Paper Info
Title
Convergence conditions for some classes of nonlinear systems.
Abstract
Systems of differential equations with nonlinearities of a sector type and almost periodic perturbations are studied. With the aid of the Lyapunov direct method, conditions are found under which the considered systems admit globally asymptotically stable almost periodic solutions. Moreover, it is shown that the proposed approach permits us to derive new convergence conditions for some models of neural networks and generalized Lotka–Volterra models of population dynamics. An example is presented to demonstrate the effectiveness of the obtained results.
Year
DOI
Venue
2017
10.1016/j.sysconle.2017.04.003
Systems & Control Letters
Keywords
Field
DocType
Nonlinear nonstationary systems,Almost periodic oscillations,Asymptotic stability,Convergence,Lyapunov functions,Population dynamics
Convergence (routing),Population,Differential equation,Lyapunov function,Mathematical optimization,Nonlinear system,Control theory,Mathematical analysis,Exponential stability,Periodic graph (geometry),Mathematics,Stability theory
Journal
Volume
ISSN
Citations 
104
0167-6911
0
PageRank 
References 
Authors
0.34
9
2
Name
Order
Citations
PageRank
A. Yu. Aleksandrov1518.42
Elena B. Aleksandrova200.34