Existence and uniqueness of a hybrid system with variable coefficients

The Journal of Nonlinear Sciences and its Applications

article

Y. S. A. Joresse¹  Y. Gozo¹  B. G. Jean-Marc¹  T. K. Augustin² 

[1] Universite Nangui Abrogoua d'Abobo, Adjame, UFR Sciences Fondamentales et Appliquees;Institut National Polytechnique Houphouet

关键词: Beam equations;    variable coefficients;    stability;    existence;    uniqueness;   

DOI  :  10.22436/jnsa.015.01.06

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

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.

【 授权许可】

Unknown