High-Relative Degree Stochastic Control Lyapunov and Barrier Functions [PDF]
, 2020 Meenakshi Sarkar +2 more
openalex +1 more source
Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley +1 more source
Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
PLoS One, 2021 Elkaranshawy HA, Ezzat HM, Ibrahim NN.
europepmc +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
On The Synchronization of Van Der Pol-Duffing Oscillator
Cumhuriyet Science Journal, 2019 Themost well known property of chaotic systems is their sensitivity to initialconditions. In this work the criterion presented in literature forsynchronizing two chaotic systems is applied to a system consisting of two Vander Pol-Duffing oscillators ...
Rıfat Yazıcı +1 more
doaj +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
A graph-theoretic approach to global input-to-state stability for coupled control systems
Advances in Difference Equations, 2017 In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
doaj +1 more source
Non-coercive Lyapunov functions for infinite-dimensional systems [PDF]
, 2018 Andrii Mironchenko, Fabian Wirth
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
Closed Relations and Lyapunov Functions for Dynamical Polysystems
, 2023 George Cazacu
openalex +2 more sources