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This technical note is aimed at studying the joint impacts of the system dynamic structure and the communication topology on the synchronization of multi-linear positive systems. Through rigorous analysis, necessary and sufficient conditions are given to guarantee the coupled systems achieving positive synchronization under the distributed control protocol, and the gain matrix designed is related...
This paper considers the pinning synchronization problem for complex networks with directed topologies by utilizing the output state information of network nodes, where the node dynamics satisfies the Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some sufficient conditions are derived to ensure that the network can be pinned to the trajectory of the leader node. Some...
Over the last two decades, synchronization, as a typical collective behavior in complex networks, has received an increasing attention. To reveal the inherent mechanism of synchronization in complex networks with delayed nodes, this paper aims at developing a novel synchronization approach by using the PD control strategy. Based on a classical network model, we investigate the synchronization of complex...
In this paper, the quasi-synchronization of a class of nonlinearly-coupled complex networks is studied. Different from the previous works, a distinguishing characteristic of this work is that the coupling matrix of nonlinear coupled networks is asymmetrical. The effect of time-varying delay in dynamical networks is also considered. By utilizing the aperiodically intermittent pinning control technique,...
This paper is concerned with the semi-global output synchronization problem of a heterogeneous network under event-triggered control mechanism. A distributed event-triggered scheme is proposed in this paper. The Zeno behavior can also be excluded in the designed scheme. By adopting the low-gain technique, it is shown that the input saturation nonlinearity can be avoided if the parameter of the parameterized...
This paper proposes a filter-based distributed protocol to realize time synchronization under time-varying clock parameters. The proposed protocol is derived from a first-order controller and is fully distributed, meaning that by relying merely on its local clock readings and reading announcements from its neighbouring sensor nodes, each node in WSNs can dynamically update its virtual clock and bound...
This paper considers the optimal energy generation problem for hierarchical system, which consists of multi-cluster power system. In particular, consensus-based distributed hierarchical coordination algorithm is proposed to meet the power generation/demand balance. By using Lagrangian-based approach, we show that the optimization problem for the hierarchical system can be separated into each layer's...
Projective cluster synchronization of dynamical networks is considered via pinning impulsive control. The projective cluster synchronization, which is try to make nodes of response network realize cluster synchronization with the control about the driven network. A sufficient condition is given to solve the projective cluster synchronization problem based on Lyapunov theory. Finally, the effectiveness...
In this paper, we study the iterative learning control (ILC) method for nonlinear multi-agent system (MAS) to reach finite-time synchronization under the directed communication graph. We propose the distributed D — type iterative learning control for system whose nonlinear function satisfies the global lipschitz continuous when the graph has a spinning tree. By choosing the parameter γ ∊ [0,1], the...
The leader-following consensus problem for linear discrete-time multi-agent systems subject to static networks has been studied in the literature using H∞ Riccati inequality design and H2 Riccati equation design, respectively. However, these methods involve some less tractable conditions and need to solve some type of Riccati equation or inequality. In this paper, we further study the leader-following...
In this paper, an approach is proposed to design synchronization protocols for a network of second-order multi-agents. We prove a series of sufficient conditions for different asymptotic coordination dynamics including synchronization, consensus and stability. These conditions are rather general, which can include some existing results as corollaries. In addition, we can employ them to construct novel...
The problems of pinning synchronization and optimization for complex dynamical networks with sign inner-coupling configurations are investigated in this paper. Due to the negative interactions between the node variables, some new ragged synchronized regions are discovered for the chaotic Chen system. A modified optimization algorithm of weight assignment in arbitrary networks subjected to pinning...
This paper investigates causal consensus problem of a class of singular (descriptor) multi-agent systems with network delays, fixed topology. For the studied systems, different from traditional open-loop prediction approach, a pseudo predictor based on closed-loop artificial system is proposed to predict the future state. For the time-varying delay, a data-receiving policy is proposed to turn it into...
In this paper we consider the output synchronization problem for linear high-order heterogeneous multi-agent systems with a directed communication graph. A distributed event-triggered control protocol is provided to solve the problem. The protocol is applicable to different agents, even with different dimensions. It is worth mentioning that the protocol only requires each agent to send the output...
This paper derives conditions on the agents for the existence of a protocol which achieves synchronization of homogeneous multi-agent systems (MAS) with partial-state coupling, where the communication network is directed and weighted. These solvability conditions are necessary and sufficient for single input agents and sufficient for multi input agents. The solvability conditions reveal that the synchronization...
We present a distributed nonlinear control law for synchronization of identical agents on one-parameter Lie subgroups. If the agents are initialized sufficiently close to one another, then synchronization is achieved exponentially fast. The proof does not use Jacobian linearization, instead the local nature of our result stems from our use of exponential coordinates on a matrix Lie group.
This paper provides solvability conditions for state synchronization with homogeneous discrete-time multi-agent systems (MAS) with a directed and weighted communication network under full-state coupling. We assume only a lower bound for the second eigenvalue of the Laplacian matrices associated with the communication network is known. For the rest the weighted, directed graph is completely arbitrary...
The energy required for manipulation of a double-integrator network model via local external actuation is examined. Some previous results on the controllability Gramian, which specifies the required energy, are briefly reviewed. Three new results are then developed. First, the energy required for manipulation along the synchronization manifold over an arbitrary horizon is characterized. Second, several...
In this paper, robustness of PD-like distributive consensus of multiple agents with double-integrator dynamics communicating over a network prone to link failures is discussed. This paper proposes a novel Lyapunov function for stability analysis of double-integrator distributive consensus for a connected topology. In case of non-connected topology the growth of disagreement vector is analyzed using...
This paper studies state synchronization of homogeneous continuous-time multi-agent systems (MAS) with time-varying communication topology in the presence of time-varying input delay. An upper bound for delay tolerance is obtained via a Lyapunov-Krasovskii functional-based method. This upper bound for the delay only depends on the agent dynamics and some rough information about the Laplacian matrix...
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