Synchronization in finite time for variable-order fractional complex dynamic networks with multi-weights and discontinuous nodes based on sliding mode control strategy

Li, Xia; Wu, Huaiqin; Cao, Jinde

doi:10.1016/j.neunet.2021.03.033

Cited by 23 publications

(9 citation statements)

References 45 publications

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“…Remark 4. Different from multi-weights being considered in complex networks modeled by ordinary differential equations, [54][55][56]58 this paper addresses multi-weights in complex networks with spatio-temporal characteristics based on PDEs.…”

Section: Synchronization Of Time-varying Delayed Cstnslhpdes With Mul...mentioning

confidence: 99%

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Adaptive control for synchronization of time‐delayed complex networks with multi‐weights based on semi‐linear hyperbolic PDEs

Yang,

Qiu

2024

Adaptive Control & Signal

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SummaryThis paper studies the adaptive synchronization of complex spatio‐temporal networks modeled by semi‐linear hyperbolic partial differential equations (CSTNSLHPDEs) as well as considering time‐invariant and time‐varying delays in a one‐dimensional space. Firstly, a distributed adaptive controller is proposed, where different nodes are with different adaptive gains. Secondly, four cases, CSTNSLHPDEs with time‐invariant delays and one single weight, with time‐invariant delays and multi‐weights, with time‐varying delays and one single weight, and with time‐varying delays and multi‐weights, are successively analyzed, and synchronization conditions of these four cases are obtained by using the proposed distributed adaptive controller. In the end, examples illustrate the effectiveness of the proposed distributed adaptive controller.

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Section: Synchronization Of Time-varying Delayed Cstnslhpdes With Mul...mentioning

confidence: 99%

“…From a different perspective, multi-weights exist in many physical networks, [53][54][55][56][57] which has not addressed yet in CSTNSLHPDEs. The research of CSTNSLHPDEs with one single weight and multi-weights is of importance and remains challenging, which will be studied in this paper.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control for synchronization of time‐delayed complex networks with multi‐weights based on semi‐linear hyperbolic PDEs

Yang,

Qiu

2024

Adaptive Control & Signal

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“…Other than the Lipschitz-type condition, a more general discontinuous condition is considered in this paper. At present, the discontinuous condition has been discussed in [34] and [35], in which some sufficient conditions are given to guarantee that neural networks can achieve finite-time synchronization. In a fixed-time framework, a delayed MAS with discontinuous dynamical is considered in this paper, and the fixed-time average consensus can be achieved over fixed and switching topology, respectively.…”

Section: Problem Formulationmentioning

confidence: 99%

Fixed-Time Average Consensus for Delayed Multi-Agent Systems with Discontinuous Dynamics under Fixed and Switching Topology

Yan

2023

Preprint

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This paper is concerned with the fixed-time average consensus problem of delayed multi-agent systems (MASs) under the framework of discontinuous inherent dynamics. By introducing the weighted average state as the virtual leader, the leaderless fixed-time consensus problem can be transformed into the stability problem of the error system. Two distributed control protocols are skillfully proposed based on the neighbors’ information to guarantee that the MASs can achieve finite- and fixed-time consensus, respectively. By establishing a relationship between any two nodes in the MASs, some sufficient conditions are derived such that the resulting consensus tracking errors can be converged to zero within a finite/fixed time, respectively. In addition, an analytical expression of the setting time is given, which does not rely on the initial conditions. Moreover, finite-/fixed-time control under switching topology is also studied, and the relevant results are achieved. The theoretical results are illustrated by two examples.

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“…Remark 2. Compared with the results modeled by ordinary differential equations with multiweights [39][40][41][42][43], this paper addresses spatio-temporal models with multi-weights.…”

Section: Synchronization Of Hpdecstns With Multi-weightsmentioning

confidence: 99%

“…However, technical difficulties remain regarding the synchronization of a semilinear, first-order HPDECSTNs when the convection coefficient is symmetric semi-negative definite or semi-positive definite, which motivate this paper. Multi-weights exist in many physical networks [39][40][41][42][43]. As a result, HPDECSTN with multi-weights is important and remains challenging.…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

Yang

2022

Mathematics

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This paper deals with the leader-following synchronization of first-order, semi-linear, complex spatio-temporal networks. Firstly, two sorts of complex spatio-temporal networks based on hyperbolic partial differential equations (CSTNHPDEs) are built: one with a single weight and the other with multi-weights. Then, a new distributed controller is designed to address CSTNHPDE with a single weight. Sufficient conditions for the synchronization and exponential synchronization of CSTNHPDE are presented by showing the gain ranges. Thirdly, the proposed distributed controller addresses of CSTNHPDE with multi-weights, and gain ranges are obtained for synchronization and exponential synchronization, respectively. Finally, two examples show the effectiveness and good performance of the control methods.

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Synchronization in finite time for variable-order fractional complex dynamic networks with multi-weights and discontinuous nodes based on sliding mode control strategy

Cited by 23 publications

References 45 publications

Adaptive control for synchronization of time‐delayed complex networks with multi‐weights based on semi‐linear hyperbolic PDEs

Adaptive control for synchronization of time‐delayed complex networks with multi‐weights based on semi‐linear hyperbolic PDEs

Fixed-Time Average Consensus for Delayed Multi-Agent Systems with Discontinuous Dynamics under Fixed and Switching Topology

Exponential Synchronization of Hyperbolic Complex Spatio-Temporal Networks with Multi-Weights

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