Rao-Nakra model with internal damping and time delay

نویسندگان

چکیده

In this manuscript, by using the semigroup theory, well-posedness and exponential stability for a Rao-Nakra sandwich beam equation with internal damping time delay is proved. The system consists of two wave equations longitudinal displacements top bottom layers, one Euler-Bernoulli transversal displacement. To best our knowledge from literature , time, no attention was given to asymptotic model delay.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact boundary controllability of a Rao-Nakra sandwich beam

We consider a three layer Rao-Nakra sandwich beam with damping proportional to shear included in the core layer. We prove that eigenvectors of the beam form a Riesz basis for the natural energy space. In the damped case, we are able to give precise conditions under which solutions decay at a uniform exponential rate. We also consider the problem of boundary control using bending moment and late...

متن کامل

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

متن کامل

Anisochronic Internal Model Control of Time Delay Systems

Time delay is a dynamic element that considerably complicates both theoretical and practical aspects of control system design. More or less satisfactory control of simple time delay systems that can be represented as a serial linkage of pure transportation delay and delay free system can be accomplished with Smith predictor. However, there is a lack of practically applicable control schemes for...

متن کامل

Riesz Basis Property and Related Results for a Rao-nakra Sandwich Beam

We consider a three layer Rao-Nakra sandwich beam with distinct wave speeds. We prove that the eigenvectors form a Riesz basis for the natural energy space. In the damped case, we give precise conditions under which there is a uniform exponential decay of energy. We also consider the problem of boundary control using bending moment and lateral force control at one end. We prove that the space o...

متن کامل

Exact Boundary Controllability Results for a Multilayer Rao-Nakra Sandwich Beam

We study the boundary controllability problem for a multilayer Rao-Nakra sandwich beam. This beam model consists of a Rayleigh beam coupled with a number of wave equations. We consider all combinations of clamped and hinged boundary conditions with the control applied to either the moment or the rotation angle at an end of the beam. We prove that exact controllability holds provided the damping...

متن کامل

ذخیره 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: Mathematica Moravica

سال: 2021

ISSN: ['1450-5932', '2560-5542']

DOI: https://doi.org/10.5937/matmor2102053r