Results 1 to 10 of about 2,662,596 (297)

Qualitative analysis of a mechanical system of coupled nonlinear oscillators

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper we investigate nonlinear systems of second order ODEs describing the dynamics of two coupled nonlinear oscillators of a mechanical system. We obtain, under certain assumptions, some stability results for the null solution.
Gheorghe Moroșanu   +1 more
doaj   +1 more source

Asymptotic and Robust Stabilization Control for the Whole Class of Fractional-Order Gene Regulation Networks with Time Delays

open access: yesFractal and Fractional, 2022
Throughout this article, a novel control strategy for fractional-order gene regulation networks (FOGRN) of all categories is designed by using the vector Lyapunov function in combination with the M-matrix measure. Firstly, a series of puzzles surrounding
Zitong Li   +3 more
doaj   +1 more source

Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays [PDF]

open access: yesTransNav, 2013
Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with many delays are established.
Tadeusz Kaczorek
doaj   +1 more source

Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]

open access: yesOpuscula Mathematica, 2022
This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
doaj   +1 more source

Asymptotic stability of some equations [PDF]

open access: yesJournal of Hyperstructures, 2019
In this paper, we investigate asymptotic stability of several integral and differential equations.
Nasrin Eghbali, Aram Moharramnia
doaj   +1 more source

On asymptotic properties of solutions for differential equations of neutral type

open access: yesСовременная математика: Фундаментальные направления, 2023
The stability of systems of linear autonomous functional differential equations of neutral type is studied. The study is based on the well-known representation of the solution in the form of an integral operator, the kernel of which is the Cauchy ...
V. V. Malygina, K. M. Chudinov
doaj   +1 more source

Metzler asymptotic stability of initial time linear time-varying real-order systems

open access: yesFranklin Open, 2023
Determining the asymptotics of many time-varying systems associated with real orders remains a challenging issue in qualitative asymptotic theory. This paper introduces a new concept of Metzler asymptotic stability to linear time-varying real-order ...
Bichitra Kumar Lenka   +1 more
doaj   +1 more source

On asymptotic output stability for delay differential systems [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика
The purpose of this study is to obtain sufficient conditions for output asymptotic stability of nonlinear nonautonomous time-delay systems described by ordinary differential equations.
Sedova, Natalia Olegovna
doaj   +1 more source

Stability analysis of electrical RLC circuit described by the Caputo-Liouville generalized fractional derivative

open access: yesAlexandria Engineering Journal, 2020
We consider an electrical RLC circuit in two-dimensional spaces described by a fractional-order derivative. We propose the qualitative properties of the proposed model. We analyze the local asymptotic stability and the global asymptotic stability for the
Ndolane Sene
doaj   +1 more source

Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching

open access: yesOpen Mathematics, 2021
The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching.
Zhang Xiaozhi   +2 more
doaj   +1 more source

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