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Global Asymptotic Controllability Implies Input-to-State Stabilization [PDF]
SIAM Journal on Control and Optimization, 2004 We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state stable with respect to actuator errors.
Malisoff, Michael +2 more
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Oscillation and Global Asymptotic Stability
Journal of Mathematical Analysis and Applications, 2000 The authors establish oscillation results and global asymptotic stability for the difference equation \[ y_{n+1}= A+{y_ny_{n-2} \cdots y_{n-(2k-2)} \over y_{n-1}y_{n-3} \cdots y_{n-(2k-1)}},\;A>0,\;k\geq 2,\;n\geq 2k. \] For related results see the paper of \textit{R. De Vault}, \textit{G. Ladas} and \textit{S. W. Schultz} [Proc. Am. Math. Soc. 126, No.
Mishev, D.P, Patula, W.T
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Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Journal of Mathematics, 2023 This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
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Global Asymptotic Stability of a System of Difference Equations with Quadratic Terms
Communications in Advanced Mathematical Sciences, 2023 In this article, we discuss the global asymptotic stability of following system of difference equations with quadratic terms: $x_{i+1}=\alpha+\beta \frac{y_{i-1}}{y_{i}^{2}},\quad y_{i+1}=\alpha+\beta \frac{x_{i-1}}{x_{i}^{2} }$ where $\alpha$, $\beta ...
Mohamed Abd El-moneam
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Global Stability Analysis of a Curzon–Ahlborn Heat Engine under Different Regimes of Performance
Entropy, 2014 We present a global stability analysis of a Curzon–Ahlborn heat engine considering different regimes of performance. The stability theory is used to construct the Lyapunov functions to prove the asymptotic stability behavior around the steady state of ...
Israel Reyes-Ramírez +3 more
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Global asymptotic stability of a delayed plant disease model
Mathematics in Applied Sciences and Engineering, 2020 In this paper, we consider the following system of delayed differential equations, \[ \left\{ \begin {array}{rcl} \frac {dS(t)}{dt} & = & \sigma \phi-\beta S(t)I(t-\tau)-\eta S(t), \\ \frac {dI(t)}{dt} & = & \sigma(1-\phi)+\beta S(t)I(t-\tau)-(\eta ...
Yuming Chen, Chongwu Zheng
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Oscillation and global asymptotic stability of a neuronic equation with two delays
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given.
Hassan A. El-Morshedy, B. M. Elmatary
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Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation
Discrete Dynamics in Nature and Society, 2014 We investigate the local stability and the global asymptotic stability of the difference equation xn+1=αxn2+βxnxn-1+γxn-1/Axn2+Bxnxn-1+Cxn-1, n=0,1,… with nonnegative parameters and initial conditions such that Axn2+Bxnxn-1+Cxn-1>0, for all n≥0.
Senada Kalabušić +2 more
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Mathematics, 2020 A single species stage structure model with Michaelis–Menten-type juvenile population harvesting is proposed and investigated. The existence and local stability of the model equilibria are studied.
Xiangqin Yu, Zhenliang Zhu, Fengde Chen
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Global Stability of Traveling Waves for the Lotka–Volterra Competition System with Three Species
Mathematics, 2023 The stability of traveling waves for the Lotka–Volterra competition system with three species is investigated in this paper. Specifically, we first show the asymptotic behavior of traveling wave solutions and then establish the local stability and the ...
Shulin Hu, Chaohong Pan, Lin Wang
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