Results 11 to 20 of about 168,344 (183)
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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A Region-Dependent Gain Condition for Asymptotic Stability [PDF]
, 2015 A sufficient condition for the stability of a system resulting from the interconnection of dynamical systems is given by the small gain theorem. Roughly speaking, to apply this theorem, it is required that the gains composition is continuous, increasing ...
Andrieu, Vincent +2 more
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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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Asymptotic Search for Ground States of SU(2) Matrix Theory [PDF]
, 1997 We introduce a complete set of gauge-invariant variables and a generalized Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic solutions of the Schrodinger equation of SU(2) matrix theory.
Banks T. +5 more
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Invariant Regions and Global Asymptotic Stability in an Isothermal Catalyst [PDF]
, 1988 A well-known model for the evolution of the (space-dependent) concentration and (lumped) temperature in a porous catalyst is considered. A sequence of invariant regions of the phase space is given, which converges to a globally asymptotically stable ...
Aris R. +4 more
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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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