<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This paper presents some low-dimensional pinning criteria for global synchronization of both directed and undirected complex networks, proposes specifically schemes to select pinned nodes by investigating the relationship among synchronization, network topology, coupling strength. The answers challenging questions in control networks: 1) what sufficient conditions can guarantee asymptotic...

This brief proposes a unified theoretical framework to investigate the finite/fixed-time synchronization of complex networks with stochastic disturbances. By designing common pinning controller different ranges power parameters, both goals finite-time and fixed-time in probability for network topology containing spanning trees can be achieved. Moveover, help stability theory, two types explicit expressions finite/fixed (dependent/independent on initial values) settling times are calculated...

This paper considers the leader-following consensus problem for multiagent systems with inherent nonlinear dynamics. Some M-matrix strategies are developed to address several challenging issues in pinning control of by using algebraic graph theory and properties nonnegative matrices. It is shown that second-order a system can be reached if virtual leader has directed path every follower derived quantity greater than positive threshold. In particular, this analytically proves may easier...

This paper is concerned with the finite-time synchronization (FTS) issue of switched coupled neural networks discontinuous or continuous activations. Based on framework nonsmooth analysis, some controllers are designed to force synchronize an isolated network. Some sufficient conditions derived ensure FTS by utilizing well-known stability theorem for nonlinear systems. Compared previous literatures, such objective will be realized when activations and both discontinuous. The obtained results...

This paper is concerned with the cluster synchronization in finite time for a class of complex networks nonlinear coupling strengths and probabilistic delays. The consist several clusters nonidentical discontinuous systems suffered from uncertain bounded external disturbance. Based on Takagi-Sugeno (T-S) fuzzy interpolation approach, we first obtain set T-S constant strengths. By developing some novel Lyapunov functionals using concept Filippov solution, new analytical techniques are...

The asymptotic synchronization of coupled reaction-diffusion neural networks with proportional delay and Markovian switching topologies is considered in this brief where the diffusion space does not need to contain origin. main objectives are save communication resources reduce conservativeness obtained criteria, which carried out from following two aspects: 1) mode-dependent quantized control technique designed cost channels 2) Wirtinger inequality utilized deal terms a matrix form...

This paper presents a systematic framework to analyze the global pinning-controllability of general complex networks with or without time-delay based on properties M-matrices and directed spanning trees. Some stability criteria are established guarantee that network can be globally asymptotically pinned homogenous state. By partitioning interaction diagraph into minimum number components, selective pinning scheme for arbitrary topology is proposed determine locations nodes. In particular,...

This paper considers the position-based consensus in a network of agents with double-integrator dynamics and directed topology. Two types distributed observer algorithms are proposed to solve problem by utilizing continuous intermittent position measurements, respectively, where each does not interact any other observers. For case communication between agents, some convergence conditions derived for reaching single constant delay or multiple time-varying delays on basis eigenvalue analysis...

This paper considers both semi-global and global containment control for a second-order multi-agent system that is composed by network of identical harmonic oscillators or double integrators with multiple leaders input saturation. A distributed low gain feedback algorithm proposed to solve the problem whose topology directed initial condition taken from any priori given bounded set. In particular, using parametric Lyapunov equation approach, M-matrix properties algebraic graph theory, an...

Summary This paper considers the bipartite leaderless and leader‐following synchronization in a network of coupled Lur'e systems with sector‐condition node dynamics signed digraph topology, where interaction consists both positive negative communication links. Continuous‐time sampled‐data control algorithms are, respectively, proposed to solve problems for network. Under some assumptions on structure functions, conditions are established by using coordinate transform, linear matrix...

SUMMARY This paper investigates the pinning‐controlled synchronization of a general complex dynamical network with hybrid coupling, which includes constant discrete‐delay coupling and distributed‐delay coupling. Furthermore, can be composed coupled identical nonlinear oscillators or without internal time‐delay. To more consistent realistic networks, time‐delay, discrete time‐delay distributed different from each other, inner matrices are not necessarily to diagonal, configuration required...

This paper proposes two distributed synchronization protocols for a network of continuous-time coupled harmonic oscillators by utilizing current and past relative sampled position data, respectively. Some necessary sufficient conditions in terms coupling strength sampling period are established to achieve synchronization. By designing the based on nonzero eigenvalues Laplacian matrix network, it is shown that can be reached if only taken from sequence disjoint open intervals. In particular,...

This paper considers the distributed control problem for a network of harmonic oscillator systems with delayed velocity coupling and signed graph topology containing directed spanning tree. In sharp contrast to dynamical behaviors traditional coupled oscillators over unsigned graphs, it is found that considered can exhibit some more interesting behaviors, including bipartite synchronization, stabilization, convergent behavior. First, when underlying structurally balanced, necessary...

This paper studies the synchronization problem for a network of coupled harmonic oscillators by proposing distributed control algorithm based only on delayed position states, i.e., outdated states stored in memory. The coupling strength is conveniently designed according to absolute values and principal arguments nonzero eigenvalues Laplacian matrix. By analyzing finite number stability switches with respect variation time delay, some necessary sufficient conditions are derived reaching...