Impacts of time delay on flocking dynamics of a two-agent flock model

Wang, Xiao; Wang, Lin; Wu, Jianhong

doi:10.1016/j.cnsns.2018.10.017

Cited by 33 publications

(14 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Haskovec and Markou 28 generalized the results of Erban et al 27 and established some stability estimates for the Cucker-Smale delayed flow to obtain the uniform bound of the particle group. The communication time-delay effect on the emergent dynamics of thermodynamic Cucker-Smale (TCS) ensemble with temperature as an internal state were studied in Dong et al 29,30 For other flocking results for delay systems, see other studies 28,[31][32][33][34] and the references therein.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Emergence of time‐asymptotic flocking for a general Cucker–Smale‐type model with distributed time delays

Liu

Wang

2020

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

In this paper, we analyze the asymptotic flocking behavior for a Cucker–Smale‐type model with a disturbed delayed coupling, where delays are information processing and reactions of individuals. By constructing a new energy functional combined with L2‐analysis, we obtain the uniform bound of particle velocities, and then by establishing a system of dissipative differential inequalities together with L∞‐analysis, we prove the existence of asymptotic flocking solutions when the maximum value of time delays is sufficiently small.

show abstract

Section: Introduction and Main Resultsmentioning

confidence: 99%

Emergence of time‐asymptotic flocking for a general Cucker–Smale‐type model with distributed time delays

Liu

Wang

2020

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, some impressive results of flocking have been obtained for second-order multi-agent systems, such as the communication function with time delay [36], the straight line formation [13], flocking with deterministic or stochastic additional forces [15], [29], flocking with leaders [19] and references therein. The other newest developments are captured in [6], [18], [34], [37].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Leader-Following Flocking for Nonlinear Second-Order Multi-Agent Systems

Liu

2020

IEEE Access

View full text Add to dashboard Cite

This work focuses on the fixed-time leader-following flocking for multi-agent systems. Different from the previous continuous inherent dynamic f (x i , v i , t) for agent i, a new nonlinear discontinuous one is firstly proposed in this paper. Employing non-smooth techniques, graph theory and fixed-time stability theory, the fixed-time leader-following flocking is achieved. Moreover, an upper bound of the settling time is independent of initial states. In addition, two illustrative examples are given to verify the effectiveness of the theoretical results. INDEX TERMS Fixed-time flocking, multi-agent system, discontinuous.

show abstract

“…e Cucker-Smale model was extensively studied, see, for example, time delay [11][12][13][14][15], pattern formation [16,17], and hierarchical structure [14,[18][19][20][21]. However, the flocking phenomenon described in the most previous works is an asymptotic behavior without considered to collision avoidance behavior.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model

Nie

Duan

2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Multiagent systems are used in artificial intelligence, control theory, and social sciences. In this article, we studied a Cucker–Smale model with a continuous non-Lipschitz protocol. The methodology presented in the current paper is based on the explicit construction of a Lyapunov functional. By using the fixed-time control technology, we show that the flocking can occur in fixed-time and collision avoiding when a singular communication function with a weighted sum of sign functions of the relative velocities among agents, and we can obtain the estimation of the converging time which is independent of the initial states of agents. Theoretical results are supported by numerical simulations.

show abstract

Impacts of time delay on flocking dynamics of a two-agent flock model

Cited by 33 publications

References 27 publications

Emergence of time‐asymptotic flocking for a general Cucker–Smale‐type model with distributed time delays

Emergence of time‐asymptotic flocking for a general Cucker–Smale‐type model with distributed time delays

Fixed-Time Leader-Following Flocking for Nonlinear Second-Order Multi-Agent Systems

Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model

Contact Info

Product

Resources

About