Results 31 to 40 of about 102 (61)

Razumikhin′s method in the qualitative theory of processes with delay

International Journal of Stochastic Analysis, Volume 8, Issue 3, Page 233-247, 1995., 1995
B.S. Razumikhin′s concept in the qualitative theory of systems delay is clarified and discussed. Various ways of improvements of stability conditions are considered. The author shows that the guiding role of Lyapunov functions and demonstrates Razumikhin′s method as a practical case of continuous version of the mathematical induction.
Anatoly D. Myshkis
wiley   +1 more source

DELAY-DEPENDENT DECENTRALIZED EXPONENTIAL STABILITY OF NONLINEAR LARGE-SCALE SYSTEMS WITH NON-DIFFERENTIABLE AND INTERVAL TIME-VARYING DELAY IN INTERCONNECTION

, 2014
This paper addresses decentralized exponential stability problem for a class of nonlinear large-scale systems with time-varying delay in interconnection is considered.
G. Rajchakit
semanticscholar   +1 more source

Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 103-112, 1994., 1993
Time‐invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one‐shot construction of a Lyapunov function, for asymptotic stability of a compact invariant set and for the exact determination of the asymptotic stability domain of the invariant set ...
Ljubomir T. Grujic
wiley   +1 more source

AN IMPROVED EXPONENTIAL STABILITY OF SWITCHED NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAY

, 2014
This paper studies the problem for exponential stability of switched neural networks with interval time-varying delay. The time delay is a continuous function belonging to a given interval, but not necessary to be differentiable. By constructing a set of
M. Rajchakit, G. Rajchakit
semanticscholar   +1 more source

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

Mathematical model on influence of past experiences on present activities of human brain

Computational and Mathematical Biophysics
This article explores how emotional feelings linked to stored memories of past experiences influence the present activity of the human brain. To analyse this, a mathematical model is considered describing the dynamics in a two-layered network in which ...
Rao P. Raja Sekhara, Ratnam K. Venkata, Shirisha G.   +2 more
doaj   +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

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