On robust stability of LTI fractional-order delay systems of retarded and neutral type

Automatica ◽  
2010 ◽  
Vol 46 (2) ◽  
pp. 362-368 ◽  
Author(s):  
Kamran Akbari Moornani ◽  
Mohammad Haeri
Keyword(s):  
Fractional Order ◽  
Robust Stability ◽  
Neutral Type ◽  
Delay 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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