A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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An Asymptotic Stability and a Uniform Asymptotic Stability for Functional Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1993 We consider a system of functional differential equation x ′
Younhee Ko
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Asymptotic stability of switching systems
Electronic Journal of Differential Equations, 2010 In this article, we study the uniform asymptotic stability of the switched system $u'=f_{ u(t)}(u)$, $uin mathbb{R}^n$, where $ u:mathbb{R}_{+}o {1,2,dots,m}$ is an arbitrary piecewise constant function. We find criteria for the asymptotic stability
Driss Boularas, David Cheban
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A weak invariance principle and asymptotic stability for evolution equations with bounded generators [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 If V is a Lyapunov function of an equation du/dt=u′=Zu in a Banach space then asymptotic stability of an equilibrium point may be easily proved if it is known that sup(V′)
E. N. Chukwu, P. Smoczynski
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Qualitative analysis of a mechanical system of coupled nonlinear oscillators
Electronic 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
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Fractal 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
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Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays [PDF]
TransNav, 2013 Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with many delays are established.
Tadeusz Kaczorek
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Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula 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
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Asymptotic stability of some equations [PDF]
Journal of Hyperstructures, 2019 In this paper, we investigate asymptotic stability of several integral and differential equations.
Nasrin Eghbali, Aram Moharramnia
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Asymptotic stability of the Skyrmion [PDF]
Physical Review D, 2007 We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail).
Bizoń, Piotr +2 more
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