Control of oscillating systems with a single delay.
Control of quasi-differential equations
Control of the surface of a fluid by a wavemaker
The control of the surface of water in a long canal by means of a wavemaker is investigated. The fluid motion is governed by the Korteweg-de Vries equation in lagrangian coordinates. The null controllability of the elevation of the fluid surface is obtained thanks to a Carleman estimate and some weighted inequalities. The global uncontrollability is also established.
Control of the surface of a fluid by a wavemaker
The control of the surface of water in a long canal by means of a wavemaker is investigated. The fluid motion is governed by the Korteweg-de Vries equation in Lagrangian coordinates. The null controllability of the elevation of the fluid surface is obtained thanks to a Carleman estimate and some weighted inequalities. The global uncontrollability is also established.
Control of the underactuated mechanical systems using natural motion
The paper deals with the control of underactuated mechanical systems between equilibrium positions across the singular positions. The considered mechanical systems are in the gravity field. The goal is to find feasible trajectory connecting the equilibrium positions that can be the basis of the system control. Such trajectory can be stabilized around both equilibrium positions and due to the gravity forces the mechanical system overcomes the singular positions. This altogether constitutes the control...
Control structures
We define an extension of the classical notion of a control system which we call a control structure. This is a geometric structure which can be defined on manifolds whose underlying topology is more complicated than that of a domain in . Every control structure turns out to be locally representable as a classical control system, but our extension has the advantage that it has various naturality properties which the (classical) coordinate formulation does not, including the existence of so-called...
Control synthesis for practical stabilization of quantized linear systems.
Control systems on semi-simple Lie groups and their homogeneous spaces
In the present paper, we consider the class of control systems which are induced by the action of a semi-simple Lie group on a manifold, and we give a sufficient condition which insures that such a system can be steered from any initial state to any final state by an admissible control. The class of systems considered contains, in particular, essentially all the bilinear systems. Our condition is semi-algebraic but unlike the celebrated Kalman criterion for linear systems, it is not necessary. In...
Control Systems on the Orthogonal Group SO(4)
We classify the left-invariant control affine systems evolving on the orthogonal group . The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.
Control theory and high energy eigenfunctions
Control zeros and maximum-accuracy/maximum-speed control of LTI MIMO discrete-time systems
Controlabilidad exacta de la ecuación del telégrafo generalizada.
Contrôlabilité de l’équation d’Euler tridimensionnelle pour les fluides parfaits incompressibles
Contrôlabilité des systèmes bilinéaires dans le plan
Contrôlabilité exacte d'un problème avec conditions de Ventcel évolutives pour le système linéaire de l'élasticité.
In this work, we examine the exact controllability of the solution of a linear elasticity system, with evolutive Ventcel's conditions, (see [3]), in a bounded domain of R3. We use the Hilbert uniqueness methode, (H.U.M), of J.L.Lions, (see [9]); some multipliers are defined on the boundary; the curvature tensor (see [6]), appears when computing some boundary integrals. This work can be inserted in the framework of the study of the exact controllability and stabilisation of various problems with...
Contrôlabilité exacte pour l'équation des ondes avec contraintes sur le contrôle
Contrôle de l'équation des ondes dans des ouverts comportant des coins
Contrôle de l'équation des plaques en présence d'obstacles strictement convexes
Contrôle et stabilisation d'ondes électromagnétiques
Contrôle et stabilisation d'ondes électromagnétiques
We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.