Stability analysis of fractional order neutral-type systems considering time varying delays, nonlinear perturbations, and input saturation

被引：15
作者：
Aghayan, Zahra Sadat [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, Dept Elect Engn, Inst Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Porto, Portugal
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 17期
关键词：
actuator saturation; cone complementarity linearization; fractional calculus; neutral-type delay; perturbations; robust stability; NEURAL-NETWORKS; EXPONENTIAL STABILITY; CALCULUS; DISCRETE;
D O I：
10.1002/mma.6701
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article investigates the robust stability of fractional order neutral-type systems involving nonlinear perturbations and time varying delays in the presence of input saturation. Design criteria, expressed in terms of linear matrix inequalities, are derived with the aid of the Lyapunov Krasovskii functional for the state feedback controller. Based on the cone complementarity linearization method, an optimization problem is also formulated for finding the controller gains subject to maximizing the domain of attraction. The main results are confirmed by numerical simulations.
引用
收藏
页码：10332 / 10345
页数：14
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