Results 41 to 50 of about 123 (82)

Strong Stability of a Delayed Viscoelastic Timoshenko System With Fractional Time Delay and Two Fractional Boundary Controls

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The strong stability of the Timoshenko beam in viscoelastic systems with a fractional time delay and fractional boundary controls is a complex yet fascinating area of study. This work aims to investigate a mathematical model wherein nontrivial methods are used to solve for both quantitative and qualitative properties.
M. Bouariba Sadoun, A. Benaissa Cherif, R. Bentifour, S. M. Mirgani, M. B. Jeelani, K. Zennir, Mohamed A. Eltaher   +6 more
wiley   +1 more source

Solutions to Lyapunov stability problems: nonlinear systems with continuous motions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 587-596, 1994., 1992
The necessary and sufficient conditions for accurate construction of a Lyapunov function and the necessary and sufficient conditions for a set to be the asymptotic stability domain are algorithmically solved for a nonlinear dynamical system with continuous motions. The conditions are established by utilizing properties of o‐uniquely bounded sets, which
Ljubomir T. Grujić
wiley   +1 more source

Neural network quaternion-based controller for port-Hamiltonian system

Demonstratio Mathematica
In this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E., Serrano Fernando E., Batrancea Larissa M.   +2 more
doaj   +1 more source

Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold

Advances in Nonlinear Analysis, 2018
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2⁢π⁢7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia, Chu Jixun, Shang Peipei, Coron Jean-Michel   +3 more
doaj   +1 more source

A note on regularity of LTI singular systems

, 2014
In this note, we give a counter example to show that, in generally, the criterion for regularity of linear singular system that be exposed in [1], i.e. Theorem 3.3 page 62, is not true.
Yulian Sari, Doni Xaverius, Muhafzan
semanticscholar   +1 more source

Computer vision model for the detection of canine pododermatitis and neoplasia of the paw

Veterinary Dermatology, Volume 35, Issue 2, Page 138-147, April 2024.
Background – Artificial intelligence (AI) has been used successfully in human dermatology. AI utilises convolutional neural networks (CNN) to accomplish tasks such as image classification, object detection and segmentation, facilitating early diagnosis.
Andrew Smith, Patrick W. Carroll, Srikanth Aravamuthan, Emil Walleser, Haley Lin, Kelly Anklam, Dörte Döpfer, Neoklis Apostolopoulos   +7 more
wiley   +1 more source

Energy decay of a coupled system involving a biharmonic Schrödinger equation with an internal fractional damping

Demonstratio Mathematica
In this work, we investigate the stabilization problem for coupled biharmonic Schrödinger equations with fractional internal damping. First, we establish that the system is well-posed using the semigroup theory of linear operators. Second, we demonstrate
Mtiri Foued, Chaili Amina, Bchatnia Ahmed, Beniani Abderrahmane   +3 more
doaj   +1 more source

Asymptotic behavior of solutions of a viscoelastic Shear beam model with no rotary inertia: General and optimal decay results

Open Mathematics
In this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
doaj   +1 more source

On the existence of solutions of nonlinear boundary value dynamic systems with linear part on time scales

, 2007
In this article we consider the existence of solution for the time scale system yΔ = A(t)y(t) + F (t, y(t)) for t ∈ [t0, t1]T with My(t0) + Ny(t1) = α (∗) which can be extended to delta case and problem y = A(t)y(t) + F (t, ρ(y(t)) with the same ...
I. Yasar, M. T. Dastjerdi
semanticscholar   +1 more source

Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with distributed delay

Demonstratio Mathematica
In this study, we address a Cauchy problem within the context of the one-dimensional Timoshenko system, incorporating a distributed delay term. The heat conduction aspect is described by the Lord-Shulman theory.
Choucha Abdelbaki, Boulaaras Salah, Jan Rashid, Alnegga Mohammad   +3 more
doaj   +1 more source