scholarly journals Fixed-Time Synchronization for Dynamical Complex Networks with Nonidentical Discontinuous Nodes

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Xiaoliang Qian ◽  
Qian Liu ◽  
Qingbo Li ◽  
Qi Yang ◽  
Yuanyuan Wu ◽  
...  
Keyword(s):  
Complex Networks ◽  
State Feedback ◽  
Time Synchronization ◽  
Fixed Time ◽  
Linear Matrix ◽  
Target Node ◽  
Chua Circuit ◽  
Control Scheme ◽  
Inequality Techniques ◽  
Dynamical Complex Networks

This article investigates the fixed-time synchronization issue for linearly coupled complex networks with discontinuous nonidentical nodes by employing state-feedback discontinuous controllers. Based on the fixed-time stability theorem and linear matrix inequality techniques, novel conditions are proposed for concerned complex networks, under which the fixed-time synchronization can be realized onto any target node by using a set of newly designed state-feedback discontinuous controllers. To some extent, this article extends and improves some existing results on the synchronization of complex networks. In the final numerical example section, the Chua circuit network is introduced to indicate the effectiveness of our method by showing its fixed-timely synchronization results with the proposed control scheme.

scholarly journals Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1610
Author(s):  
Mei Liu ◽  
Binglong Lu ◽  
Zhanfeng Li ◽  
Haijun Jiang ◽  
Cheng Hu
Keyword(s):  
Complex Networks ◽  
Control Parameter ◽  
Time Synchronization ◽  
Adaptive Controller ◽  
Fixed Time ◽  
Synchronization Control ◽  
Delayed Neural Networks ◽  
Synchronization Problem ◽  
Delayed Dynamical Networks ◽  
Dynamical Complex Networks

Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchronization time. In particular, we obtain some fixed-time synchronization criteria for a type of coupled delayed neural networks. Finally, the analysis and comparison of the proposed controllers are given to demonstrate the validness of the derived results from one numerical example.

Study on Fault-Tolerant Control Scheme for a Helicopter via Adaptive H∞ Control

2013 ◽  
Vol 455 ◽  
pp. 395-401 ◽  
Author(s):  
Xi Chen ◽  
Fu Yang Chen ◽  
Bin Jiang
Keyword(s):  
State Feedback ◽  
Fault Tolerant ◽  
Adaptive Method ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Flight Performance ◽  
Actuator Faults ◽  
Stabilization Problem ◽  
Control Scheme ◽  
Tolerant State

In this paper, the stabilization problem for the 3 Degree of Freedom (3-DOF) hovering system of Quadrotor with actuator faults is investigated. To handle the helicopter system, an H robust fault-tolerant state feedback control is proposed. In addition, an adaptive method is combined with fault-tolerant H control to improve the flight performance. A more practical actuator fault is built, and the model of the system is presented. The design operates in Linear Matrix Inequality (LMI) technique. Finally, the design was verified on both MATLAB and 3-DOF platform to exam the feasibility and stability of the method.

OPTIMAL GUARANTEED COST CONTROL OF UNCERTAIN STOCHASTIC COMPLEX DELAYED DYNAMICAL NETWORKS

2010 ◽  
Vol 10 (04) ◽  
pp. 577-590 ◽  
Author(s):  
SHUKAI LI ◽  
WANSHENG TANG ◽  
JIANXIONG ZHANG
Keyword(s):  
Complex Networks ◽  
State Feedback ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Feedback Controllers ◽  
Control Laws ◽  
Guaranteed Cost ◽  
Stochastic Complex Networks ◽  
Delayed Dynamical Networks

This paper investigates the optimal guaranteed cost control of synchronization for uncertain stochastic complex networks with time-varying delays. The aim is to design state-feedback controllers such that the complex networks are globally asymptotical mean-square synchronization, and meanwhile the optimal upper bound of cost function is guaranteed. Based on Lyapunov–Krasovskii stability theory and Itô differential rule, sufficient condition for the existence of the optimal guaranteed cost control laws is given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

Pinning synchronization control of complex networks with partial couplings

2020 ◽  
pp. 095965181989833
Author(s):  
Yanzhou Li ◽  
Yishan Liu ◽  
Yuanqing Wu ◽  
Shenghuang He
Keyword(s):  
Complex Networks ◽  
Linear Matrix ◽  
Sampled Data ◽  
Lower And Upper Bounds ◽  
Target Node ◽  
Decoupling Method ◽  
Synchronization Problem ◽  
Sampling Intervals ◽  
Wirtinger’S Inequality ◽  
Theoretical Results

