Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Neural Nonparametric Stability Indicator for Self-Excited Dynamical Systems
IEEE AccessThis article introduces a novel methodology employing deep-learning neural networks to estimate Lyapunov functions in dynamic systems accurately. Unlike traditional parametric approaches, our method is model-free, enabling adaptability to various system ...
Krzysztof Lalik
doaj +1 more source
Erratum: Geometric approach to Lyapunov analysis in Hamiltonian dynamics [Phys. Rev. E64, 066206 (2001)] [PDF]
, 2003 Yoshiyuki Y. Yamaguchi, Toshihiro Iwai
openalex +1 more source
Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan +5 more
wiley +1 more source
The Lyapunov Concept of Stability from the Standpoint of Poincare Approach: General Procedure of Utilization of Lyapunov Functions for Non-Linear Non-Autonomous Parametric Differential Inclusions [PDF]
, 2014 Myroslav Sparavalo
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LyRN (Lyapunov Reaching Network): A Real-Time Closed Loop approach from Monocular Vision [PDF]
, 2020 Zheyu Zhuang, Xin Yu, Robert Mahony
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Toward Model-Assisted Safe Reinforcement Learning for Data Center Cooling Control: A Lyapunov-based Approach [PDF]
, 2023 Zhiwei Cao +3 more
openalex +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study addresses the trajectory tracking control for manipulator robots with uncertainties. The main objective is to ensure that the robot follows a desired trajectory despite the presence of uncertainties/disturbances and considering control input constraints. The approach is developed in the framework of continuous integral sliding modes.
Emanuel Ortiz‐Ortiz +3 more
wiley +1 more source
Lyapunov functions : a weak KAM approach
, 2011 Cette thèse est divisée en trois parties. Dans une première partie, on donne une description nouvelle des points récurrents par chaînes d'un système dynamique comme ensemble d'Aubry projeté d'une barrière ultramétrique. Cette approche permet de munir l'ensemble des composantes transitives par chaînes d'une structure d'espace ultramétrique expliquant ...
openaire +2 more sources