Adaptive pinning control: A review of the fully decentralized strategy and its extensions

Sampled‐data leader‐following consensus of second‐order nonlinear multiagent systems without velocity measurements

“…Remark 5. It can be seen that the practical leader-following consensus for multiagent system (1)-(2) can be achieved under sampled-data protocol (28) if the sampling period T satisfies (46). When T = 0, the proposed result degenerates to the continuous case.…”

“…In this section, we will develop a sufficient condition under which the practical leader-following consensus can be achieved via the sampled-data protocol (28).…”

“…For instance, in previous works, the leader‐following consensus problem for second‐order nonlinear multiagent systems has been investigated; in some other works, when the agent has a higher‐order nonlinear dynamics, corresponding results were given. On the other hand, there are many results focusing on the pinning control of complex networks, which is closely related to the leader‐following consensus of multiagent systems …”

“…On the other hand, there are many results focusing on the pinning control of complex networks, which is closely related to the leader-following consensus of multiagent systems. [25][26][27][28][29][30] In practical engineering systems, it is usually difficult or even impossible to obtain velocity measurements of agents; therefore, it is of great significance to consider the consensus protocol design without velocity measurements. 19,[31][32][33][34][35] In the works of Zhang and Yang 31 and Zhao et al, 32 the finite-time consensus for second-order multiagent systems without velocity measurements was studied.…”

Finite‐time stabilization of complex dynamical networks via optimal control

“…E-mail: xqwu@whu.edu.cn example, Yu et al investigated synchronization of general complex networks via pinning control [3,5], Li et al proposed some effective methods to pin a complex dynamical network to its equilibrium [16], Chen et al controlled complex networks by pinning a single controller [17], Zhao et al studied pinning complex networks by selecting an optimal combination between the number of pinned nodes and feedback gains [12], and Turci et al presented many advances on pinning control of complex networks [18]. Very recently, Ning et al investigated generalized synchronization in two-layer complex networks with unidirectional inter-layer couplings via pinning control based on the auxiliary-system approach [19].…”