Intermittent Discrete Observation Control for Synchronization of Stochastic Neural Networks

Wu, Yongbao; Zhu, Jilin; Li, Wenxue

doi:10.1109/tcyb.2019.2930579

Cited by 109 publications

(27 citation statements)

References 48 publications

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“…which contradicts with the second inequality in Equation (9). Therefore, Equation (8) holds, that is,…”

Section: Lemma 3 Assume Y (T R(t)) Is Nonnegative Continuous Functimentioning

confidence: 89%

“…[4][5][6] In particular, synchronization is a collective typical behavior in dynamical network, which not only can explain many natural phenomena, such as the spread of an epidemic and the lighting of fireflies, but also has extensive applications, including image processing and secure communication, see Wang. 7 Thus, synchronization for SCN has been a hot topic in the past few years, and numerous related results have been carried out (see the works of other studies [8][9][10][11] ). For example, Li et al 10 studied the synchronization of stochastic hybrid coupled systems with multi-weights and mixed delays.…”

Section: Introductionmentioning

confidence: 99%

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Synchronization for stochastic hybrid coupled controlled systems with Lévy noise

Zhou

2020

Math Methods in App Sciences

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In this paper, synchronization for stochastic hybrid-delayed coupled systems with Lévy noise on a network (SHDCLN) is investigated via aperiodically intermittent control. Here time delays, Markovian switching and Lévy noise are considered on a network simultaneously for the first time. After that, by means of Lyapunov method, graph theory, and some techniques of inequality, some sufficient conditions are derived to guarantee the synchronization for SHDCLN. In addition, the designed range of aperiodically intermittent controller parameters is shown. Meanwhile, the coupling strength and the perturbed intensity of noise have a great impact on the intensity of control. Then, we investigate synchronization for stochastic hybrid delayed Chua's circuits with Lévy noise on a network as a practical application of our theoretical results. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.

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“…which contradicts with the second inequality in Equation (9). Therefore, Equation (8) holds, that is,…”

Section: Lemma 3 Assume Y (T R(t)) Is Nonnegative Continuous Functimentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Synchronization for stochastic hybrid coupled controlled systems with Lévy noise

Zhou

2020

Math Methods in App Sciences

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“…In fact, competitive relationships are always universal in many actual situations, such as personalized recommendation, 6 social networks, 7 economic systems, 8 and so on. [9][10][11][12] Taking economic systems as an example, duopolistic regimes appear frequently. It means that companies which provide a certain service or produce a certain product are divided into two competing cartels.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noticed that the above networks are usually modeled as unsigned networks (unsigned digraphs) with positive weights, which means there only exist cooperative relationships. In fact, competitive relationships are always universal in many actual situations, such as personalized recommendation, 6 social networks, 7 economic systems, 8 and so on 9‐12 . Taking economic systems as an example, duopolistic regimes appear frequently.…”

Section: Introductionmentioning

confidence: 99%

Exponential bipartite synchronization of random signed networks with Markovian switching via impulsive control

Wang

Xie

2020

Intl J Robust & Nonlinear

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In this article, exponential bipartite synchronization in mth moment of random signed networks is studied. Different from previous work, both random disturbances and Markovian switching are considered into signed networks. It is worth emphasizing that the topological structure of signed networks depends on Markovian switching, and not all switching subnetworks are required to be strongly connected. In addition, an impulsive controller is designed to make random signed networks with Markovian switching achieve bipartite synchronization. Then, by using Lyapunov method and signed digraph theory, two synchronization criteria are obtained. These criteria have a close relationship with the topological structure of signed networks, the impulsive gain and the reverse average impulsive interval. Furthermore, our theoretical results are applied to studying exponential bipartite synchronization in mth moment of single-link robot arms in engineering, and a synchronization criterion is given. Finally, some numerical simulations are shown to illustrate the effectiveness and feasibility of theoretical results.

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“…Based on the above discussions, this paper focuses on the stability and synchronization problems of fractional‐order delayed multilink CNs with nonlinear hybrid couplings. Up to now, some classical and effective control methods have been proposed for CNs, such as intermittent control, 23,24 activation control, 25 the linear separation method, 26 the linear coupling method, 27 and the adaptive control 28 . Different from these methods, this paper uses feedback controllers which not only control parameter uncertainty of systems in the internal but also show the strong robustness in the external.…”

Section: Introductionmentioning

confidence: 99%

Stability and synchronization of fractional‐order delayed multilink complex networks with nonlinear hybrid couplings

Wang

et al. 2020

Math Methods in App Sciences

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In this paper, the stability and synchronization problems of fractional‐order delayed multilink complex networks with nonlinear hybrid couplings are investigated simultaneously, where discrete time‐varying delays and distributed time‐varying delays are both taken into account. By virtue of graph‐theoretic approach and Lyapunov method, under feedback control, some criteria are established to guarantee that the underlying networks achieve stability and synchronization. The obtained criteria are related to topological structure of subsystems, control gain, and the upper bound of time‐varying delays. Furthermore, in order to show practicality, the obtained results are applied to fractional‐order delayed multilink competitive neural networks with nonlinear hybrid couplings and fractional‐order Lorenz chaotic delayed coupled systems with nonlinear hybrid couplings, respectively. Finally, two numerical examples are given to illustrate the effectiveness and feasibility of our theoretical results.

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Intermittent Discrete Observation Control for Synchronization of Stochastic Neural Networks

Cited by 109 publications

References 48 publications

Synchronization for stochastic hybrid coupled controlled systems with Lévy noise

Synchronization for stochastic hybrid coupled controlled systems with Lévy noise

Exponential bipartite synchronization of random signed networks with Markovian switching via impulsive control

Stability and synchronization of fractional‐order delayed multilink complex networks with nonlinear hybrid couplings

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