Globally optimal distributed cooperative control for general linear multi-agent systems

Finite‐time distributed global optimal control for linear time‐varying multi‐agent systems: a dynamic output‐feedback perspective

“…) Corollary 2: Consider the overall dynamics of MASs (6) with overall control input (14). Let a digraph have a spanning tree.…”

“…In [13], state synchronisation of MASs with disturbances with both LQR and H ∞ approaches was investigated where globally optimal control was given. In [14], using the inverse optimal approach, optimal partial stabilisation for LTI MASs with undirected fixed networks was developed.…”

“…The authors in [11][12][13] considered a special class of graphs for the globally optimal problem of MASs in which the Laplacian matrix required to be simple matrices. The results reported in [14] only applies for undirected graphs. To fix this restriction, we have utilised the concept of similar matrices.…”

Cooperative optimal preview tracking for linear descriptor multi-agent systems

“…In [10], the authors brought together cooperative control, game theory and reinforcement learning to formulate the notion of differential graphical games for multi-agent systems, and designed a policy iteration algorithm on the basis of local information. More recently, the problem proposed in [9] was considered in [11], and the approach of [10] was extended to address distributed optimal tracking problems [12,13].…”

An Inverse Optimal Problem for Multi-Agent Systems Based on Static Output Feedback Control

“…In [30], the inverse optimal approach was employed to design distributed consensus protocols that guarantee consensus and global optimality with respect to some quadratic performance indexes (convergence rate and damping rate) for identical linear systems on a directed graph. In [31], the inverse optimal approach was extended to solve the optimal partial stabilization for the general linear systems, where the input matrix can be not full column rank.…”