Zobrazeno 1 - 10
of 163 041
pro vyhledávání: '"Nonlinear system"'
Autor:
Alex Montes, Ricardo Córdoba
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 31, Pp 1-40 (2024)
In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The wel
Externí odkaz:
https://doaj.org/article/45ed96d10383478d9e7ed3281221c5b3
Publikováno v:
Journal of Mechanics of Continua and Mathematical Sciences, Vol 19, Iss 4, Pp 29-47 (2024)
The existence of over-damped nonlinear differential equations results from a variety of engineering conundrums and physical natural occurrences. Non-oscillatory dynamics with forced over-damping are used in the simulation of nonlinear differential sy
Externí odkaz:
https://doaj.org/article/b3129828244a4bd9a50b7b87027ea46b
Autor:
Guilin Tang, Ning Li
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14376-14404 (2024)
The interaction of different time scales in predator-prey models has become a common research topic. In the present article, we concentrated on the dynamics of interactions at two time scales in a plankton-fish system. To investigate the effects of t
Externí odkaz:
https://doaj.org/article/58cad23b4aef4dc38ce230be710a819b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 7895-7916 (2024)
This work introduces a novel adaptive fixed-time control strategy for nonlinear systems subject to external disturbances. The focus pertains to the introduction of the fixed-time terminal sliding mode control (FxSMC) technique. The proposed scheme ex
Externí odkaz:
https://doaj.org/article/3e4645cbbf054e73b9a9518e76ec3a9d
Autor:
Linni Li, Jin-E Zhang
Publikováno v:
Mathematical Biosciences and Engineering, Vol 21, Iss 2, Pp 2233-2253 (2024)
Stochastic input-to-state stability (SISS) of the stochastic nonlinear system has received extensive research. This paper aimed to investigate SISS of the stochastic nonlinear system with delayed impulses. First, when all subsystems were stable, usin
Externí odkaz:
https://doaj.org/article/d8f038b36f9146bcacbca4e485db42b6
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 371-390 (2024)
This paper presents a novel approach for exploring the dynamics of fractional Kersten-Krasil'shchik coupled KdV-mKdV systems by using the unification of the Adomian decomposition method and ZZ transformation. The suggested method combines the Aboodh
Externí odkaz:
https://doaj.org/article/2ac00ec78262478dbdc571bd187f894c
Autor:
Tan Zhang, Pianpian Yan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 319-339 (2024)
In this paper, a new-type time-varying asymmetric integral barrier function is designed to handle the state constraint of nonlinear systems. The barrier Lyapunov function is developed by building an integral upper limit function with respect to trans
Externí odkaz:
https://doaj.org/article/dde7c3af289447cd8b1b79045ee2c55f
Publikováno v:
AppliedMath, Vol 3, Iss 4, Pp 758-770 (2023)
Based on the Hodgkin–Huxley theory, this paper establishes several nonlinear system models, analyzes the models’ stability, and studies the conditions for repetitive discharge of neuronal membrane potential. Our dynamic analysis showed that the m
Externí odkaz:
https://doaj.org/article/cfc6970b1f2841b7b9351b535be12e70
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27151-27174 (2023)
This study investigates the problem of asymptotic fixed-time tracking control (AFXTTC) for uncertain nonlinear systems (UNS) subject to pure state constraints. To study this problem, we define asymptotic fixed-time stability (AFXTS) and thus a criter
Externí odkaz:
https://doaj.org/article/e8652b66d9244e9d935660a222534e3b
Autor:
Carlos Aguilar-Ibanez, Miguel S. Suarez-Castanon, Eloísa García-Canseco, Jose de Jesus Rubio, Ricardo Barron-Fernandez, Juan Carlos Martinez
Publikováno v:
Mathematics, Vol 12, Iss 14, p 2239 (2024)
We present a proportional–integral–derivative-based controller plus an adaptive slide surface to solve the trajectory tracking control problem for a fully actuated vessel with unknown parameters perturbed by slowly varying external unknown dynami
Externí odkaz:
https://doaj.org/article/79de6b41839a405b80262080aa06e7a8