Leader–Follower Flocking for Discrete-Time Cucker–Smale Models With Lossy Links and General Weight Functions

Shao, Jinliang; Zheng, Wei Xing; Shi, Lei; Cheng, Yuhua

doi:10.1109/tac.2020.3046695

Cited by 40 publications

(26 citation statements)

References 27 publications

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“…In our experiments, we investigate problem (20) in two dimensions by considering a system composed of nine agents and one leader. As a result, the state variables' total nx � 20, while the control variables' total nc � 1.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…and F(x, u) represents the dynamics of the transformed delayed CS systems. Further, we discuss the first-order optimality conditions for optimal control problem (20). For this purpose, the delayed system is transformed to nondelayed system by using variables…”

Section: Complexitymentioning

confidence: 99%

“…ere exist Lagrange multipliers p ∈ W 1,∞ ([0, T], R nx ) corresponding to the optimization constraint equation of problem (20). Moreover, the adjoint p satisfies the following equation:…”

Section: Assumptionmentioning

confidence: 99%

“…e numerical solution of problems (20) representing as the considered optimality systems (25) will be shown and discussed in the next section.…”

Section: Assumptionmentioning

confidence: 99%

“…From the perspective of controllability, the hierarchical leadership concept provides the aggregation states of the system and some forms of group patterns for longtime behavior. e literature on control problems in these systems has recently been documented in [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays

Himakalasa

Wongkaew

2021

Complexity

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The Cucker and Smale model is a well-known flocking model that describes the emergence of flocks based on alignment. The first part focuses on investigating this model, including the effect of time delay and the presence of a leader. Furthermore, the control function is inserted into the dynamics of a leader to drive a group of agents to target. In the second part of this work, leadership-based optimal control is investigated. Moreover, the existence of the first-order optimality conditions for a delayed optimal control problem is discussed. Furthermore, the Runge–Kutta discretization method and the nonlinear conjugate gradient method are employed to solve the discrete optimality system. Finally, the capacity of the proposed control approach to drive a group of agents to reach the desired places or track the trajectory is demonstrated by numerical experiment results.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Complexitymentioning

confidence: 99%

Section: Assumptionmentioning

confidence: 99%

“…e numerical solution of problems (20) representing as the considered optimality systems (25) will be shown and discussed in the next section.…”

Section: Assumptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays

Himakalasa

Wongkaew

2021

Complexity

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Further analysis for consensus of hybrid multiagent systems: A unified framework

Zhao

Zheng

Liu

et al. 2021

Intl J Robust & Nonlinear

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Hybrid multiagent systems exist widely in real world and have been applied in many engineering fields. In this article, we consider the consensus problem for the hybrid multiagent system consisting of continuous‐time and discrete‐time dynamic agents. Different from the previous works, in this article, the interactions between different agents no longer only occur at the sampling time, but continuous‐time dynamic agents can interact with their continuous‐time dynamic neighbors in real time. By using graph theory and differential mean value theorem of matrix function, a consensus criterion is obtained for the hybrid multiagent system. A unified framework is also established for the consensus of continuous‐time and discrete‐time multiagent systems. Finally, a simulation example is given to illustrate the validity of our protocol.

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Containment control of hybrid multi‐agent systems

Chen

Zhao

Zheng

et al. 2021

Intl J Robust & Nonlinear

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In this article, the containment control problem is studied for hybrid multi-agent systems (MASs), which is comprised of continuous-time and discrete-time dynamic agents. For first-order hybrid MASs, two effective distributed protocols are designed when followers have continuous-time dynamics, and one distributed protocol is designed when followers have discrete-time dynamics. Meanwhile, for second-order hybrid MASs, we also propose three kinds of distributed protocols to solve the containment control. By utilizing stability theory and system transformation method, some criteria are derived for solving the containment control problem of hybrid MASs. Simulation examples are provided to show the efficiency of the theoretical results.

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Leader–Follower Flocking for Discrete-Time Cucker–Smale Models With Lossy Links and General Weight Functions

Cited by 40 publications

References 27 publications

Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays

Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays

Further analysis for consensus of hybrid multiagent systems: A unified framework

Containment control of hybrid multi‐agent systems

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