Results 11 to 20 of about 78,497 (174)

The Cauchy problem for singularly perturbed higher-order integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2019
The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova   +3 more
doaj   +1 more source

Complete Controllability Conditions for Linear Singularly Perturbed Time-Invariant Systems with Multiple Delays via Chang-Type Transformation

open access: yesAxioms, 2019
The problem of complete controllability of a linear time-invariant singularly-perturbed system with multiple commensurate non-small delays in the slow state variables is considered.
Olga Tsekhan
doaj   +1 more source

Robust Stabilization and Observer-Based Stabilization for a Class of Singularly Perturbed Bilinear Systems

open access: yesMathematics, 2021
An infinite-bound stabilization of a system modeled as singularly perturbed bilinear systems is examined. First, we present a Lyapunov equation approach for the stabilization of singularly perturbed bilinear systems for all ε∈(0, ∞).
Ding-Horng Chen   +2 more
doaj   +1 more source

Event‐triggered control of singularly perturbed linear system with DoS attacks

open access: yesIET Control Theory & Applications, 2021
This paper presents the event‐triggered control problem of linear singularly perturbed systems in the presence of denial‐of‐service attacks. To save the communication and computing resources, event‐triggered mechanisms in two transmission channels are ...
Xiang Ren, Fei Hao
doaj   +1 more source

Numerical Analysis of the Shortest Queue Problem for a Time-Scalable Queuing System with a Small Parameter on a Non-Uniform Grid Scheme

open access: yesСовременные информационные технологии и IT-образование, 2022
In this paper, we use numerical methods using an uneven Shishkin grid to analyze the queue lengths of a time-scalable queuing system ( ) for which there is a Poisson incoming flow of requests with an intensity and service time , where is the service
Mohamed Adel Bouatta   +3 more
doaj   +1 more source

Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter

open access: yesJournal of Computational and Applied Mathematics, 2017
In this work, we consider an optimal accurate numerical approximation for the boundary layer adaptive solution of a system of reaction–diffusion problems involving a small perturbation parameter.
P. Das, J. Vigo-Aguiar
semanticscholar   +1 more source

Asynchronous Stabilization of Nonlinear Markov Jump Singularly Perturbed Systems via Fuzzy Static Output Feedback Control

open access: yesComplexity, 2021
This study focuses on the static output feedback control of nonlinear Markov jump singularly perturbed systems within the framework of Takagi–Sugeno fuzzy approximation. From a practical point of view, the phenomenon of asynchronous switching between the
Baogang Ding   +3 more
doaj   +1 more source

Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations

open access: yesAbstract and Applied Analysis, 2013
This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations.
Şuayip Yüzbaşı, Mehmet Sezer
doaj   +1 more source

Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

open access: yesAin Shams Engineering Journal, 2015
In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy   +3 more
doaj   +1 more source

The asymptotic solution of a singularly perturbed Cauchy problem for Fokker-Planck equation

open access: yesDiscrete and Continuous Models and Applied Computational Science, 2021
The asymptotic method is a very attractive area of applied mathematics. There are many modern research directions which use a small parameter such as statistical mechanics, chemical reaction theory and so on. The application of the Fokker-Planck equation
Mohamed A. Bouatta   +2 more
doaj   +1 more source

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