In this article, the pinning synchronization problem of complex networks with a target node via sampled-data communications is considered. Due to partial couplings among the nodes in complex networks, a decoupling method is adopted to investigate each channel of complex networks independently. By constructing a time-dependent Lyapunov function, it is proved that the pinning synchronization of complex networks with a target node can be achieved if the control parameters are appropriately selected. Furthermore, further study is needed to investigate the pinning synchronization of complex networks in the presence of constant delay. A novel criterion is obtained using Jensen’s inequality and Wirtinger’s inequality. It is worth noting that the lower and upper bounds of the sampling intervals can be calculated by linear matrix inequality box of MATLAB. Theoretical results are well verified through a numerical simulation.

scholarly journals Adaptive Pinning Synchronization of Fractional Complex Networks with Impulses and Reaction–Diffusion Terms

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 405 ◽  
Author(s):  
Xudong Hai ◽  
Guojian Ren ◽  
Yongguang Yu ◽  
Conghui Xu
Keyword(s):  
Complex Networks ◽  
Lyapunov Method ◽  
Reaction Diffusion ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Communication Topology ◽  
General Network ◽  
Inequality Techniques ◽  
Adaptive Control Strategy ◽  
Pinning Scheme

In this paper, a class of fractional complex networks with impulses and reaction–diffusion terms is introduced and studied. Meanwhile, a class of more general network structures is considered, which consists of an instant communication topology and a delayed communication topology. Based on the Lyapunov method and linear matrix inequality techniques, some sufficient criteria are obtained, ensuring adaptive pinning synchronization of the network under a designed adaptive control strategy. In addition, a pinning scheme is proposed, which shows that the nodes with delayed communication are good candidates for applying controllers. Finally, a numerical example is given to verify the validity of the main results.

scholarly journals Event-triggered Synchronization of Uncertain Delayed Generalized RDNNs

2021 ◽  
Author(s):  
Weiyuan Zhang ◽  
Junmin Li ◽  
Keyi Xing ◽  
Rui Zhang ◽  
Xinyu Zhang
Keyword(s):  
Reaction Diffusion ◽  
Delay System ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Control Scheme ◽  
Halanay’S Inequality ◽  
Network Transmission ◽  
Inequality Techniques ◽  
And Control ◽  
Event Triggered

Abstract This paper investigates the exponential synchronization analysis of master–slave chaotic uncertain delayed generalized reaction-diffusion neural networks (GRDNNs) with event-triggered control scheme. A delay GRDNNs system model for the analysis is constructed by investigating the effect of the network transmission delay. By constructing a novel Lyapunov–Krasovskii functional and using a delay system approach for designing event-triggered controllers and some inequality techniques like Jensen’s inequality, Wirtinger’s inequality and Halanay’s inequality, the criteria are obtained for the event-triggered synchronization analysis and control synthesis of delayed GRDNNs. The synchronization criteria are formulated in terms of linear matrix inequalities. Finally, we conclude that the slave systems synchronize with the master systems. Two examples show the proposed theoretical results are feasible and effective.

scholarly journals Global Finite-Time and Fixed-Time Synchronization for Discontinuous Complex Dynamical Networks with Semi-Markovian Switching and Mixed Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Lina Yu ◽  
Jingchao Zhang ◽  
Yunfei Ma ◽  
Xinhua Tan ◽  
Chunwei Wang
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Fixed Time ◽  
Functional Method ◽  
Markovian Switching ◽  
Complex Dynamical Networks ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Dynamical Networks ◽  
Analysis Technique

This paper is concerned with the global finite-time and fixed-time synchronization for a class of discontinuous complex dynamical networks with semi-Markovian switching and mixed time-varying delays. The novel state-feedback controllers, which include integral terms and discontinuous facts, are designed to realize the global synchronization between the drive system and response system. By applying the Lyapunov functional method and matrix inequality analysis technique, the global finite-time and fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

scholarly journals Fast fixed-time synchronization of T–S fuzzy complex networks

2021 ◽  
Vol 26 (4) ◽  
pp. 597-609
Author(s):  
Shuai Liu ◽  
Lingli Zhao ◽  
Wanli Zhang ◽  
Xinsong Yang ◽  
Fuad E. Alsaadi
Keyword(s):  
Complex Networks ◽  
Time Synchronization ◽  
Fuzzy Controller ◽  
Sufficient Conditions ◽  
Analytical Techniques ◽  
Fixed Time ◽  
Comparison System ◽  
Numerical Examples ◽  
Control Schemes ◽  
The Given

In this paper, fast fixed-time (FDT) synchronization of T–S fuzzy (TSF) complex networks (CNs) is considered. The given control schemes can make the CNs synchronize with the given isolated system more fleetly than the most of existing results. By constructing comparison system and applying new analytical techniques, sufficient conditions are established to derive fast FDT synchronization speedily. In order to give some comparisons, FDT synchronization of the considered CNs is also presented by designing FDT fuzzy controller. Numerical examples are given to illustrate our new results.

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