Computational Singular Perturbation Method and Tangential Stretching Rate Analysis of Large Scale Simulations of Reactive Flows: Feature Tracking, Time Scale Characterization, and Cause/Effect Identification. Part 2, Analyses of Ignition Systems, Laminar and Turbulent Flames

2020 ◽  
pp. 65-88
Author(s):  
M. Valorani ◽  
F. Creta ◽  
P. P. Ciottoli ◽  
R. Malpica Galassi ◽  
D. A. Goussis ◽  
...  
Keyword(s):  
Singular Perturbation ◽  
Time Scale ◽  
Large Scale ◽  
Turbulent Flames ◽  
Singular Perturbation Method ◽  
Rate Analysis ◽  
Computational Singular Perturbation ◽  
Scale Characterization ◽  
Tracking Time ◽  
Large Scale Simulations

scholarly journals On the Controllability of Discrete-Time Leader-Follower Multiagent Systems with Two-Time-Scale and Heterogeneous Features

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Mengqi Gu ◽  
Guo-Ping Jiang
Keyword(s):  
Singular Perturbation ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Time Scale ◽  
Perturbation Parameter ◽  
Fast Time ◽  
Singular Perturbation Method ◽  
Difference Systems ◽  
Heterogeneous Features ◽  
Classical Control

This paper investigates the controllability of discrete-time leader-follower multiagent systems (MASs) with two-time-scale and heterogeneous features, motivated by the fact that many real systems are operating in discrete-time. In this study, singularly perturbed difference systems are used to model the two-time-scale heterogeneous discrete-time MASs. To avoid the ill-posedness problem caused by the singular perturbation parameter when using the classical control theory to study the model, the singular perturbation method was first applied to decompose the system into two subsystems with slow-time-scale and fast-time-scale feature. Then, from the perspective of algebra and graph theory, several easier-to-use controllability criteria for the related MASs are proposed. Finally, the effectiveness of the main results is verified by simulation.

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