Results 271 to 280 of about 10,644,671 (308)

Dynamic boundary control and disturbance rejection in boundary control systems

[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005
The authors consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. They assume that the system is subjected to external disturbance. To stabilize the undisturbed system, a dynamic boundary control method applied at the free end of the system is proposed, and it is shown that the
O. Morgul, S.M. Shahruz
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Boundary Control of the Timoshenko Beam

SIAM Journal on Control and Optimization, 1987
The paper investigates uniform stabilization of the Timoshenko beam with boundary control. The main result of the first part, established by means of the energy method combined with \(C_ 0\)-semigroup theory, is that the natural energy of the beam decays exponentially fast.
Kim, Jong Uhn, Renardy, Yuriko
openaire   +2 more sources

Constrained approximate boundary controllability

IEEE Transactions on Automatic Control, 1997
The author gives necessary and sufficient conditions for constrained approximate boundary controllability for a class of linear systems described by partial differential equations of parabolic type with mixed boundary conditions. Some examples presented in detail illustrate the power of these criteria.
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Boundary Control of Wave Equations with Delayed Boundary Measurement

2004 IEEE International Conference on Robotics and Biomimetics, 2005
The Smith predictor and its variant are applied to boundary control of a wave equation with delayed boundary measurement. The well-known instability problem due to a small time delay is solved for wave equations. Simulation results demonstrate the effectiveness of the proposed method. The effect of the time delay size and the boundary feedback gain has
Jinsong Liang, Yangquan Chen
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Backstepping boundary control: An application to rod temperature control with Neumann boundary condition

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 2014
This article presents a backstepping boundary control technique to stabilize the temperature of a rod. The rod is modeled by a parabolic partial differential equation with a Neumann boundary condition at one end of rod and a Dirichlet boundary condition at the other end.
Nipon Boonkumkrong, Suwat Kuntanapreeda
openaire   +1 more source

Approximate Controllability of Boundary Control Systems with Nonlinear Boundary Conditions

Applied Mechanics and Materials, 2014
The paper deals with the approximate controllability of a class of nonlinear delayed control systems in which the control is acted through the boundary of the region and the boundary conditions are nonlinear. The approximate controllability result is established provided the approximate controllability of the corresponding linear systems.
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Stabilization of Boundary Control Systems

1979
Let Ω be an open subset of Rn with the boundary Γ =∂Ω. A typical boundary control system can be described by an equation of the form $$ \begin{array}{*{20}{c}} {\frac{{\partial z}}{{\partial t}}\left( {t,x} \right) = Lz\left( {t,x} \right) + Bu\left( {t,x} \right),\quad t > O,\;x \in \Omega } \\ {z\left( {O,x} \right) = {z_O}\left( x \right),\quad x
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Optimal control of a stochastic delay heat equation with boundary-noise and boundary-control

International Journal of Control, 2014
In this paper, a controlled stochastic delay heat equation with Neumann boundary-noise and boundary-control is considered. The existence and uniqueness of the mild solution for the associated Hamilton–Jacobi–Bellman equations are obtained by means of the backward stochastic differential equations, which is applied to the optimal control problem.
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Synergistic effects of twin boundary and phase boundary for enhancing ultimate strength and ductility of lamellar TiAl single crystals

International Journal of Plasticity, 2022
Henggao Xiang
exaly  

Boundary control and boundary variations

Mathematics and Computers in Simulation, 1989
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