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Exponential synchronization for complex dynamical networks with sampled-data

Zheng-Guang Wu, Ju H. Park, Hongye Su, Bo Song, Jian Chu
2012 Journal of the Franklin Institute  
This paper is concerned with the problem of exponential synchronization for a kind of complex dynamical networks (CDNs) with time-varying coupling delay and sampled-data.  ...  The sampling period considered here is assumed to be time-varying but bounded. A newly exponential synchronization condition is provided by using the Lyapunov method.  ...  Very recently, the sampled-data synchronization control problem has been investigated for a class of general complex networks with time-varying coupling delays in [18] , where a sufficient condition has  ... 
doi:10.1016/j.jfranklin.2012.09.002 fatcat:2m5lzje4grbs7js4upr4ahxgzq

Exponential Synchronization for Neutral Complex Dynamical Networks with Interval Mode-Dependent Delays and Sampled Data

Xinghua Liu, Hongsheng Xi
2013 Mathematical Problems in Engineering  
The exponential synchronization and sampled-data controller problem for a class of neutral complex dynamical networks (NCDNs) with Markovian jump parameters, partially unknown transition rates and delays  ...  Then according to the proposed exponential stability conditions, the sampled-data synchronization controllers are designed in terms of the solution to linear matrix inequalities that can be solved effectively  ...  However, few results are available for neutral complex dynamical networks (NCDNs) with sampled data.  ... 
doi:10.1155/2013/639580 fatcat:4jw6diqupfenjipt7y2xfz7tc4

Sampled-Data Exponential Synchronization of Complex Dynamical Networks With Time-Varying Coupling Delay

Zheng-Guang Wu, Peng Shi, Hongye Su, Jian Chu
2013 IEEE Transactions on Neural Networks and Learning Systems  
This paper is concerned with the synchronization problem for complex dynamical networks with time-varying coupling delay and sampled-data.  ...  A novel exponential synchronization condition is established based on the Gronwall's inequality, and an explicit expression for a set of sampled-data synchronization controllers is also given in terms  ...  In this paper, the problem of exponential synchronization is studied for complex dynamical networks with time-varying coupling delay and variable samplings.  ... 
doi:10.1109/tnnls.2013.2253122 pmid:24808559 fatcat:i5pgcfdoebfmvaax4bwngya4dm

Exponential Synchronization of Stochastic Complex Dynamical Networks with Impulsive Perturbations and Markovian Switching

Wuneng Zhou, Anding Dai, Dongbing Tong, Jun Yang
2014 Mathematical Problems in Engineering  
This paper investigates the exponential synchronization problem of stochastic complex dynamical networks with impulsive perturbation and Markovian switching.  ...  The complex dynamical networks consist ofκmodes, and the networks switch from one mode to another according to a Markovian chain with known transition probability.  ...  In [22] , the problem of sampled-data 2 Mathematical Problems in Engineering synchronization for Markovian jump neural networks with time-varying delay and variable samplings is considered, where the  ... 
doi:10.1155/2014/927858 fatcat:7o5ykkhgebc5pj6tffun5fcrt4

Sampled-Data Synchronization for Complex Dynamical Networks with Time-Varying Coupling Delay and Random Coupling Strengths

Jian-An Wang, Xin-Yu Wen
2014 Mathematical Problems in Engineering  
This paper is concerned with the problem of sampled-data synchronization for complex dynamical networks (CDNs) with time-varying coupling delay and random coupling strengths.  ...  By taking the characteristic of sampled-data system into account, a discontinuous Lyapunov functional is constructed, and a delay-dependent mean square synchronization criterion is derived.  ...  Conclusions In this paper, the sampled-data synchronization problem has been considered for a kind of complex dynamical networks with time-varying coupling delay and random coupling strengths.  ... 
doi:10.1155/2014/457457 fatcat:4abgny7unjdave6p4eaurtqi54

Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling

Bo Shen, Zidong Wang, Xiaohui Liu
2012 IEEE Transactions on Automatic Control  
This paper is concerned with the sampled-data synchronization control problem for a class of dynamical networks.  ...  The addressed synchronization control problem is first formulated as an exponentially mean-square stabilization problem for a new class of dynamical networks that involve both the multiple probabilistic  ...  Conclusions In this paper, the sampled-data synchronization control problem has been addressed for a class of dynamical networks with stochastic sampling.  ... 
doi:10.1109/tac.2012.2190179 fatcat:vpf7uv4rivf47fvl6o32pjlr2y

Exponential Synchronization of Nonlinear Oscillators Under Sampled-Data Coupling

Jijju Thomas, Erik Steur, Christophe Fiter, Laurentiu Hetel, Nathan van de Wouw
2020 2020 59th IEEE Conference on Decision and Control (CDC)  
The networked system dynamics is remodelled as a feedback-interconnection of a continuous-time system, and an operator that accounts for the communication constraints.  ...  By studying the properties of this feedback-interconnection in the framework of dissipativity theory, we provide a novel criterion that guarantees exponential synchronization.  ...  For nonlinear oscillators with networked bidirectional coupling, such synchronization problems become more complex due to uncertainties introduced via networked communication channels.  ... 
doi:10.1109/cdc42340.2020.9303910 fatcat:i3xp5y54mzdmvaczl33duuwkve

Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method

Fei Wang, Zhaowen Zheng, Yongqing Yang
2019 Complexity  
This paper investigates the synchronization of general complex dynamical networks (CDNs) with both internal delay and transmission delay.  ...  Both continuous feedback and sampled-data feedback methods are studied.  ...  In [20] , the pinning impulsive synchronization problem for a class of complex dynamical networks with time-varying delay has been summarized. e exponential synchronization of Lur'e type complex dynamical  ... 
doi:10.1155/2019/7348572 fatcat:lgum22rbqfevrjipk7ayjp2u4e

Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays

N. Sakthivel, Yong-Ki Ma, M. Mounika Devi, G. Manopriya, V. Vijayakumar, Mooyul Huh, Chittaranjan Hens
2022 Complexity  
In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among  ...  To achieve exponential synchronization, we designed a nonuniform sampled-data control approach.  ...  In addition, in [10] , a sampled data control scheme was adopted for exponential synchronization of CDNs with Markov jump, whereas in [11] a nonfragile sampled-data controller for exponential H ∞ synchronization  ... 
doi:10.1155/2022/2006947 fatcat:3jaeoipjsnagnh3jrra3sop2s4

Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks

Chao Yang, Lihong Huang, Fangmin Li
2018 Complexity  
By choosing a time-dependent Lyapunov-Krasovskii functional candidate and suitable controllers, some criteria are studied to guarantee the exponential synchronization of the complex delayed dynamical network  ...  This paper concerns complex delayed neural networks with discontinuous activations.  ...  The authors in [13] designed a coupling term by D x j t − τ t − x i t − τ t and realized the exponential synchronization for complex dynamical networks with sampled data.  ... 
doi:10.1155/2018/6164786 fatcat:dxlt6alw35dt7acc377bxabosm

Outer Synchronization of Drive-Response Complex-Valued Complex Networks via Intermittent Pinning Control

Xuefei Wu, Jianwen Feng, Zhe Nie, Guang Li
2021 Complexity  
This paper is concerned with the outer exponential synchronization of the drive-response complex dynamical networks subject to time-varying delays.  ...  Some novel sufficient conditions are derived to guarantee outer exponential synchronization of the considered complex-valued complex networks by using the Lyapunov functional method.  ...  Compared with existing real-value complex dynamical networks, the complex-value case is more challenging since the state of the dynamics is complex.  ... 
doi:10.1155/2021/6649519 fatcat:vxhbkbeubvctrbw5vkcryci6jy

Improved Nonfragile Sampled-Data Event-Triggered Control for the Exponential Synchronization of Delayed Complex Dynamical Networks

Can Zhao, Jinde Cao, Kaibo Shi, Yiqian Tang, Shouming Zhong, Fawaz E. Alsaadi
2022 Mathematics  
The exponential synchronization of complex dynamical networks (CDNs) under improved nonfragile sampled-data event-triggered control (INFSDETC) is investigated in this study.  ...  By using control theory and Lyapunov analysis theory, an improved event-triggered controller was constructed for more intelligent control and to ensure exponential synchronization for CDNs.  ...  Sampled-data controllers are designed to achieve exponential synchronization for CDNs. Exponential synchronization for CDNs under sampled-data feedback control was studied in [17] .  ... 
doi:10.3390/math10193504 fatcat:zcb37jspzvcqnneu3ycumrh4sq

Pinning Adaptive Synchronization of Delayed Coupled Dynamical Networks via Periodically Intermittent Control

Xueliang Liu, Shengbing Xu
2017 Mathematical Problems in Engineering  
Based on the Lyapunov method, by designing adaptive feedback controller, some sufficient conditions are presented to ensure the exponential synchronization of coupled dynamical networks with delayed coupling  ...  This paper investigates the exponential synchronization problem of delayed coupled dynamical networks by using adaptive pinning periodically intermittent control.  ...  An adaptive pinning control method is proposed in [15] to synchronize for a delayed complex dynamical network with free coupling matrix.  ... 
doi:10.1155/2017/3817805 fatcat:hr4o4nomhfbp3k2ezwrgniae2y

Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control

Tae H. Lee, Zheng-Guang Wu, Ju H. Park
2012 Applied Mathematics and Computation  
The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues.  ...  In this paper, the synchronization problem of a complex dynamical network with coupling time-varying delays via delayed sampled-data controller is investigated.  ...  Synchronization of a complex dynamical network with coupling time-varying delays via sampled-data control Tae H. Lee a , Zheng-Guang Wu a,b , Ju H.  ... 
doi:10.1016/j.amc.2012.07.042 fatcat:5krk57hrhnexdkcho6fenlmc5i

Stability Control Method of Hybrid Impulsive System Based on M-Matrix

Yunxu Tong, Guihua Li
2022 North atlantic university union: International Journal of Circuits, Systems and Signal Processing  
The synchronization problem of mixed-pulse systems in complex networks is analyzed using M matrix. The local coupling strength of the impulsive system is controlled according to the adaptive method.  ...  A class of Multi-Lyapunov functions is constructed for stability control of hybrid impulsive systems. The proposed method is proved to have better control effect through experiments.  ...  Synchronization analysis of network under hybrid pulse This section focuses on the exponential mean square synchronization of complex networks with impulse and Markov switching.  ... 
doi:10.46300/9106.2022.16.10 fatcat:v3gm3iubrraqlivjkny3x3q2we
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