Uniform stability of Fractional Order Leaky Integrator Echo State Neural Network with multiple time delays

被引：38

作者：

Pahnehkolaei, Seyed Mehdi Abedi ^{[1
]}

Alfi, Alireza ^{[1
]}

Tenreiro Machado, J. A. ^{[2
]}

机构：

[1] Shahrood Univ Technol, Fac Elect & Robot Engn, Shahrood 3619995161, Iran

[2] Polytech Porto, Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Oporto, Portugal

来源：

INFORMATION SCIENCES | 2017年 / 418卷

关键词：

Fractional order neural network; Echo state; Time delay; Stability; Contraction mapping; DYNAMICS; CLASSIFICATION; DISSIPATIVITY; CALCULUS; SYSTEMS;

D O I：

10.1016/j.ins.2017.08.046

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the uniform stability of the Fractional Order Leaky Integrator Echo State Neural Network (FOESN) with multiple delays. The delays occur in the transmission, the readout and the leakage of the network and have constant values. Sufficient conditions for uniform intrinsical stability of such networks in the presence of delays are provided. The intrinsical stability guarantees the FOESN is stable independently of the delays. In addition, the existence and uniqueness of the equilibrium point using the contraction mapping theorem are derived. Simulation results illustrate the effectiveness of the proposed method. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：703 / 716

页数：14

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