Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau and Komornik...
Partial exact controllability for the linear thermo-viscoelastic model.
Partial exact controllability of a nonlinear system.
In this article, we prove the partial exact controllability of a nonlinear system. We use semigroup formulation together with fixed point approach to study the nonlinear system.
Periodic systems largely system equivalent to periodic discrete-time processes
In this paper, the problem of obtaining a periodic model in state-space form of a linear process that can be modeled by linear difference equations with periodic coefficients is considered. Such a problem was already studied and solved in [r71] on the basis of the notion of system equivalence, but under the assumption that the process has no null characteristic multiplier. In this paper such an assumption is removed in order to generalize the results in [r71] to linear periodic processes with possibly...
Pointwise controllability as limit of internal controllability for the wave equation in one space dimension.
Polynomial Control Systems.
Positive and negative approximate controllability results for semilinear parabolic equations.
Problemes aux limites non classiques pour equations d'evolution.
Problèmes de contrôle pour des équations dispersives unidimensionnelles
Properties of reachability and almost reachability subspaces of implicit systems: The extension problem
Quelques résultats d'existence et régularité pour un problème non linéaire de la théorie du contrôle
Reachability and controllability of time-variant discrete-time positive linear systems
Reachability and minimum energy control of positive 2D systems with delays
Reachability and observability of linear systems over max-plus
This paper discusses the properties of reachability and observability for linear systems over the max-plus algebra. Working in the event-domain, the concept of asticity is used to develop conditions for weak reachability and weak observability. In the reachability problem, residuation is used to determine if a state is reachable and to generate the required control sequence to reach it. In the observability problem, residuation is used to estimate the state. Finally, as in the continuous-variable...
Reachability, controllability to zero and observability of the positive discrete-time Lyapunov systems
Reachability matrices and cyclic matrices.
Reachability of Interior States by Piecewise Constant Controls.
Reachability of nonnegative equilibrium states for the semilinear vibrating string by varying its axial load and the gain of damping
We show that the set of nonnegative equilibrium-like states, namely, like of the semilinear vibrating string that can be reached from any non-zero initial state , by varying its axial load and the gain of damping, is dense in the “nonnegative” part of the subspace of . Our main results deal with nonlinear terms which admit at most the linear growth at infinity in and satisfy certain restriction on their total impact on (0,∞) with respect to the time-variable.
Réalisation locale des systèmes non linéaires, algèbres de Lie filtrées transitives et séries génératrices non commutatives.