Abstract
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.
Highlights
IntroductionMany researchers have paid attention to cooperative control of multiagent systems
In recent years, many researchers have paid attention to cooperative control of multiagent systems
This paper investigates couple-group consensus problems for multiagent first-order and second-order systems
Summary
Many researchers have paid attention to cooperative control of multiagent systems. The consensus problem for second-order dynamics via eventtriggered control was addressed in [17], where a centralized event-triggered strategy was designed, and the bound of interevent times was ensured. In [38], the group consensus problem of second-order multiagent systems with time-delays was studied. Motivated by the above discussion, the couple-group consensus problem via time-dependent event-triggered is considered in this paper. An important factor that may exist in the communication channel is considered; i.e., communication delays are considered when the event-triggered based protocols are proposed; (2) the time-dependent event-triggered protocol is introduced to deal with energy consumption and communication constraints; (3) we discuss the distributed eventbased couple-group consensus in presence of both positive and negative adjacent weights. Event-based couple-group consensus problems for first-order dynamics and second-order dynamics are presented in Sections 3 and 4, respectively. In×n and 0n×n are n−dimensional identity matrix and n−dimensional zero matrix, respectively. ‖⋅‖ denotes Euclidean norm, and ∗ in this paper stands for a term of block that is induced by symmetry
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