Finite-time consensus of second-order leader-following multi-agent systems without velocity measurements

Reaching a nonlinear consensus: Polynomial stochastic operators

“…for some 0 n ∈ N then the sequence defined by (9) converges to the center x + = P where x P is the square doubly stochastic matrix given by (6). We want to show that…”

“…Since that time, the consensus which is the most ubiquitous phenomenon of multi-agent systems becomes popular in various scientific communities, such as biology, physics, control engineering and social science [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The dynamics of opinion sharing, competing, and the emergence of consensus have became an active topic of the recent research in statistical and nonlinear physics [21].…”

“…However, many systems, such as the well-known Kuramoto oscillator, exhibit nonlinear, locally passive dynamics as discussed in [44]. The consensus problem in some nonlinear protocols were studied in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In this paper, we are aiming to provide some nonlinear protocols of multi-agent systems and to study the consensus problem for the provided nonlinear protocols.…”

L 2 – L ∞ containment control of multi‐agent systems with Markovian switching topologies and non‐uniform time‐varying delays

“…Let the transition probability matrix be = −0.6 0.6 0.5 −0.5 . In this example, we consider the case of networks with non-uniform time-varying delays and assume that τ 12 …”

Containment control of second‐order discrete‐time multi‐agent systems with Markovian missing data

“…When there is a leader in the multi-agent systems, the consensus problem becomes a distributed tracking problem or a leader-following consensus problem, which has been studied extensively in [6][7][8][9][10][11][12][13][14]. For the case that there exist multiple leaders, the consensus problem becomes a containment control problem.…”