Generalized exponential input-to-state stability of nonlinear systems with time delay
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- 作者：Fenglan Sun ; a ; sunfl@cqupt.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Lingxia Gaob ; Wei Zhua ; Feng Liuc
- 关键词：Exponential stability ; Input-to-state stability ; Razumikhim technique
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：44
- 期：Complete
- 页码：352-359
- 全文大小：430 K
文摘
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Provide several concepts of general input-to-state stability for the nonlinear delay systems. That is generalized globally exponential integral input-to-state stability (GGE-iISS), generalized globally integral exponential integral input-to-state stability (GGIE-iISS), and eλt -weighted generalized globally integral exponential integral input-to-state stability ( eλt -weighted GGIE-iISS).
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Give out the stability conditions of the general input-to-state stability for the nonlinear delay systems. Moreover, strict theoretical derivation is given to prove the sufficiency and correctness of the given conditions.
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An example is given to illustrate the correctness of the obtained theoretical results.