scholarly journals Optimal design of fractional order linear system with stochastic inputs/parametric uncertainties by hybrid spectral method

2014 ◽  
Vol 24 (10) ◽  
pp. 1639-1645 ◽  
Author(s):  
Pham Luu Trung Duong ◽  
Moonyong Lee
Keyword(s):  
Optimal Design ◽  
Linear System ◽  
Spectral Method ◽  
Fractional Order ◽  
Parametric Uncertainties ◽  
Order Linear ◽  
Stochastic Inputs

On the asymptotic stability of linear system of fractional-order difference equations

2013 ◽  
Vol 16 (3) ◽  
Author(s):  
Raghib Abu-Saris ◽  
Qasem Al-Mdallal
Keyword(s):  
Asymptotic Stability ◽  
Linear System ◽  
Fractional Order ◽  
Difference Equations ◽  
Equilibrium Solution ◽  
Initial Condition ◽  
System Of Difference Equations ◽  
Order Difference ◽  
Order Linear ◽  
The Stability

AbstractIn this paper we investigate the stability of the equilibrium solution of the νth order linear system of difference equations $(\Delta _{a + \nu - 1}^\nu y)(t) = \Lambda y(t + \nu - 1);t \in \mathbb{N}_a ,a \in \mathbb{R},and\Lambda \in \mathbb{R}^{p \times p} ,$ subject to the initial condition $y(a + \nu - 1) = y - 1,$, where 0 < ν < 1 and y−1 ∈ ℝp.

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