Second-Order Switching Time Optimization for Nonlinear Time-Varying Dynamic Systems

2011 ◽  
Vol 56 (8) ◽  
pp. 1953-1957 ◽  
Author(s):  
Elliot R. Johnson ◽  
Todd D. Murphey
Keyword(s):  
Dynamic Systems ◽  
Switching Time ◽  
Second Order ◽  
Time Varying ◽  
Time Optimization

scholarly journals Second-Order Switching Time Optimization for Switched Dynamical Systems

2017 ◽  
Vol 62 (10) ◽  
pp. 5407-5414 ◽  
Author(s):  
Bartolomeo Stellato ◽  
Sina Ober-Blobaum ◽  
Paul J. Goulart
Keyword(s):  
Dynamical Systems ◽  
Switching Time ◽  
Second Order ◽  
Time Optimization

scholarly journals Group Consensus of Second-Order Dynamic Multi-Agent Systems with Time-Varying Communication Delays and Directed Networks

2016 ◽  
Vol 4 (3) ◽  
pp. 258-268 ◽  
Author(s):  
Shuanghe Meng ◽  
Lü Xu ◽  
Liang Chen
Keyword(s):  
Dynamic Systems ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Matrix ◽  
Time Varying ◽  
Communication Delays ◽  
Matrix Inequalities ◽  
Group Consensus ◽  
Multi Agent Systems ◽  
Multi Agent

AbstractThis paper studies the group consensus problem for second-order multi-agent dynamic systems with time-varying delays, where the agents in a network may reach one more consistent values asymptotically. The fixed network topology is in case of being directed and weakly connected. Based on algebraic graph theory and Lyapunov function approach, we propose some sufficient conditions for reaching group consensus. All the results are presented in the form of linear matrix inequalities(LMIs). A simulation example is provided to demonstrate the effectiveness of the theoretical analysis.

A parametric family of Massey-type methods: inference, prediction, and sensitivity

2020 ◽  
Vol 16 (3) ◽  
pp. 255-269
Author(s):  
Enrico Bozzo ◽  
Paolo Vidoni ◽  
Massimo Franceschet
Keyword(s):  
Quantitative Analysis ◽  
Control Theory ◽  
Dynamic Systems ◽  
Parametric Family ◽  
Time Varying ◽  
Multi Agent ◽  
Key Features ◽  
The Stability ◽  
Agent Coordination ◽  
Time Aware

AbstractWe study the stability of a time-aware version of the popular Massey method, previously introduced by Franceschet, M., E. Bozzo, and P. Vidoni. 2017. “The Temporalized Massey’s Method.” Journal of Quantitative Analysis in Sports 13: 37–48, for rating teams in sport competitions. To this end, we embed the temporal Massey method in the theory of time-varying averaging algorithms, which are dynamic systems mainly used in control theory for multi-agent coordination. We also introduce a parametric family of Massey-type methods and show that the original and time-aware Massey versions are, in some sense, particular instances of it. Finally, we discuss the key features of this general family of rating procedures, focusing on inferential and predictive issues and on sensitivity to upsets and modifications of the schedule.

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