Distributed finite-time tracking control for multi-agent systems: An observer-based approach

Finite-time containment control without velocity and acceleration measurements

“…Remark 1 Compared with the existing observer-based protocols designed in [5] and [35], which require the relative input information,…”

“…It is easy to see that (35) holds if and only if (36) and l 2 > 0. Note that (36) is satisfied if and only if…”

“…It is assumed that a N +i (t) ∞ ≤ c < ∞. It is worth mentioning that, compare with existing work in [35], the dynamics of the leader with a N +i (t), i = 1, . .…”

Decentralized finite-time adaptive consensus of multiagent systems with fixed and switching network topologies

“…Compared with conventional asymptotic consensus, finite-time consensus reveals numerous advantages, for instance, faster response, higher accuracy, and better robustness and anti-disturbance performance against uncertainties and so forth. On account of these superiorities, several kinds of finite-time consensus protocols have been proposed for firstorder [15,16], second-order [17,18] or high-order [19] multiagent systems.…”

Leader–follower guaranteed-cost consensualization for high-order linear swarm systems with switching topologies

“…In [38], second-order swarm systems with leader-follower structures and time-varying delays were dealt with. Zhao et al [39] studied leader-follower consensus problems for second-order swarm systems with fixed topologies, where nonlinear consensus protocols were used to realize the finite-time consensus control. Based on the Riccati inequality, Ni and Cheng [40] investigated leader-follower consensualization problems for high-order linear swarm systems with both fixed and switching topologies, where an interesting approach was proposed to label the eigenvalues of jointly connected interaction topologies.…”