Finite-time stability analysis and control for a class of nonlinear time-delay Hamiltonian systems

Automatica ◽  
2013 ◽  
Vol 49 (2) ◽  
pp. 390-401 ◽  
Author(s):  
Renming Yang ◽  
Yuzhen Wang
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Hamiltonian Systems ◽  
Finite Time ◽  
Time Stability ◽  
Finite Time Stability ◽  
And Control

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

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