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Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems

Mathematical Methods in the Applied Sciences
The uniform exponential stabilities (UESs) of two hybrid control systems comprised of a wave equation and a second‐order ordinary differential equation are investigated in this study. Linear feedback law and local viscosity are considered, as are nonlinear feedback law and internal anti‐damping.
Fu Zheng   +3 more
openaire   +2 more sources

A density-based method with semi-discrete central-upwind schemes for ideal magnetohydrodynamics

Archive of Applied Mechanics, 2016
In the present work, the central-upwind schemes proposed by Kurganov et al. (SIAM J Sci Comput 23:707–740, 2001) for hydrodynamics are extended and combined with the divergence cleaning method of Dedner (J Comput Phys 175:645–673, 2002) in order to approximate the equations of the ideal magnetohydrodynamics in a finite volume discretization framework ...
Charles Chelem Mayigué, Rodion Groll
openaire   +1 more source

Efficiency and Accuracy of Semi-Discretization Schemes for Time Delayed Feedback Control Systems

Design Engineering, Volumes 1 and 2, 2003
Semi-discretization is an effective method for analysis and control design of time-invariant as well as periodic linear systems with time delay. This paper briefly describes various approximation schemes in conjunction to the semi-discretization method.
Ozer Elbeyli, J. Q. Sun
openaire   +1 more source

Adaptive semi-discrete formulation of BSQI–WENO scheme for the modified Burgers’ equation

BIT Numerical Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cauchy matrix scheme and the semi-discrete Toda and sine-Gordon systems

Physica D: Nonlinear Phenomena
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Tong   +4 more
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Solution of 2D Shallow Water Equations by Genuinely Multidimensional Semi-Discrete Central Scheme

Journal of Hydrodynamics, 2006
A numerical method for solving the two-dimensional shallow water equations was presented. This method was based on the third-order genuinely multidimensional semi-discrete central scheme for spatial discretization and the optimal third-order Strong Stability Preserving (SSP) Runge-Kutta method for time integration.
Jian-zhong Chen, Zhong-ke Shi
openaire   +1 more source

Remarks on discrete and semi-discrete transparent boundary conditions for solving the time-dependent Schrödinger equation on the half-axis

, 2014
We consider the generalized time-dependent Schrödinger equation on the half-axis and a broad family of finite-difference schemes with the discrete transparent boundary conditions (TBCs) to solve it. We first rewrite the discrete TBCs in a simplified form
A. Zlotnik, I. Zlotnik
semanticscholar   +1 more source

Reinforcement Learning Control for a Class of Discrete-Time Non-Strict Feedback Multi-Agent Systems and Application to Multi-Marine Vehicles

IEEE Transactions on Intelligent Vehicles
A novel control design problem for a class of non-strict feedback multi-agent systems (MAS) in discrete-time form is studied based on reinforcement learning (RL) and applied to multi-marine vehicles (MMV).
Weiwei Bai   +3 more
semanticscholar   +1 more source

Uniform Exponential Stability and Control Convergence of Semi-discrete Scheme for a Timoshenko Beam

Applied Mathematics & Optimization
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fu Zheng, Zhen Jia, Bao-Zhu Guo
openaire   +1 more source

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