scholarly journals Coordinated design of delay‐dependent wide‐area damping controllers considering multiple time delays

2021 ◽  
Author(s):  
Wei Yao ◽  
Cai Yan ◽  
Xinmiao Liu ◽  
Chuan‐Ke Zhang ◽  
Lin Jiang ◽  
...  
Keyword(s):  
Time Delays ◽  
Wide Area ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Damping Controllers ◽  
Delay Dependent

scholarly journals Stability Analysis of Wide Area Damping Controllers with Multiple Time Delays

2018 ◽  
Vol 51 (28) ◽  
pp. 504-509
Author(s):  
Georgios Tzounas ◽  
Muyang Liu ◽  
Mohammed Ahsan Adib Murad ◽  
Federico Milano
Keyword(s):  
Stability Analysis ◽  
Time Delays ◽  
Wide Area ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Damping Controllers

Delay-Dependent Stability Control for Power System With Multiple Time-Delays

2016 ◽  
Vol 31 (3) ◽  
pp. 2316-2326 ◽  
Author(s):  
Jian Li ◽  
Zhaohui Chen ◽  
Dongsheng Cai ◽  
Wei Zhen ◽  
Qi Huang
Keyword(s):  
Power System ◽  
Time Delays ◽  
Stability Control ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Stability and stabilizability of dynamical systems with multiple time-varying delays: delay-dependent criteria

2003 ◽  
Vol 2003 (4) ◽  
pp. 137-152 ◽  
Author(s):  
D. Mehdi ◽  
E. K. Boukas
Keyword(s):  
Time Delays ◽  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
The Stability ◽  
Delay Dependent ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

This paper deals with the class of uncertain systems with multiple time delays. The stability and stabilizability of this class of systems are considered. Their robustness are also studied when the norm-bounded uncertainties are considered. Linear matrix inequality (LMIs) delay-dependent sufficient conditions for both stability and stabilizability and their robustness are established to check if a system of this class is stable and/or is stabilizable. Some numerical examples are provided to show the usefulness of the proposed results.

Bifurcation, Synchronization, and Multistability of Two Interacting Networks with Multiple Time Delays

2016 ◽  
Vol 26 (09) ◽  
pp. 1650156 ◽  
Author(s):  
Xiaochen Mao
Keyword(s):  
Time Delays ◽  
Nearest Neighbor ◽  
Pitchfork Bifurcation ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Trivial Equilibrium ◽  
Dynamical Properties ◽  
Interacting Networks ◽  
Delay Dependent ◽  
Theoretical Results

This paper reveals the dynamical properties of two interacting neural networks with multiple couplings. Different time delays are introduced into the nearest-neighbor links and long-range connections in each layer and the couplings between different substructures. The delay-dependent and delay-independent stability and the oscillations bifurcated from the trivial equilibrium of the network are analyzed. The conditions of the existence of nontrivial equilibria and pitchfork bifurcation are discussed. Numerical simulations are performed to validate the theoretical results and interesting neuronal activities are observed, such as completely synchronous oscillations, three types of asynchronous oscillations, multiple switches between the rest states and different oscillations, coexistence of different oscillations, and coexistence of nontrivial equilibria and oscillations.

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