Adaptive second-order consensus of multi-agent systems with heterogeneous nonlinear dynamics and time-varying delays

Group Consensus of Second-Order Multi-agent Networks with Multiple Time Delays

“…Up to now, it has attracted increasing attention of researchers in different fields. So far, many related research works have been successively reported, which can be seen in [1][2][3][4][5][6] and the references therein.…”

Second-Order Consensus of Multi-agent Systems via Periodically Intermittent Pinning Control

“…The coordinated control of multi-agent systems, including synchronization [6,11,22,25], flocking [15,22], consensus [7,10,12,14,[20][21][22][23]31] and containment [17][18][19], has become an active research field in recent decades. As claimed and demonstrated in [1][2][3][4][5]8,9,13,18,26,29,30], consensus aimed at guiding the states of all agents to achieve a common value is one of the fundamental problems in the coordinated control of multi-agent systems and has attracted considerable attention, ranging from first-order systems [7,23] to second-order systems [10,12,14,20,31] and even high-order ones [21].…”

“…As claimed and demonstrated in [1][2][3][4][5]8,9,13,18,26,29,30], consensus aimed at guiding the states of all agents to achieve a common value is one of the fundamental problems in the coordinated control of multi-agent systems and has attracted considerable attention, ranging from first-order systems [7,23] to second-order systems [10,12,14,20,31] and even high-order ones [21]. For example, the authors in [23] investigated the consensus of first-order multiagent systems subject to input saturation, whereas references [12,20,31] focused on the consensus of second-order multi-agent systems with nonlinear intrinsic dynamics. Because it is impractical to directly control every agent in systems with a large number of agents, pinning control, which drives all agents to a desired state by directly exerting controllers on a small fraction of agents, has been employed.…”

“…With the aid of pinning control, Su et al provided careful analysis on the flocking of multi-agent systems with a virtual leader in [15,22]. Additionally, the consensus tracking of multi-agent systems with first-and second-order dynamics was addressed in [7,23] and [12,20,31], respectively. In 2010, Yu et al studied the second-order consensus with nonlinear dynamics by defining the generalized algebraic connectivity in [31].…”

“…To date, several efforts have been devoted to the consensus of multi-agent systems by presupposing that communication is continuous, such as references [7,12,14,17,25]. Therein, the controllers kept working continuously, regardless of whether the topology was fixed [12,14] or switching [7,17,25].…”