Leader-following finite-time consensus for multi-agent systems with jointly-reachable leader

Multi‐consensus for second‐order multi‐agent systems based on sampled position information

“…The multi-agent system (3) with protocol(9) achieves multi-tracking consensus if and only ifρ(H ) < 1Proof: It is easy to obtain the conclusion by the stability theory of discrete-time systems.Theorem 3: Suppose that Assumption 1 is satisfied. The multi-tracking of multi-agent systems (3) is said to achieved under protocol (9) if and only if the gains α, β and sampling period h satisfy the following conditions: (see equation at the bottom of the page) where λ i (i = 1, .…”

Consensus problems for multi-agent systems with nonlinear algorithms

“…Moreover, authors in [8] extended the results under the fixed topology to that under switching topologies. In jointly connected topologies, nonlinear consensus algorithms for leader-following consensus problems for multi-agent systems were proposed in [9], where finite-time consensus conditions were given by applying LaSalle's invariance principle. Finite-time consensus problem was extended the results of the first-order multi-agent systems in [10] to that of the second-order multi-agent systems in [9], where the leader was jointly reachable under switching topologies.…”

“…In jointly connected topologies, nonlinear consensus algorithms for leader-following consensus problems for multi-agent systems were proposed in [9], where finite-time consensus conditions were given by applying LaSalle's invariance principle. Finite-time consensus problem was extended the results of the first-order multi-agent systems in [10] to that of the second-order multi-agent systems in [9], where the leader was jointly reachable under switching topologies. Based on algebraic Riccati equality and Lyapunov function, semi-global consensus problem for the high-order multi-agent system with input saturation was investigated in [11], where small gains were introduced.…”

Finite-time consensus of leader-follower multi-agent systems with fixed and switching topologies

“…Thus, it is necessary to study the network with switching and time-varying topologies. Sun et al [18] investigated the finite-time consensus problems of leader-follower multi-agent systems with jointly-reachable leader and switching jointlyreachable leader. Two kinds of finite-time consensus protocols were presented for first-order and second-order systems, respectively.…”