Existence and uniqueness of a hybrid system with variable coefficients

Journal of Nonlinear Sciences and Applications Pub Date : 2021-01-01 DOI:10.22436/jnsa.015.01.06

Y. Joresse, Y. Gozo, B. G. Jean-Marc, T. K. Augustin

引用次数: 0

Abstract

In this paper we consider a long flexible Euler-Bernoulli beam with boundary conditions imposed at the two ends, the resulting model being called hybrid system. The beam is hybrid in the sense that it holds both rigid and elastic motions. Our main result is to show the existence and uniqueness of the weak solution of close-loop system. The closed-loop system stability is shown through Lyapunov-based analysis.

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变系数混合系统的存在唯一性

本文考虑在两端施加边界条件的长柔性欧拉-伯努利梁，得到的模型称为混合系统。从某种意义上说，梁是混合的，它同时具有刚性和弹性运动。我们的主要结果是证明了闭环系统弱解的存在唯一性。通过李雅普诺夫分析证明了闭环系统的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.