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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...
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.
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.
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.
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.
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.
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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