar M.Abou, Fujimoto, Ken'ichi, Yoshinaga, Tetsuya (2011)
Mathematical Problems in Engineering
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Stefanski, Andrzej, Kapitaniak, Tomasz (2000)
Discrete Dynamics in Nature and Society
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Sayeed, Shohel, Andrews, S., Besar, Rosli, Kiong, Loo Chu (2007)
Discrete Dynamics in Nature and Society
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Ammar Shaker, Eyke Hüllermeier (2014)
International Journal of Applied Mathematics and Computer Science
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In this paper, we introduce a method for survival analysis on data streams. Survival analysis (also known as event history analysis) is an established statistical method for the study of temporal “events” or, more specifically, questions regarding the temporal distribution of the occurrence of events and their dependence on covariates of the data sources. To make this method applicable in the setting of data streams, we propose an adaptive variant of a model that is closely related to...
Mou'ath Hourani, Ibrahiem M. M. El Emary (2009)
Computer Science and Information Systems
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Szabolcs Rozgonyi, Katalin M. Hangos, Gábor Szederkényi (2010)
Kybernetika
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In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions in a rational functional form approximating a maximal Lyapunov function that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a Mathematica-package to find such Lyapunov functions for a class...