Results 41 to 50 of about 2,013,353 (284)
Lyapunov-Razumikhin method for differential equations with piecewise constant argument
Discrete and Continuous Dynamical Systems, 2009 At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.
AKHMET, MARAT, Arugaslan, Duygu
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
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Discrete-Time Stability Analysis of Neural Networks with Piecewise Constant Arguments
MathematicsThis paper studies the stability properties of a class of Hopfield-type neural networks involving conformable derivatives and piecewise constant arguments.
Gizem S. Oztepe, Fatma Karakoç
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Boundary value problems for the diffusion equation with piecewise continuous time delay
International Journal of Mathematics and Mathematical Sciences, 1997 A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (
Joseph Wiener, Lokenath Debnath
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Oscillation of a Differential Equation with Fractional Delay and Piecewise Constant Arguments
Computers & Mathematics with Applications, 2006 The delay differential equation \[ x'(t) + px \bigl( t - \tfrac{1}{2} \bigr) + q x([t-k]) = 0 \tag{1} \] is considered, where \(p\), \(q \in {\mathbb R}\), \(p \neq 0\), \(k\) is a nonnegative integer, and \([\cdot]\) denotes the greatest-integer function.
Youbin Wang, Jurang Yan
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.An explicit constitutive reconstruction framework enables accurate tensile characterization of miniaturized additively manufactured specimens using only the grip‐to‐grip displacement measurements. Progressive validation through self‐consistency, analytical comparison, and inverse finite element method (iFEM) benchmarking demonstrates constitutive ...
Junqing Leng +4 more
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Runge–Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments [PDF]
, 2009 In this paper we deal with the numerical solutions of Runge–Kutta methods for first-order periodic boundary value differential equations with piecewise constant arguments. The numerical solution is given by the numerical Green’s function.
Liu, M.Z., Nieto, Juan J., Yang, Z.W.
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Open Mathematics, 2020 In this paper, we describe a method to solve the problem of finding periodic solutions for second-order neutral delay-differential equations with piecewise constant arguments of the form x″(t) + px″(t − 1) = qx([t]) + f(t), where [⋅] denotes the greatest
I. Muminov Mukhiddin, H. M. Murid Ali
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Analysis of the outbreak of the novel coronavirus COVID-19 dynamic model with control mechanisms
Results in Physics, 2020 The mathematical models of infections are essential tools in understanding the dynamical behavior of disease transmission. In this paper, we establish a model of differential equations with piecewise constant arguments that explores the outbreak of Covid-
Fatma Bozkurt +2 more
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