Results 91 to 100 of about 3,224,849 (346)
Journal of Applied Mathematics, 2013 The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
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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
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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
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Российский технологический журнал, 2018 The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
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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
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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
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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
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Particle swarm optimization based networked control system design with uncertainty
MATEC Web of Conferences, 2017 This study discusses the design of state feedback control for networked control system (NCS) with uncertainty, where the feedback controller is used to solve the latency and the packet dropout caused by NCS.
Chen Ti-Hung, Yeh Ming-Feng, Lee Wen-Yo
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Non-Smooth Stochastic Lyapunov Functions With Weak Extension of Viscosity Solutions
, 2019 This paper proposes a notion of viscosity weak supersolutions to build a bridge between stochastic Lyapunov stability theory and viscosity solution theory.
Hoshino, Kenta, Nishimura, Yuki
core
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
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