scholarly journals A Unified Approach for the $H_\infty$-Stability Analysis of Classical and Fractional Neutral Systems with Commensurate Delays

2018 ◽  
Vol 56 (1) ◽  
pp. 538-555 ◽  
Author(s):  
Le Ha Vy Nguyen
Keyword(s):  
Stability Analysis ◽  
Unified Approach ◽  
Neutral Systems ◽  
Commensurate Delays ◽  
Fractional Neutral Systems

A new result on stability analysis for stochastic neutral systems

Automatica ◽  
2010 ◽  
Vol 46 (12) ◽  
pp. 2100-2104 ◽  
Author(s):  
Yun Chen ◽  
Wei Xing Zheng ◽  
Anke Xue
Keyword(s):  
Stability Analysis ◽  
Neutral Systems

scholarly journals Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 364
Author(s):  
Ekaterina Madamlieva ◽  
Mihail Konstantinov ◽  
Marian Milev ◽  
Milena Petkova
Keyword(s):  
Integral Representation ◽  
Distributed Delay ◽  
Representation Formula ◽  
Neutral Systems ◽  
Initial Value ◽  
Fractional Systems ◽  
Integral Representation Formula ◽  
Linear Differential Systems ◽  
Linear Differential ◽  
Fractional Neutral Systems

The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend the corresponding results in the particular case of fractional systems with constant delays and will be a useful tool for studying different kinds of stability properties. The proposed results coincide with the corresponding ones for first order neutral linear differential systems with integer order derivatives.

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