Results 11 to 20 of about 8,492 (262)
Global Asymptotic Stability of a Rational System [PDF]
Abstract and Applied Analysis, 2014 The main goal of this paper is to investigate the global asymptotic behavior of the difference equation xn+1=β1xn/A1+yn, yn+1=β2xn+γ2yn/xn+yn, n=0,1,2,… with β1,β2,γ2,A1∈(0,∞) and the initial value (x0,y0)∈[0,∞)×[0,∞) such that x0+y0≠0.
Lin-Xia Hu, Xiu-Mei Jia
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Global asymptotic stability of inhomogeneous iterates [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Let (M,d) be a finite-dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non-autonomous discrete dynamical system xn+1=Tnxn and the globally asymptotic stability of the inhomogeneous iterates of ...
Yong-Zhuo Chen
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Global Asymptotic Stability of a Nonautonomous Difference Equation [PDF]
Journal of Applied Mathematics, 2014 We study the following nonautonomous difference equation: xn+1=(xnxn-1+pn)/(xn+xn-1), n=0,1,…, where pn>0 is a period-2 sequence and the initial values x-1,x0∈(0,∞).
Mehmet Gümüş, Özkan Öcalan
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Global asymptotic stability in quadratic systems
Electronic Journal of Differential EquationsA classical problem in the qualitative theory of differential systems that is relevant for its applications, is to characterize the differential systems which are globally asymptotically stable, that is differential systems having a unique equilibrium point for which all their orbits, with the exception of the equilibrium point, tend in forward time ...
Jaume Llibre, Claudia Valls
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Some Results About Global Asymptotic Stability [PDF]
Qualitative Theory of Dynamical Systems, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Castañeda, Álvaro, Guíñez, Víctor
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Alexandria 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
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GLOBAL ASYMPTOTIC STABILIZATION OF THE SPINNING TOP [PDF]
Optimal Control Applications and Methods, 1995 SUMMARYWe consider the problem of controlling a top to the sleeping motion using two different actuation schemes. For a fixed‐base top two actuators are assumed to provide forces at the centre of mass in inertially fixed directions, while for a cart‐mounted top two actuators are assumed to apply forces to the cart in inertially fixed directions.
Wan, Chih-Jian +2 more
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Some results on cascade discrete-time systems
Discrete Dynamics in Nature and Society, 2006 We present sufficient conditions for global asymptotic stability of cascade discrete-time systems. Considering failure of the global asymptotic stability in some cascade systems, we give an estimate of the region of attraction of the systems.
Xiao-Ming Bai +2 more
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Global asymptotic stability of nonlinear periodic impulsive equations [PDF]
Miskolc Mathematical Notes, 2018 Pseudo-linear impulsive differential equations in a Banach space are considered. It is assumed that the conditions of a small change in the operator coefficients of the equation are satisfied. Using the method of "frozen" coefficients and the methods of commutator calculus, the problem of global asymptotic stability of a pseudo-linear impulsive ...
Slyn'ko, Vitalii, Tunc, Cemil
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Mathematics, 2023 In this paper, the global asymptotic stability and global Mittag–Leffler stability of a class of fractional-order fuzzy bidirectional associative memory (BAM) neural networks with distributed delays is investigated.
M. Syed Ali +5 more
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