356 citations · 1.7k across the 67 of their papers we have counts for
17 papers · 1 filter
Geometric analysis of Oscillations in the Frzilator model
Hadi Taghvafard, Hildeberto Jardon-Kojakhmetov, Peter Szmolyan +1
A biochemical oscillator model, describing developmental stage of myxobacteria, is analyzed mathematically. Observations from numerical simulations show that in a certain range of…
Analysis of a Nonlinear Opinion Dynamics Model with Biased Assimilation
Weiguo Xia, Mengbin Ye, Ji Liu +2
This paper analyzes a nonlinear opinion dynamics model which generalizes the DeGroot model by introducing a bias parameter for each individual. The original DeGroot model is recove…
Time-varying constrained proximal type dynamics in multi-agent network games
Carlo Cenedese, Giuseppe Belgioioso, Sergio Grammatico +1
In this paper, we study multi-agent network games subject to affine time-varying coupling constraints and a time-varying communication network. We focus on the class of games adopt…
Applications of the Poincaré--Hopf Theorem: Epidemic Models and Lotka--Volterra Systems
Mengbin Ye, Ji Liu, Brian D. O. Anderson +1
This paper focuses on the equilibria and their regions of attraction for continuous-time nonlinear dynamical systems. The classical Poincaré--Hopf Theorem from differential topolog…
Path Following Control in 3D Using a Vector Field
Weijia Yao, Ming Cao
Using a designed vector field to control a mobile robot to follow a given desired path is intuitive and practical, and to build a rigorous theory to guide its implementation is ess…
Charging plug-in electric vehicles as a mixed-integer aggregative game
Carlo Cenedese, Filippo Fabiani, Michele Cucuzzella +3
We consider the charge scheduling coordination of a fleet of plug-in electric vehicles, developing a hybrid decision-making framework for efficient and profitable usage of the dist…
Partial Exponential Stability Analysis of Slow-fast Systems via Periodic Averaging
Yuzhen Qin, Yu Kawano, Brian D. O. Anderson +1
This paper presents some new criteria for partial exponential stability of a slow-fast nonlinear system with a fast scalar variable using periodic averaging methods. Unlike classic…
Global Convergence for Replicator Dynamics of Repeated Snowdrift Games
Pouria Ramazi, Ming Cao
To understand the emergence and sustainment of cooperative behavior in interacting collectives, we perform global convergence analysis for replicator dynamics of a large, well-mixe…
Recurrent Averaging Inequalities in Multi-Agent Control and Social Dynamics Modeling
Anton V. Proskurnikov, Giuseppe Calafiore, Ming Cao
Many multi-agent control algorithms and dynamic agent-based models arising in natural and social sciences are based on the principle of iterative averaging. Each agent is associate…
Zero-Determinant strategies in repeated multiplayer social dilemmas with discounted payoffs
Alain Govaert, Ming Cao
In two-player repeated games, Zero-Determinant (ZD) strategies enable a player to unilaterally enforce a linear payoff relation between her own and her opponent's payoff irrespecti…
Asynchronous and time-varying proximal type dynamics multi-agent network games
Carlo Cenedese, Giuseppe Belgioioso, Yu Kawano +2
In this paper, we study proximal type dynamics in the context of noncooperative multi-agent network games. These dynamics arise in different applications, since they describe distr…
Angle rigidity and its usage to stabilize planar formations
Liangming Chen, Ming Cao, Chuanjiang Li
Motivated by the challenging formation stabilization problem for mobile robotic teams when no distance or relative displacement measurements are available and each robot can only m…
Distributed Global Output-Feedback Control for a Class of Euler-Lagrange Systems
Qingkai Yang, Hao Fang, Jie Chen +2
This published paper investigates the distributed tracking control problem for a class of Euler-Lagrange multi-agent systems when the agents can only measure the positions. In this…
Partial Phase Cohesiveness in Networks of Kuramoto Oscillator Networks
Yuzhen Qin, Yu Kawano, Oscar Portoles +1
Partial, instead of complete, synchronization has been widely observed in various networks including, in particular, brain networks. Motivated by data from human brain functional n…
Lyapunov Criterion for Stochastic Systems and Its Applications in Distributed Computation
Yuzhen Qin, Ming Cao, Brian D. O. Anderson
This paper presents new sufficient conditions for convergence and asymptotic or exponential stability of a stochastic discrete-time system, under which the constructed Lyapunov fun…
An asynchronous, forward-backward, distributed generalized Nash equilibrium seeking algorithm
Carlo Cenedese, Giuseppe Belgioioso, Sergio Grammatico +1
In this paper, we propose an asynchronous distributed algorithm for the computation of generalized Nash equilibria in noncooperative games, where the players interact via an undire…
Design of Privacy-Preserving Dynamic Controllers
Yu Kawano, Ming Cao
As a quantitative criterion for privacy of "mechanisms" in the form of data-generating processes, the concept of differential privacy was first proposed in computer science and has…