Estimate of finite-time domain of attraction for a class of nonlinear Hamiltonian systems with time delay

2014 ◽  
Author(s):  
Renming Yang ◽  
Yuzhen Wang ◽  
Hairong Xiao ◽  
Fuguang Yang
Keyword(s):  
Time Delay ◽  
Hamiltonian Systems ◽  
Time Domain ◽  
Finite Time ◽  
Domain Of Attraction

Finite-Time Consensus in Undirected/Directed Network Topologies

2010 ◽  
Author(s):  
Mohammad Reza Doostmohammadian ◽  
Hassan Sayyaadi
Keyword(s):  
Time Delay ◽  
Time Domain ◽  
Finite Time ◽  
Directed Network ◽  
Lyapunov Theorem ◽  
Bidirectional Communication ◽  
Communication Time ◽  
Network Topologies ◽  
Final Agreement

The main contribution of this paper is to introduce a novel non-Lipschitz protocol that guarantees consensus in finite-time domain. Its convergence in networks with both unidirectional and bidirectional links is investigated via Lyapunov Theorem approach. It is also proved that final agreement value is equal to average of agents’ states for the bidirectional communication case. In addition effects of communication time-delay on stability are assessed and two other continuous Lipschitz protocols are also analyzed.

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.

Sign in / Sign up

Export Citation Format

Share Document