Asymptotic stability of the human respiratory system with multiple state‐dependent delays
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5811
Abstract: We extend the Grodins model of human cardiovascular‐respiratory system with multiple blood transport time delays into a model with four threshold type state‐dependent delays, in order to investigate the asymptotic stability of carbon dioxide concentrations… read more here.
Keywords: respiratory system; system multiple; state dependent; dependent delays ... See more keywords
Asymptotic stability in probability of singular stochastic systems with Markovian switchings
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.3795
Abstract: Summary This paper investigates the problem of asymptotic stability in probability for singular stochastic systems with Markovian switchings. A stochastic Lyapunov theorem on asymptotic stability in probability for the considered systems is provided. Also, we… read more here.
Keywords: asymptotic stability; singular stochastic; probability singular; stability ... See more keywords
Asymptotic Stability of Bresse System with One Infinite Memory in the Longitudinal Displacements
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0877-y
Abstract: The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was proved by Guesmia and Kafini (Math Methods Appl Sci 38:2389–2402, 2015) under three infinite memories, Guesmia and Kirane (Z Angew Math Phys 67:1–39,… read more here.
Keywords: one infinite; asymptotic stability; infinite memory; bresse ... See more keywords
Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1274-9
Abstract: This paper shows global-in-time existence and asymptotic decay of small solutions to the Navier–Stokes–Fourier equations for a class of viscous, heat-conductive relativistic fluids. As this second-order system is symmetric hyperbolic, existence and uniqueness on a… read more here.
Keywords: homogeneous states; viscous heat; stability homogeneous; asymptotic stability ... See more keywords
Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System
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DOI: 10.1007/s10440-018-0191-0
Abstract: In this paper, we consider the general reaction–diffusion system proposed in Abdelmalek and Bendoukha (Nonlinear Anal., Real World Appl. 35:397–413, 2017) as a generalization of the original Lengyel–Epstein model developed for the revolutionary Turing-type CIMA… read more here.
Keywords: system; asymptotic stability; reaction diffusion; global asymptotic ... See more keywords
Asymptotic stability of strongly uninvadable sets
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DOI: 10.1007/s10479-017-2695-9
Abstract: In this article, we study in detail asymptotic stability of strongly uninvadable faces generated by finite Borel sets in a continuous strategy space of an evolutionary game. It is proved that such a face is… read more here.
Keywords: stability strongly; asymptotic stability; uninvadable sets; strongly uninvadable ... See more keywords
Asymptotic Stability for the Second Order Evolution Equation with Memory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-018-9410-2
Abstract: In this paper, we consider an abstract viscoelastic equation. We use memory-type damping with a general assumption on the relaxation function and establish explicit energy decay result from which we can recover the optimal exponential… read more here.
Keywords: order evolution; second order; asymptotic stability; stability second ... See more keywords
Global Asymptotic Stability and Stabilization of Long Short-Term Memory Neural Networks with Constant Weights and Biases
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-018-1447-6
Abstract: In this paper, a global asymptotic stability condition for Long Short-Term Memory neural networks is presented. Since this condition is formulated in terms of the networks’ weight matrices and biases that are essentially control variables,… read more here.
Keywords: term memory; memory neural; long short; asymptotic stability ... See more keywords
Fixed point approach for weakly asymptotic stability of fractional differential inclusions involving impulsive effects
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0412-6
Abstract: We prove the global solvability and weakly asymptotic stability for a semilinear fractional differential inclusion subject to impulsive effects by analyzing behavior of its solutions on the half-line. Our analysis is based on a fixed… read more here.
Keywords: weakly asymptotic; asymptotic stability; fractional differential; impulsive effects ... See more keywords
On the Asymptotic Stability for Nonlinear Oscillators with Time-Dependent Damping
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DOI: 10.1007/s12346-018-0294-z
Abstract: The equation $$\begin{aligned} x''+h(t,x,x')x'+f(x)=0 \qquad (x\in \mathbb {R},\ xf(x)\ge 0,\ t\in [0,\infty )) \end{aligned}$$x′′+h(t,x,x′)x′+f(x)=0(x∈R,xf(x)≥0,t∈[0,∞))is considered, where the damping coefficient h allows an estimate $$\begin{aligned} a(t)|x'|^\alpha w(x,x')\le h(t,x,x')\le b(t) W(x,x'). \end{aligned}$$a(t)|x′|αw(x,x′)≤h(t,x,x′)≤b(t)W(x,x′).Sufficient conditions on the lower and… read more here.
Keywords: stability nonlinear; oscillators time; nonlinear oscillators; asymptotic stability ... See more keywords
Revisiting Asymptotic Stability in Solow’s Growth Model
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DOI: 10.1007/s40819-019-0687-y
Abstract: Capital $$(k_t,t\ge 0)$$(kt,t≥0) in the Solow growth model solves a nonlinear ODE defined by $$b:[0,\infty )\rightarrow \mathbb {R}$$b:[0,∞)→R where $$b^{\prime }(k)\rightarrow \infty $$b′(k)→∞ as $$k\rightarrow 0^{+}$$k→0+. Macroeconomics states Solow’s ODE has a unique positive equilibrium… read more here.
Keywords: asymptotic stability; model; rightarrow; solow growth ... See more keywords