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Wuneng Zhou,Chuan Ji,Jinping Mou,Dongbing Tong,Yan Gao 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.5
This article focuses on the problem of adaptive target synchronization for the Wireless Sensor Networks (WSNs). By applying the LaSalle-type invariance principle and the M-matrix approach for stochastic differential delay equations with Markovian switching, several sufficient conditions to ensure adaptive target synchronization and adaptive exponential target synchronization in pth moment for WSNs with Markov delays and stochastic noises are derived. We further investigate the adaptive exponential target synchronization in probabilistic sense for the WSNs and obtain the almost sure adaptive exponential target synchronization. Via the adaptive feedback control techniques, some suitable parameters update laws are attained. We finally show some numerical simulations to illustrate the effectiveness of the results derived in this paper.
Jian-An Wang,Xin-Yu Wen 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.4
This paper is concerned with the exponential synchronization problem of nonlinearly coupled neural networks with mixed delays. By employing the intermittent control strategy, several appropriate linear and adaptive pinning controllers are designed in each control period. With the help of a new differential inequality, some conditions are proposed to guarantee that the coupled networks can realize pinning synchronization exponentially. The minimum number of pinned nodes is determined by using high-degree pinning scheme. Two numerical examples are provided finally to demonstrate the effectiveness of the theoretical results.
Xiaofan Li,Jian-an Fang,Huiyuan Li 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.6
This paper solves the exponential synchronization problem of two memristive recurrent neural networks with both stochastic disturbance and time-varying delays via periodically alternate state feedback control. First, a periodically alternate state feedback control rule is designed. Then, on the basis of the Lyapunov stability theory, some novel sufficient conditions guaranteeing exponential synchronization of drive-response stochastic memristive recurrent neural networks via periodically alternate state feedback control are derived. In contrast to some previous works about synchronization of memristive recurrent neural networks, the obtained results in this paper are not difficult to be validated, and complement, extend and generalize the earlier papers. Lastly, an illustrative example is provided to indicate the effectiveness and applicability of the obtained theoretical results.
A new method for exponential synchronization of memristive recurrent neural networks
Zhang, Ruimei,Park, Ju H.,Zeng, Deqiang,Liu, Yajuan,Zhong, Shouming Elsevier science 2018 Information sciences Vol.466 No.-
<P><B>Abstract</B></P> <P>This paper investigates the exponential synchronization problem of memristive recurrent neural networks (MRNNs). A novel approach, switching matrix approach, is considered to study synchronization of MRNNs for the first time. All the matrices in the constructed Lyapunov–Krasovskii functional (LKF) are switching according to different switching rules. Based on the switching matrix approach, a new synchronization criterion is established in the form of linear matrix inequalities (LMIs). Compared with some existing methods, the switching matrix approach is more flexible and can improve the synchronization performance with low control cost. Finally, numerical simulations are provided to show the effectiveness and advantages of the proposed results.</P>
Yao Cui,Pei Cheng 제어·로봇·시스템학회 2024 International Journal of Control, Automation, and Vol.22 No.7
This paper investigates the exponential synchronization of stochastic time-delayed memristor-based neural networks (MBNNs) with using pinning impulsive control. Different from the traditional impulsive control schemes, a hybrid pinning impulsive control scheme is presented, and some sufficient conditions for exponential synchronization of system are established. Moreover, on the basis of the obtained results, the problem of delayed impulsive stabilization of stochastic time-delayed MBNN is studied. At last, an example is provided to demonstrate the validity of the obtained results.
Chao Ge,Chenlei Chang,Yajuan Liu,Changchun Hua 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.9
The exponential synchronization for a class of neural networks (NNs) based on dynamic event-triggered mechanism (DETM) is researched in this article. Firstly, an unbounded distributed delay is introduced into the NNs. Next, based on the characteristics of the sawtooth structure, an improved bilateral Lyapunov-Krasovskii functional (LKF) is constructed, which involves more information. By using improved integral inequality, some sufficient conditions are achieved for the exponential stability of the synchronization error system. Due to the influence of external factors or internal components, the controller parameter is uncertain. Then, a non-fragile controller is designed based on the decoupling technique. Moreover, a co-design scheme of controller gain and event-triggered matrix is obtained based on the linear matrix inequality technique. Finally, two examples are used to illustrate the validity and feasibility of the presented method.
Wuneng Zhou,Yan Gao,Dongbing Tong,Chuan Ji,Jian’an Fang 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.4
In this letter, the analysis problem of adaptive exponential synchronization in pth moment is considered for neutral-type neural networks with time delays and Markovian switching. By utilizing a new nonnegative function and the M-matrix approach, several sufficient conditions to ensure the adaptive exponential synchronization in pth moment for neutral-type neural networks are derived. Via the adaptive feedback control techniques, some suitable parameters update laws are found. To illustrate the effectiveness of the M-matrix-based synchronization conditions derived in this letter, numerical example is provided finally.
Lin Pan,Xin Tang,Yongping Pan 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper introduced a new class of Complex Dynamic Networks (CDNs) with hybrid Time-Varying Delay (TVD) and Non-Time-Varying Delay (NTVD) nodes. Exponential Synchronization (ES) and Generalized Synchronization(GS) problems are studied by using a novel coupling Intermittent Periodically Adaptive Pinning Control (IPAPC) with these CDNs. Meanwhile, IPAPC has new characteristics with three switched intervals in every period. Based on IPAPC method, Kronecker product rules and Lyapunov Stability Theory (LST), necessary and sufficient conditions for ES and GS with IPAPC criteria of such CDNs have been deduced theoretically. Moreover, to verify the practicability and effectiveness of the proposed theoretical results and method, Nearest-Neighbor Network (NNN) and Barabási-Albert Network (BAN) consisting of coupled delay and non-delayed Lee chaotic attractor are finally given as the examples.
Jikai Wang,Xia Huang,Zhen Wang,Jianwei Xia,Hao Shen 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.11
This paper studies the exponential synchronization of chaotic delayed neural networks (CDNNs) under aperiodic sampled-data control. First, an aperiodic sampled-data controller with exponentially decaying gain is designed to enlarge the maximum sampling period and the maximum allowable delay while still preserving the stability of the closed-loop system. Then, a novel time-dependent Lyapunov functional that consists of the information of the exponential decay rate η is elaborately designed to analyze the stability of the closed-loop system instead of using the common “change of coordinates” method. With the aid of Lyapunov theory and some inequality techniques, the sufficient conditions are established to guarantee the exponential synchronization of master-slave CDNNs. Based on matrix transformation, the equivalent conditions in LMI form are established to design the feedback gain. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed controller and the obtained synchronization criteria.