Zobrazeno 1 - 10
of 58 445
pro vyhledávání: '"lyapunov function"'
Autor:
Qian Li, Yanyuan Xing
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29404-29424 (2024)
In this article, we aim to investigate the decay characteristics of a system consisting of two viscoelastic wave equations with Dirichlet boundary conditions, where the dispersion term and nonlinear weak damping term are taken into account. Under app
Externí odkaz:
https://doaj.org/article/df67aab096af47fa9b8ddb49e0c5194e
Autor:
Mudassar Rafique, Muhammad Aziz Ur Rehamn, Muhammad Rafiq, Zafar Iqbal, Nauman Ahmed, Hadil Alhazmi, Shafiullah Niazai, Ilyas Khan
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-17 (2024)
Abstract The diabetes mellitus model (DMM) is explored in this study. Many health issues are caused by this disease. For this reason, the integer order DMM is converted into the time delayed fractional order model by fitting the fractional order Capu
Externí odkaz:
https://doaj.org/article/94830fc30f3848e5910b0f223cac677b
Publikováno v:
Archives of Control Sciences, Vol vol. 34, Iss No 3, Pp 641-661 (2024)
In this paper, we give results on the stability of homogeneous conformable fractional order systems using assumptions on a family of compact sets and provide the stabilization of an affine control system and given an explicit homogeneous feedback con
Externí odkaz:
https://doaj.org/article/a8cd77468729426cb4a36f7787c5bb08
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28079-28099 (2024)
In this study, we investigate the stability and asymptotic stability properties of Caputo fractional time-dependent systems with delay by employing vector Lyapunov functions. Utilizing the Caputo fractional Dini derivative on Lyapunov-like functions,
Externí odkaz:
https://doaj.org/article/e282c7f4459947b3aa96124402a51980
Autor:
Mauro Costantini, Pierpaolo Soravia
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28232-28255 (2024)
When a control system has all its vector fields tangent to the level set of a given smooth function $ u $ at a point $ \hat x $, under appropriate assumptions that function can still have a negative rate of decrease with respect to the trajectories o
Externí odkaz:
https://doaj.org/article/864b9ff5141446dba30668895f28ad9d