Finite‐Time Scaled Consensus in Discrete‐Time Networks of Agents

Abstract

This brief paper deals with finite-time scaled consensus to assigned portions using linear iterations. If the network topology is modeled by a connected bidirectional network, we show that scaled consensus can always be reached in a finite time using state-transition matrices consistent with the network structure. The final scaled consensus states are also identified. A numerical example is given to illustrate the theoretical result.

The Impact of Coupling Function on Finite‐Time Synchronization Dynamics of Multi‐Weighted Complex Networks with Switching Topology

“…Compared with the nonfinite-time control, finite-time control can improve robust performance and antidisturbance performance of systems [2]. Therefore, recently, besides finite-time synchronization control of complex networks, finite-time scaled consensus control of multiagent systems has been paid close attention [48,49]. In [48,49], based on linear iterations and graph theory, Shang investigated finite-time scaled consensus control about discretetime multi-agent system.…”

“…Therefore, recently, besides finite-time synchronization control of complex networks, finite-time scaled consensus control of multiagent systems has been paid close attention [48,49]. In [48,49], based on linear iterations and graph theory, Shang investigated finite-time scaled consensus control about discretetime multi-agent system. It is seen that [48,49] and this paper consider finite-time control problems about coupling systems.…”

“…In [48,49], based on linear iterations and graph theory, Shang investigated finite-time scaled consensus control about discretetime multi-agent system. It is seen that [48,49] and this paper consider finite-time control problems about coupling systems. Moreover, it can also be found that [48,49] addressed scaled consensus of linear coupling discrete-time multi-agent system within finite steps and the derived finite time in [48,49] is a positive integer.…”

“…It is seen that [48,49] and this paper consider finite-time control problems about coupling systems. Moreover, it can also be found that [48,49] addressed scaled consensus of linear coupling discrete-time multi-agent system within finite steps and the derived finite time in [48,49] is a positive integer. In this paper, synchronization of NCMWCNs within finite time * is proposed and the obtained finite time * is a real number and greater than zero.…”

Robust distributed consensus tracking control for high‐order uncertain nonlinear MASs with directed topologies

“…In the recent years, because of the limitation of communication among MASs, the distributed consensus problem which has less communication cost and higher robustness has attracted lots of attention [10][11][12][13]. A lot of existing works about the distributed consensus problem were based on leaderless MASs [14][15][16][17][18][19][20]. For leaderless MASs, the final consensus state is usually dependent on the initial states such as the average of initial states.…”