Sampled-data synchronization criteria for Markovian jumping neural networks with additive time-varying delays using new techniques

Wu, Tao; Cao, Jinde; Xiong, Lianglin; Zhang, Haiyang; Shu, Jinlong

doi:10.1016/j.amc.2021.126604

Cited by 7 publications

(8 citation statements)

References 37 publications

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“…Assume that Ψ 1i < 0 and Ψ 2i < 0 which are consistent with Equations ( 36) and (37), severally. Since LMIs (Equations 36 and 37) hold, _ W ðtÞ < 0 can be obtained.…”

Section: Stability Analysis On the Basis Of Two-sided Lblfmentioning

confidence: 73%

“…[36] to examine mean square exponential stabilisation is constructing exponential-type Lyapunov functionals with a time schedule making full use of the segmentation technology. Taking this a step further, much of researches have paid attention to the synchronisation of sampled-data for a category of MJSs [37][38][39]. Using the Lyapunov functional method with two-sided sampled-data period correlation, for the drive response of Markovian jump neural networks, new conditions are proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Using the Lyapunov functional method with two-sided sampled-data period correlation, for the drive response of Markovian jump neural networks, new conditions are proposed in Ref. [37] to warrant the synchronization of stochastic sampled-data. Sampled-data synchronization with finite time was addressed in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Sampled‐data synchronization of singular Markovian jump system: Application to DC motor model

Wang

Chen

Yang

et al. 2022

IET Cyber-Phy Sys Theory & Ap

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Sampled-data synchronization problem for singular Markovian jump systems (SMJSs) subject to aperiodic sampled-data control is investigated. Firstly, via constructing modedependent one-sided loop-based Lyapunov functional (LBLF) and two-sided LBLF, two different stochastically admissible conditions are suggested for error SMJSs with aperiodic sampled-data. It is guaranteed that the slave system is stochastically synchronized to the master system on the basis of the proposed stochastically admissible conditions. Secondly, two corresponding mode-dependent aperiodic sampled-data controller design approaches are provided for error SMJSs based on two different conditions, separately. Finally, the validity of these approaches is demonstrated by a direct current (DC) motor model. It also demonstrated that the two-sided LBLF method possesses a larger upper bound of sampled-data period than the one-sided LBLF method.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…Assume that Ψ 1i < 0 and Ψ 2i < 0 which are consistent with Equations ( 36) and (37), severally. Since LMIs (Equations 36 and 37) hold, _ W ðtÞ < 0 can be obtained.…”

Section: Stability Analysis On the Basis Of Two-sided Lblfmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sampled‐data synchronization of singular Markovian jump system: Application to DC motor model

Wang

Chen

Yang

et al. 2022

IET Cyber-Phy Sys Theory & Ap

View full text Add to dashboard Cite

show abstract

“…with 𝛾 3 > 0, and the other notations are the same as (11). By using the same analysis as Theorem 1, we can show that V(t) is positive definite.…”

Section: Synchronization Controller Based On Relative Outputsmentioning

confidence: 84%

“…Cooperation of networked systems is studied and applied widely because of its strong adaptivity, high robustness, flexibility, scalability, and low operational costs. [1][2][3][4][5][6][7] The most common cooperative goals include synchronization, [8][9][10][11][12][13][14] consensus, [15][16][17] containment, 18,19 formation 20,21 and so forth. Among the aforementioned goals, both synchronization and consensus are the fundamental ones which seek to reach an agreement on a desired state by utilizing relative information among neighboring agents.…”

Section: Introductionmentioning

confidence: 99%

Synchronization of stochastic switching complex networks with a target of nonzero inputs

Tian,

Wang

2023

Adaptive Control & Signal

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SummaryIn this article, we study the mean square synchronization problems for complex networks with a target of nonzero inputs under stochastic switching topology that is driven by an ergodic continuous‐time Markov process. First, we design an adaptive continuous controller based on relative full states that is consist of a synchronization term and an uncertainty elimination term, where the latter term can completely eliminate the effects of target's nonzero inputs and is continuous by adding an exponential decay function with positive initial values into the denominator. By developing a stochastic Lyapunov function, we show that zero error synchronization in the mean square sense can be achieved if the union of switching graphs contains a directed spanning tree with the target being the root. Second, we design an adaptive continuous controller based on relative outputs. Finally, we give two simulation examples to validate the theoretical results.

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A novel adaptive event‐triggered security consensus control mechanism for leader‐following multi‐agent systems under hybrid random cyber attacks

Xiong,

Chen,

Cao

et al. 2024

Intl J Robust & Nonlinear

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Aiming at the security consensus control problem of leader‐following multi‐agent systems (MASs) under hybrid random cyber attack, this article proposes a novel sampled information related adaptive event‐triggered control mechanism (SIRAETCM). While ensuring the safety performance of the MASs, the mechanism adaptively and dynamically adjusts the trigger threshold of every agent to achieve discontinuous communication by using only the current and latest sampled signals. According to the MASs communication mode and Bernoulli attack model, a security consensus control protocol is constructed, and a bilateral sampled‐interval Lyapunov functional (BSILF) method is introduced to obtain more sampling interval information and establish sufficient conditions for the leader‐following state error system to stabilize asymptotically under hybrid random cyber attacks. Meanwhile, under a large sampling interval, the controller gain and adaptive event‐triggered parameters are designed and obtained. The simulation of the tunnel diode circuit system shows that the SIRAETCM can reduce the number of communications between agents to improve bandwidth utilization, and the adopted safety cooperative control protocol can improve the safety and effectiveness of the MASs.

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Sampled-data synchronization criteria for Markovian jumping neural networks with additive time-varying delays using new techniques

Cited by 7 publications

References 37 publications

Sampled‐data synchronization of singular Markovian jump system: Application to DC motor model

Sampled‐data synchronization of singular Markovian jump system: Application to DC motor model

Synchronization of stochastic switching complex networks with a target of nonzero inputs

A novel adaptive event‐triggered security consensus control mechanism for leader‐following multi‐agent systems under hybrid random cyber attacks

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