On an estimate of the decay rate for applications ofRazumikhin-type theorems

Chunhai Hou; Jixin Qian

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On an estimate of the decay rate for applications ofRazumikhin-type theorems

机译：关于Razumikhin型定理应用的衰减率的估计

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摘要

A decay estimate is established for solutions of a class of Razumikhin-type functional differential equations (FDEs). The FDEs investigated here are general enough to satisfy the requirement of applications of Razumikhin-type theorems. With the help of an application of our result, it is illustrated that the method presented in this paper is adaptable to quantitative stability analysis of the retarded functional differential equations encountered in engineering

机译：为一类Razumikhin型泛函微分方程（FDE）的解建立了衰减估计。此处研究的FDE具有足够的通用性，可以满足Razumikhin型定理的应用要求。借助于我们的结果，证明了本文提出的方法适用于工程中遇到的滞后泛函微分方程的定量稳定性分析。

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《IEEE Transactions on Automatic Control》 |1998年第7期|p.958-960|共3页
作者
Chunhai Hou; Jixin Qian;
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正文语种 eng
中图分类自动化系统;
关键词
asymptotic stability; delay systems; differential equations; state estimation; Razumikhin-type theorems; asymptotic stability; decay rate estimation; functional differential equations;

机译：渐近稳定性;时滞系统;微分方程;状态估计;Razumikhin型定理;渐近稳定性;衰减率估计;泛函微分方程;

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专利

1. On an estimate of the decay rate for applications of Razumikhin-type theorems [J] . Chunhai Hou, Jixin Qian IEEE Transactions on Automatic Control . 1998,第7期

机译：关于Razumikhin型定理应用的衰减率的估计
2. Decay estimates for applications of Razumikhin-type theorems [J] . C. Hou, J. Qian Automatica . 1998,第7期

机译：Razumikhin型定理应用的衰减估计
3. UNIFORM LIMIT THEOREMS FOR THE INTEGRATED PERIODOGRAM OF WEAKLY DEPENDENT TIME SERIES AND THEIR APPLICATIONS TO WHITTLE'S ESTIMATE [J] . Jean-Marc Bardet, Paul Doukhan, Jose Rafael Leon Journal of Time Series Analysis . 2008,第5期

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4. A parameter transformation and Crame/spl acute/r-Rao bounds for estimating decay rates from exponential signals [C] . Tantum, S.L., Collins, Geoscience and Remote Sensing Symposium, 2002. IGARSS '02. 2002 IEEE International . 2002

机译：参数转换和Crame / spl急性/ r-Rao边界，用于从指数信号估计衰减率
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6. A Z-theorem with Estimated Nuisance Parameters and Correction Note for ‘Weighted Likelihood for Semiparametric Models and Two-phase Stratified Samples with Application to Cox Regression’ [O] . NORMAN E. BRESLOW, JON A. WELLNER -1

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On an estimate of the decay rate for applications ofRazumikhin-type theorems

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