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Exact gradient controllability with strategic actuators

Automatic Control and Computer Sciences, 2017
In this paper, we develop results related to the gradient controllability and actuators. The concept of gradient strategic actuators is characterized and applied to the gradient controllability of systems described by a hyperbolic equation. This emphasizes the spatial structure and the location of the actuator in order to achieve the gradient ...
I. El Harraki   +2 more
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Multipulse quantum control: exact solutions

Optics Letters, 2009
The coherent propagation of four optical pulses through a multilevel resonant medium is investigated theoretically. We present a self-consistent analytic solution without steady-state or adiabatic approximations and use numerical simulations to indicate that the analytic formulas can be used as a guide in an experimental setting.
Elizabeth, Groves   +2 more
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Exact internal controllability for shallow shells

Science in China Series F: Information Sciences, 2006
The internal control problem is considered, based on the linear displacement equations of shallow shell. It is shown, with some checkable geometric conditions on control region, that the undergoing shallow shell is exactly controllable by using Hilbert uniqueness method (HUM), piecewise multiplier method and Riemannian geometry method.
Shaoji Feng, Dexing Feng
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Exact and possible viability for controlled diffusions

Statistics & Probability Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazliak, Laurent, Rainer, Catherine
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Exact Dynamics of Automatic Gain Control

IEEE Transactions on Communications, 1974
The exact input-output relationship is derived for a firstorder automatic gain control loop wherein the variable gain is an exponential function of the gain control voltage. The exact solution is compared to the linearized solution, and the condition for valid linearization is given.
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Numerical Approximation of Exact Controls for Waves

2013
International ...
Ervedoza, Sylvain, Zuazua, Enrique
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Optimal Exact Control

2015
In optimal control problems, we choose the ‘best’ controls from the set of all admissible controls. In our case, the set of admissible controls consists of the set of all controls that steer the system to the desired terminal state at the given terminal time. In general, these exact controls are not uniquely determined. Therefore we can choose from the
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Exact Internal Controllability of Maxwell's Equations

Applied Mathematics and Optimization, 2000
The aim of this paper is to give two results on the exact controllability of the following Maxwell equations with locally distributed control: \[ \begin{cases} E'- \nabla \times H= \chi_{G(t)} (x)u,\;H'+ \nabla\times E= 0, &\text{in }\Omega\times \mathbb{R}^+,\\ \nabla\cdot E= \nabla\cdot H=0, &\text{in }\Omega\times \mathbb{R}^+,\\ \nu \times E= 0 ...
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Constrained exact controllability of semilinear systems

Systems & Control Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact Controllability of the Superlinear Heat Equation

Applied Mathematics & Optimization, 2000
The paper studies the internal and boundary null controllability of a parabolic equation with superlinear nonlinearity. It has been proved that under certain conditions on the superlinear nonlinearity term the equation is internal null controllable. This also implies the boundary controllability. The proof is based on Kakutani's fixed-point theorem and
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