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

2020 ◽  
Vol 43 (17) ◽  
pp. 10332-10345 ◽  
Author(s):  
Zahra Sadat Aghayan ◽  
Alireza Alfi ◽  
J. A. Tenreiro Machado
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Input Saturation ◽  
Neutral Type ◽  
Type Systems ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Neutral Type Systems

scholarly journals Stability analysis of neutral type systems in Hilbert space

2005 ◽  
Vol 214 (2) ◽  
pp. 391-428 ◽  
Author(s):  
R. Rabah ◽  
G.M. Sklyar ◽  
A.V. Rezounenko
Keyword(s):  
Hilbert Space ◽  
Stability Analysis ◽  
Neutral Type ◽  
Type Systems ◽  
Neutral Type Systems

Delay-dependent robust stability analysis of uncertain fractional-order neutral systems with distributed delays and nonlinear perturbations subject to input saturation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Zahra Sadat Aghayan ◽  
Alireza Alfi ◽  
J. A. Tenreiro Machado
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Input Saturation ◽  
Neutral Type ◽  
Domain Of Attraction ◽  
Distributed Delays ◽  
Linear Matrix ◽  
Nonlinear Perturbations ◽  
Robust Stability Analysis ◽  
Delay Dependent

Abstract In this article, we address the delay-dependent robust stability of uncertain fractional order neutral-type (FONT) systems with distributed delays, nonlinear perturbations, and input saturation. With the aid of the Lyapunov–Krasovskii functional, criteria on asymptotic robust stability of FONT, expressed in terms of linear matrix inequalities, are constructed to compute the state-feedback controller gains. The controller gains are determined subject to maximizing the domain of attraction via the cone complementarity linearization algorithm. The theoretical results are validated using numerical simulations.

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