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This article researches the bipartite consensus for discrete-time second-order multi-agent systems on matrix-weighted signed networks, which can describe the inter-dependencies of multidimensional states among states. So as to save limited communication resources, based on the matrix-weighted combined measurements of the position and velocity states, a matrix-weighted event-triggered control algorithm is designed. With the help of the stability theory, variable transformation and the inequality technique, the bipartite consensus conditions which are based on coupling gains, discrete interval, the parameters in the event-triggered rule and communication topology are obtained. Furthermore, the conditions to avoid the controller updating in each discrete-time are supplied. At last, a simulation example is offered to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]

In this paper the finite-time consensus tracking problem for multi-agent systems with double-integrator dynamics is investigated under directed interaction topology by a structural approach. One continuous structural control strategy with only position measurements, which is based on estimated parameters and a finite-time separation principle, is proposed in order to solve the finite-time consensus tracking problem in a distributed way, i.e., by using the information of each agent׳s neighbors and itself, where control input of the leader, i.e., acceleration, is general instead of zero. Note that neither velocity measurements nor the acceleration of the leader is utilized by the structural control strategy, which provides a class of continuous control protocols for the finite-time consensus tracking problem. Furthermore, two specific control protocols are provided for directed and undirected topologies, respectively, which corroborate the feasibility of the structural control strategy. Finally, one numerical example is presented to demonstrate the efficiency of the theoretical results. [ABSTRACT FROM AUTHOR]

Controllability is a fundamental issue concerning control of multi-agent networks and a very important research topic in the modeling, analysis and coordination control of multi-agent systems. Group controllability problem is a further extension of the controllability problem of the general multi-agent systems, which mainly studies the cooperation and control of multi-agent systems with multiple sub-groups or multiple intelligence clusters. Comparing with the controllability of the general multi-agent systems, the group controllability is not only to consider the information interaction among the groups, but also to consider the information interaction between different groups, which makes the system reflect the effect of a whole and also the internal structure of the sub-groups. This paper addresses the group controllability problems of discrete-time multi-agent systems with time-delay, in which both switching topology and fixed topology are considered. This paper also proposes the general definition of the group controllability, as well as establishes group controllability criteria from the algebraic and graphical perspectives. Numerical examples and simulations are proposed to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]