Parameters identification and synchronization of chaotic delayed systems containing uncertainties and time-varying delay.
Sun, Zhongkui, Yang, Xiaoli (2010)
Mathematical Problems in Engineering
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Sun, Zhongkui, Yang, Xiaoli (2010)
Mathematical Problems in Engineering
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Yonghong Tan (2004)
International Journal of Applied Mathematics and Computer Science
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Nonlinear dynamic processes with time-varying time delays can often be encountered in industry. Time-delay estimation for nonlinear dynamic systems with time-varying time delays is an important issue for system identification. In order to estimate the dynamics of a process, a dynamic neural network with an external recurrent structure is applied in the modeling procedure. In the case where a delay is time varying, a useful way is to develop on-line time-delay estimation mechanisms to...
Bao, Haibo, Cao, Jinde (2011)
Discrete Dynamics in Nature and Society
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Lu, Chien-Yu, Liao, Chin-Wen, Tsai, Hsun-Heng (2009)
Discrete Dynamics in Nature and Society
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Sonnenberg, Amnon, Crain, Bradford R. (2005)
Journal of Theoretical Medicine
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Yu, Jianjiang (2009)
Discrete Dynamics in Nature and Society
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Zhu, Enwen, Zhang, Hanjun, Zou, Jiezhong (2010)
Journal of Inequalities and Applications [electronic only]
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Zhu, Enwen, Wang, Yong, Wang, Yueheng, Zhang, Hanjun, Zou, Jiezhong (2010)
Journal of Inequalities and Applications [electronic only]
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Tyrone E. Duncan (1985)
Banach Center Publications
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El-Morshedy, Hassan A., El-Matary, B.M. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Pin-Lin Liu (2005)
International Journal of Applied Mathematics and Computer Science
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This paper concerns the issue of robust asymptotic stabilization for uncertain time-delay systems with saturating actuators. Delay-dependent criteria for robust stabilization via linear memoryless state feedback have been obtained. The resulting upper bound on the delay time is given in terms of the solution to a Riccati equation subject to model transformation. Finally, examples are presented to show the effectiveness of our result.
James Louisell (2001)
Kybernetika
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In this paper we give an example of Markus–Yamabe instability in a constant coefficient delay differential equation with time-varying delay. For all values of the range of the delay function, the characteristic function of the associated autonomous delay equation is exponentially stable. Still, the fundamental solution of the time-varying system is unbounded. We also present a modified example having absolutely continuous delay function, easily calculating the average variation of the...