Couple-Group Consensus of Cooperative-Competitive Heterogeneous Multiagent Systems: A Fully Distributed Event-Triggered and Pinning Control Method

This paper studies the group consensus problem in networks of multi-agent systems, in which the nonlinear dynamics of all agents are unknown and nonidentical. We assume that the unknown dynamics are linearly parameterized. Adaptive control method is adopted in the algorithm design. A novel algorithm is proposed for the multi-agent systems to reach group consensus via pinning control strategies, which only rely on the relative position information between neighboring agents. The stability and parameter convergence analysis are done based on Lyapunov theory, Barbalat's lemma, adaptive control theory and algebraic graph theory. Finally, a simulation example is given to validate our theoretical results.

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Couple-Group Consensus for Multiagent Systems via Time-Dependent Event-Triggered Control

Mathematical Problems in Engineering ◽

10.1155/2018/2947643 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Huiyang Liu ◽

Xiaoshuang Wang

Keyword(s):

Multiagent Systems ◽

Matrix Theory ◽

Time Dependent ◽

Communication Delays ◽

Group Consensus ◽

First Order ◽

Zeno Behavior ◽

The Matrix ◽

Second Order Systems ◽

Event Triggered

This paper investigates couple-group consensus problems for multiagent first-order and second-order systems. Several consensus protocols are proposed based on the time-dependent distributed event-triggered control. For the case of no communication delays, the time-dependent event-triggered strategies are applied to couple-group consensus problems. Based on the matrix theory, algebraic conditions for couple-group consensus are established. For the system with communication delays, based on event-triggered strategies, a Lyapunov-Krasovskii functional is constructed to prove the input-to-state stability of the systems. Moreover, Zeno behavior is excluded. Finally, numeral examples are given to illustrate the effectiveness of these results.

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Partial Component Consensus of Discrete-Time Multiagent Systems

Mathematical Problems in Engineering ◽

10.1155/2019/4725418 ◽

2019 ◽

Vol 2019 ◽

pp. 1-5

Author(s):

Wenjun Hu ◽

Gang Zhang ◽

Zhongjun Ma ◽

Binbin Wu

Keyword(s):

Multiagent Systems ◽

Discrete Time ◽

Matrix Theory ◽

Pinning Control ◽

Directed Network ◽

Strong Function ◽

Partial Stability ◽

Partial Component ◽

The Matrix ◽

Error System

The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.

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