Synchronization of stochastic complex dynamical networks under self‐triggered control

Summary This paper is devoted to investigating the exponential synchronization of coupled Lur'e dynamical networks with multiple time‐varying delays and stochastic disturbance. The problem studied in this paper could be regarded as a kind of leader‐following synchronization issue. As the networks may suffer from certain impulsive disturbance, an effective distributed impulsive control protocol is proposed to synchronize the stochastic Lur'e dynamical networks. According to the comparison principle, the average impulsive interval, and the extended formula for the variation of parameters, sufficient conditions are derived for successful achievement of the network synchronization with consideration to different functions of impulsive effects. Furthermore, the exponential convergence rate is obtained based on the impulsive solution equation. In addition, finally, some numerical simulations are given to illustrate the validity of the control scheme and the theoretical analysis.

“…directly leads to the exponential stability of the trivial solution of the stochastic impulsive system (8).…”

Section: The Continuous and Concave Functionψmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed impulsive synchronization of Lur'e dynamical networks via parameter variation methods

Tang

Park

Zheng

2017

“…Complex networks (CNs) are made up of a set of individual nodes connected in terms of certain topological rules, which can describe various kinds of real‐world networks such as social systems, scientific citation web, cyber‐physical systems, ecosystems, and neural networks . In order to better understand the CNs and pursue some desired performance specifications, it is necessary to obtain the state information of all network nodes.…”

Section: Introductionmentioning

confidence: 99%

H_∞ finite‐horizon filtering for complex networks with state saturations: The weighted try‐once‐discard protocol

Wang

Shen

et al. 2019

Summary This paper addresses the finite‐horizon H∞ filtering problem for a kind of discrete state‐saturated time‐varying complex networks subjected to the weighted try‐once‐discard (WTOD) protocol. Under the WTOD protocol, only the measurement signal from one sensor node is allowed to be transmitted to the filter at each time point, where such a node is selected based on a certain quadratic selection principle. The main purpose of this paper is to design an H∞ filter that guarantees the disturbance attenuation level on a given finite time‐horizon for the underlying complex network subject to both state saturations and WTOD protocols. By using the convex hull approach, sufficient conditions are first obtained to ensure the existence for the desired filter to achieve the H∞ performance specification by means of a few recursive matrix inequalities. Then, based on the obtained results, the filter parameters are designed, which cope effectively with both state saturations and communication protocols. Finally, a numerical simulation is employed to demonstrate the validity of the developed filter algorithm.

“…In NCSs, the concept of allied limited bandwidth frequently generates data transmission delays, disorder, and data packet dropouts, which degrade the system performance and also complicate the stabilization of the plant. [9][10][11][12][13] In the last decade, numerous approaches had been developed to tackle with these channel-delay problems, for example, dissipative control design, 14,15 the identification, filtering, and estimation, [16][17][18][19][20] output feedback control, [21][22][23][24][25][26] NCS, [27][28][29][30][31][32] and multiagent system. [33][34][35] Moreover, numerous work is based on a time-triggered mechanism, which can deteriorate the performance of the utilization of limited channel capacity.…”

Section: Introductionmentioning

confidence: 99%

Reliable control design for composite‐driven scheme based on delay networked T‐S fuzzy system

Aslam

Dai

Hou

et al. 2019

102

Summary This paper is focused on reliable controller design for a composite‐driven scheme of networked control systems via Takagi‐Sugeno fuzzy model with probabilistic actuator fault under time‐varying delay. The proposed scheme is distinguished from the other schemes as mentioned in this paper. Aims of this article are to solve the control problem by considering the H∞, dissipative, and L2−L∞ constraints in a unified way. Firstly, to improve the efficient utilization of bandwidth, the adaptive composite‐driven scheme is introduced. In such a scenario, the channel transmission mechanism can be adjusted between adaptive event‐triggered generator scheme and time‐driven scheme. In this study, the threshold is dependent on a new adaptive law, which can be obtained online rather than a predefined constant. With a constant threshold, it is difficult to get the variation of the system. Secondly, a novel fuzzy Lyapunov‐Krasovskii functional is constructed to design the fuzzy controller, and delay‐dependent conditions for stability and performance analysis of the control system are obtained. Then, LMI‐based conditions for the existence of the desired fuzzy controller are presented. Finally, an inverted pendulum that is controlled through the channel is provided to illustrate the effectiveness of the proposed method.