Results 61 to 70 of about 168,344 (183)
Mathematics, 2020 We study the global asymptotic stability problem with respect to the fractional-order quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in this paper.
Usa Humphries +6 more
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Global asymptotic stability of a nonlinear recursive sequence
Applied Mathematics Letters, 2004 Using a ``semicycle analysis method'' developed by the authors, they prove that the positive equilibrium of the nonlinear difference equation \[ x_{n+1}=\frac{x_nx_{n-1}^b+x_{n-2}^b+a}{x_{n-1}^b+x_nx_{n-2}^b+a}, \quad n\geq 0 \] is globally asymptotically stable for parameters \(a\geq 0\), \(b>0\) and initial values \(x_{-2},x_{-1},x_0>0\).
Xianyi, Li, Zhu, Deming
openaire +2 more sources
On the Stability of Some Discrete Fractional Nonautonomous Systems
Abstract and Applied Analysis, 2012 Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are ...
Fahd Jarad +3 more
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On the Stability of Collocated Controllers in the Presence or Uncertain Nonlinearities and Other Perils [PDF]
, 1985 Robustness properties are investigated for two types of controllers for large flexible space structures, which use collocated sensors and actuators. The first type is an attitude controller which uses negative definite feedback of measured attitude and ...
Joshi, S. M.
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The size and shape of equilibrium capillary surfaces [PDF]
, 1982 The classical theory of capillary is concerned largely with size and shape estimates in symmetric asymptotic configurations. Recent developments leading to global results for all symmetric cases, and to qualitative information on asymptotic properties ...
Finn, R.
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Stability of the third order rational difference equation
MANAS: Journal of Engineering, 2020 In this paper, we examine the global stability and boundedness of the difference equation \[ x_{n+1}=\frac{\alpha x_{n}x_{n-1}+\beta x_{n}x_{n-2}}{\gamma {x}_{n-1}+\theta {x}_{n-2}}\]where the initial conditions are non zero real numbers and are ...
Mehmet Emre Erdoğan
doaj
Lyapunov Theorems for Systems Described by Retarded Functional Differential Equations
, 2005 Lyapunov-like characterizations for non-uniform in time and uniform robust global asymptotic stability of uncertain systems described by retarded functional differential equations are ...
Karafyllis, Iasson
core
Naive fictitious play in an evolutionary environment [PDF]
, 2006 A fictitious play algorithm with a unit memory length within an evolutionary environment is considered. The aggregate average behavior model is proposed and analyzed.
Ramsza, M.
core
Global Asymptotic Stability of a Family of Nonlinear Difference Equations
Discrete Dynamics in Nature and Society, 2013 In this note, we consider global asymptotic stability of the following nonlinear difference equation xn=(∏i=1v(xn-kiβi+1)+∏i=1v(xn-kiβi-1))/(∏i=1v(xn-kiβi+1)-∏i=1v(xn-kiβi-1)), n=0,1,…, where ki∈ℕ (i=1,2,…,v), v≥2, β1∈[-1,1], β2,β3,…,βv∈(-∞,+∞), x-m,x-
Maoxin Liao
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An asinh-type regulator for robot manipulators with global asymptotic stability
Automatika, 2020 In this paper, a new asinh-type control scheme with gravity compensation for the position control problem of robot manipulators in joint space is presented. The properties and characteristics of the asinh control structure make the position error and the
Fernando Reyes-Cortes +1 more
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