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Contrôlabilité exacte d'un problème avec conditions de Ventcel évolutives pour le système linéaire de l'élasticité.

Amar Heminna (2001)

Revista Matemática Complutense

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...

Contrôle et stabilisation d'ondes électromagnétiques

Kim Dang Phung (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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.

Controllability and observability of linear delay systems: an algebraic approach

M. Fliess, H. Mounier (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Interpretations of most existing controllability and observability notions for linear delay systems are given. Module theoretic characterizations are presented. This setting enables a clear and precise comparison of the various examined notions. A new notion of controllability is introduced, which is called pi-freeness.

Controllability and observability of linear discrete-time fractional-order systems

Said Guermah, Said Djennoune, Maamar Bettayeb (2008)

International Journal of Applied Mathematics and Computer Science

In this paper we extend some basic results on the controllability and observability of linear discrete-time fractional-order systems. For both of these fundamental structural properties we establish some new concepts inherent to fractional-order systems and we develop new analytical methods for checking these properties. Numerical examples are presented to illustrate the theoretical results.

Controllability and observability of time-invariant linear dynamic systems

Martin Bohner, Nick Wintz (2012)

Mathematica Bohemica

In the paper, we unify and extend some basic properties for linear control systems as they appear in the continuous and discrete cases. In particular, we examine controllability, reachability, and observability for time-invariant systems and establish a duality principle.

Controllability and reconstructability of a system described by the N-D Roesser model

Jerzy Kurek (2003)

International Journal of Applied Mathematics and Computer Science

The controllability and reconstructability (global) of the system described by a digital N-D Roesser model are defined. Then, necessary and sufficient conditions for system controllability and reconstructability are given. The conditions constitute a generalization of the corresponding conditions for 1-D systems.

Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator

Irene Benedetti, Valeri Obukhovskii, Pietro Zecca (2011)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and...

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