Interior Controllability of a Timoshenko Type Equation
نویسندگان
چکیده
منابع مشابه
Dynamic Analysis of a Nonlinear Timoshenko Equation
and Applied Analysis 3 Here, S t denotes the corresponding semigroup on H, generated by problem 1.1 , and ·, · 2 is the inner product in L2 Ω . The following energy equation holds: E0 E t ∫ t 0 δ‖v τ ‖λdτ, 2.3 where E t ≡ E u t , v t ≡ 1 2 ‖v t ‖2 J u t , 2.4 J u ≡ 1 2 a u 1 2 ( γ 1 )c u − 1 r b u , 2.5 with a u ≡ ‖u‖B, b u ≡ μ‖u‖r , c u ≡ β‖∇u‖ γ 1 2 . 2.6 Here, E0 ≡ E u0, v0 is the initial en...
متن کاملInternal stabilization of a Mindlin-Timoshenko model by interior feedbacks
A Mindlin-Timoshenko model with non constant and non smooth coefficients set in a bounded domain of R, d ≥ 1 with some internal dissipations is proposed. It corresponds to the coupling between the wave equation and the dynamical elastic system. If the dissipation acts on both equations, we show an exponential decay rate. On the contrary if the dissipation is only active on the elasticity equati...
متن کاملExact Controllability for a Semilinear Wave Equation with Both Interior and Boundary Controls
The purpose of this paper is to prove the existence of the exact controllability of a semilinear wave equation with both interior and boundary controls. Let Ω be a bounded open subset of Rn with a smooth boundary, let f (y) be an accretive mapping of L2(0,T ;H−1(Ω)) into L2(0,T ;H 0 (Ω)) with respect to a duality mapping J ,D( f ) = L2(0,T ;L2(Ω)) and having at most a linear growth in y. Consid...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Exact Controllability of Generalized Hammerstein Type Integral Equation and Applications
In this article, we study the exact controllability of an abstract model described by the controlled generalized Hammerstein type integral equation
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Control Science and Engineering
سال: 2012
ISSN: 2168-4952
DOI: 10.5923/j.control.20110101.03