Cucker–Smale flocking under rooted leadership and time-varying heterogeneous delays

2019 ◽  
Vol 98 ◽  
pp. 453-460 ◽  
Author(s):  
Lei Shi ◽  
Yuhua Cheng ◽  
Jianguo Huang ◽  
Jinliang Shao
Keyword(s):  
Time Varying ◽  
Heterogeneous Delays

scholarly journals H∞Consensus for Multiagent Systems with Heterogeneous Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Beibei Wang ◽  
Yuangong Sun
Keyword(s):  
Multiagent Systems ◽  
Multiagent System ◽  
Sufficient Conditions ◽  
Order System ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Reduced Order ◽  
Heterogeneous Delays ◽  
Theoretical Results

We apply the linear matrix inequality method to consensus andH∞consensus problems of the single integrator multiagent system with heterogeneous delays in directed networks. To overcome the difficulty caused by heterogeneous time-varying delays, we rewrite the multiagent system into a partially reduced-order system and an integral system. As a result, a particular Lyapunov function is constructed to derive sufficient conditions for consensus of multiagent systems with fixed (switched) topologies. We also apply this method to theH∞consensus of multiagent systems with disturbances and heterogeneous delays. Numerical examples are given to illustrate the theoretical results.

Time-varying Macroeconomic Risk of Real Estate Returns

2016 ◽  
Author(s):  
Felix Schindler ◽  
Bertram Steininger ◽  
Tim Kroencke
Keyword(s):  
Real Estate ◽  
Time Varying ◽  
Macroeconomic Risk ◽  
Real Estate Returns
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