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Exact controllability for a Rayleigh beam with piezoelectric actuator

Systems and Control Letters
International audienceIn this paper, exact controllability problem for a Rayleigh beam with piezoelectric actuator is considered. Controllability results show that the space of controllable initial data depends on the regularity of the control and the ...
Christophe Prieur
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SemiGlobal Exact Controllability of Nonlinear Plates

SIAM Journal on Control and Optimization, 2015
Summary: The exact controllability problem for several semilinear thin plate models is considered. A distributed control affects a collar of the plate's boundary. The result is semiglobal in the sense that there is no restriction on the size of the initial and the target states, but the controllability time is uniform only with respect to a given ...
Matthias Eller, Daniel Toundykov
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Exact Controllability for the Schrödinger Equation

SIAM Journal on Control and Optimization, 1994
Summary: The exact controllability of Schrödinger equation in bounded domains with Dirichlet boundary condition is studied. Both the boundary controllability and the internal controllability problems are considered. Concerning the boundary controllability, the paper proves the exact controllability in \(H^{-1}(\Omega)\) with \(L^ 2\)-boundary control ...
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Exact controllability of the Schrödinger equation

Applied Mathematics and Computation, 2003
The author studies the null controllability of the linear Schrödinger equation on bounded domains in \(\mathbb{R}^n\). In a first part a simple functional analytic characterization for null controllability is given. In a second part results of \textit{E. Machtyngler} [SIAM. J. Control Optim.
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EXACT CONTROLLABILITY AND OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS

IFAC Proceedings Volumes, 1989
Abstract On adaptation of the H.U.M. method to other classes with distributed systems is given. We deduce, for various types of action, the minimal norm control which allows to reach a reachable given state. A generalization of this method to the contro1 prob1em is presented later; which gives a constructive method for the determination of the ...
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Exact Controllability of the Wave Equation on Graphs

Applied Mathematics & Optimization, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergei Avdonin, Yuanyuan Zhao
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Exact Penalizations for Optimal Control Problems

IEEE Transactions on Automatic Control
A novel technique to solve optimal control problems with state constraints is proposed. We exploit the theory of exact penalty functions, used in mathematical programming, to construct a systematic procedure to transform two classes of problems with state constraints to equivalent penalized unconstrained problems. We focus on a special class of systems
Riccardo A. Grimaldi, Alessandro Astolfi
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Exact Boundary Controllability of a Maxwell Problem

SIAM Journal on Control and Optimization, 2000
The author studies the exact boundary controllability for the following simplified form of a Maxwell problem in the time interval \(I:= [0,T]\): \[ \begin{cases} \partial_t E=\nabla_x\wedge H,\;\partial_t H=-\nabla_x\wedge E\quad &\text{in }I\times \Omega,\\ (E(0,\cdot), H(0,\cdot))= (E^0, H^0),\\ \nu\wedge E= J\quad &\text{on }I\times \Gamma,\end ...
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Partial Exact Controllability for Spherical Membranes

SIAM Journal on Control and Optimization, 1997
In the important paper the basic approach to the partial exact controllability (the control acts only on one of the displacement components without conditions for the other components) of an elastic spherical membrane is discussed. The axially symmetric vibrations of a spherical membrane are described by a pair of partial differential equations in the ...
LORETI, Paola, Vanda Valente
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AN EVALUATION OF THE EXACT CONTROLLERS IN A MULTIVARIABLE ENVIRONMENT

IFAC Proceedings Volumes, 1988
Publisher Summary This chapter presents an evaluation of the EXACT controllers in a multivariable environment. The EXACT controller is a commercially available, adaptive PID controller that is based on pattern recognition. The specification with the more serious violation is used for gain adjustment. The chapter discusses the effect that control loop
R. Cao, T. McAvoy
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