Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and switching topologies

Zhai, Shidong; Li, Qingdu

doi:10.1016/j.sysconle.2016.03.008

Cited by 53 publications

(16 citation statements)

References 22 publications

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“…Note that the signed networks in most of current works [25][26][27][28][29][30][31][32][33] are assumed to be composed by identical linear systems. In recent years, some attention has been paid to the coordination control of signed networks with nonlinear dynamics: Hu et al 47 considered the traditional synchronization problem for signed networks with Lipschitz-type node dynamics; Zhai et al [48][49][50] studied the bipartite leaderless and leader-following synchronization in a network of nonlinear systems satisfying the one-sided Lipschitz condition. Since nonlinear systems exhibit rich and complex dynamics, the nodes of nonlinear signed networks may satisfy other kinds of conditions such as the well-known sector condition, [34][35][36][37][38] whose coordination control deserves to be deeply investigated.…”

Section: Main Motivationsmentioning

confidence: 99%

“…Therefore, compared with the continuous‐time control algorithms, the sampled‐data control algorithms can significantly reduce the communication load of the signed Lur'e networks. Noting that the bipartite synchronization algorithms for nonlinear signed networks in the current literature are usually designed in continuous‐time setting, this paper presents both continuous‐time and sampled‐data control algorithms. Different from the continuous‐time control algorithms for unsigned Lur'e networks, the proposed continuous‐time control algorithms for reaching bipartite synchronization in signed Lur'e networks need to consider both the network structure and node dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Bipartite synchronization of Lur'e network under signed digraph

Liu

Song

Wen

et al. 2018

Intl J Robust & Nonlinear

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Summary This paper considers the bipartite leaderless and leader‐following synchronization in a network of coupled Lur'e systems with sector‐condition node dynamics and signed digraph topology, where the interaction digraph consists of both positive and negative communication links. Continuous‐time and sampled‐data control algorithms are, respectively, proposed to solve the bipartite synchronization problems for the signed Lur'e network. Under some assumptions on the network structure and node functions, some bipartite synchronization conditions are established for signed Lur'e network by using coordinate transform, linear matrix inequalities, and algebraic graph theories. For the continuous‐time control algorithms, it is shown that the bipartite synchronization problems of the signed Lur'e network can always be solved if the coupling strength is sufficiently large and the network topology satisfies some suitable conditions. For the sampled‐data control algorithms, an upper bound of the sampling intervals is estimated to ensure that the bipartite synchronization can be reached in the signed Lur'e network. Some simulation results are given to illustrate the effectiveness of the theoretical analysis.

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Section: Main Motivationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bipartite synchronization of Lur'e network under signed digraph

Liu

Song

Wen

et al. 2018

Intl J Robust & Nonlinear

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“…During the past decades, there are a lot of good results on consensus or synchronization of multi-agent systems or complex networks, see [1]- [13] and references therein. In order to deal with the consensus problems for the various networked systems under different cases, adaptive control [14]- [17], pinning control [18]- [20], impulse control [21], [22] and other effective control techniques are used.…”

Section: Introductionmentioning

confidence: 99%

“…Compared with linear systems, the study of the synchronization of nonlinear systems is more complicated but more practical. Zhai and Li [20] propose a consensus protocol via a The associate editor coordinating the review of this manuscript and approving it for publication was Xudong Zhao .…”

Section: Introductionmentioning

confidence: 99%

Adaptive Consensus of Two Coupled Heterogeneous Networked Systems With Bidirectional Actions

Nasr

El-Tamimi

et al. 2020

IEEE Access

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The outer consensus between two coupled heterogeneous networked systems with bidirectional actions and nonidentical topologies is addressed in this paper. Based on the adaptive theory, a control protocol is designed for two coupled heterogeneous networked systems, where each system consists of doubleintegrator and single-integrator nodes with different nonlinear dynamics. In the light of Lyapunov method and LaSalle's invariance principle, we prove that the coupled heterogeneous networked systems can reach outer consensus by using the reported controller. Meanwhile, the adaptive controller is also given for the second-order nonlinear systems under identical and nonidentical topologies. The correctness of the obtained theory is demonstrated by two simulation examples.

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“…[14]- [17]. More recently, bipartite synchronization in a network of scalar nonlinear systems whose vector fields are odd functions has been studied in [18].…”

mentioning

confidence: 99%

Exploiting Nodes Symmetries to Control Synchronization and Consensus Patterns in Multiagent Systems

Fiore

Russo

Bernardo

2017

IEEE Control Syst. Lett.

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We present new conditions to obtain synchronization and consensus patterns in complex network systems. The key idea is to exploit symmetries of the nodes' vector fields to induce a desired synchronization/consensus pattern, where nodes are clustered in different groups each converging towards a different synchronized evolution. We show that the new conditions we present offer a systematic methodology to design a distributed network controller able to drive a network of interest towards a desired synchronization/consensus pattern.

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Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and switching topologies

Cited by 53 publications

References 22 publications

Bipartite synchronization of Lur'e network under signed digraph

Bipartite synchronization of Lur'e network under signed digraph

Adaptive Consensus of Two Coupled Heterogeneous Networked Systems With Bidirectional Actions

Exploiting Nodes Symmetries to Control Synchronization and Consensus Patterns in Multiagent Systems

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