Uniform stability of displacement coupled second-order equations.
Uniform stabilization for the Timoshenko beam by a locally distributed damping.
Uniform stabilization of a coupled structural acoustic system by boundary dissipation.
Uniform stabilization of some damped second order evolution equations with vanishing short memory
We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect to the calibration...
Uniformly exponentially stable approximations for a class of second order evolution equations
We consider the approximation of a class of exponentially stable infinite dimensional linear systems modelling the damped vibrations of one dimensional vibrating systems or of square plates. It is by now well known that the approximating systems obtained by usual finite element or finite difference are not, in general, uniformly stable with respect to the discretization parameter. Our main result shows that, by adding a suitable numerical viscosity term in the numerical scheme, our approximations are...
Unveiling uncertain forces in second-order driven oscillators via internal model: a discrete-time feedback.
Weak stabilizability of a nonautonomous and nonlinear system.
Weyl formula with optimal remainder estimate of some elastic networks and applications
We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
Линейно-квадратичная задача оптимизации и частотная теорема для периодических систем. I
О квадратичной стабилизируемости линейных динамических систем
Об устойчивости фазовых систем
Равномерная стабилизация и одновременное точное граничное управление для пары гиперболических систем.
Сохранение экспоненциальной устойчивости при дискретной реализации управления с приложением к адаптивной стабилизации.
Частотная теорема в теории управления.
Частотная теорема и уравнение Лурье