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GLOBAL ROBUST STABILITY OF TIME-DELAY SYSTEMS WITH DISCONTINUOUS ACTIVATION FUNCTIONS UNDER POLYTOPIC PARAMETER UNCERTAINTIES
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 Title & Authors
GLOBAL ROBUST STABILITY OF TIME-DELAY SYSTEMS WITH DISCONTINUOUS ACTIVATION FUNCTIONS UNDER POLYTOPIC PARAMETER UNCERTAINTIES
Wang, Zengyun; Huang, Lihong; Zuo, Yi; Zhang, Lingling;
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 Abstract
This paper concerns the problem of global robust stability of a time-delay discontinuous system with a positive-defined connection matrix under polytopic-type uncertainty. In order to give the stability condition, we firstly address the existence of solution and equilibrium point based on the properties of M-matrix, Lyapunov-like approach and the theories of differential equations with discontinuous right-hand side as introduced by Filippov. Second, we give the delay-independent and delay-dependent stability condition in terms of linear matrix inequalities (LMIs), and based on Lyapunov function and the properties of the convex sets. One numerical example demonstrate the validity of the proposed criteria.
 Keywords
global robust stability;delayed neural network;delay-independent condition;delay-dependent condition;linear matrix inequality;discontinuous neuron activation;
 Language
English
 Cited by
1.
Long Time Behavior for a System of Differential Equations with Non-Lipschitzian Nonlinearities, Advances in Artificial Neural Systems, 2014, 2014, 1  crossref(new windwow)
2.
H∞ control for neural networks with discontinuous activations and nonlinear external disturbance, Journal of the Franklin Institute, 2015, 352, 8, 3144  crossref(new windwow)
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