Leaderless consensus of multi-agent systems with Lipschitz nonlinear dynamics and switching topologies

Liu, Wei; Zhou, Shaolei; Qi, Yahui; Xiuzhen, Wu

doi:10.1016/j.neucom.2015.09.005

Cited by 92 publications

(41 citation statements)

References 26 publications

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“…In [18,22,23], consensus problems of multi-agent systems with nonlinear dynamics under switching topologies were considered. However, a common assumption of these works on the switching topologies is all the topologies are required to be connected or having a spanning tree.…”

Section: Remarkmentioning

confidence: 99%

“…Different assumptions on the switching topologies for multi-agent systems have been explored in recent years [16][17][18]. By assuming that the switching topologies keep connected or contain a spanning tree at every time, a heap of results have been reported [19][20][21][22][23]. However, it is impractical to impose the connectivity condition on all possible topologies.…”

Section: Introductionmentioning

confidence: 99%

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Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies

Chen

Wang

Zhang

2016

Entropy

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This paper considers the consensus problem of nonlinear multi-agent systems under switching directed topologies. Specifically, the dynamics of each agent incorporates an intrinsic nonlinear term and the interaction topology may not contain a spanning tree at any time. By designing a state-controlled switching law, we show that the multi-agent system with the neighbor-based protocol can achieve consensus if the switching topologies jointly contain a spanning tree. Moreover, an easily manageable algebraic criterion is deduced to unravel the underlying mechanisms in reaching consensus. Finally, a numerical example is exploited to illustrate the effectiveness of the developed theoretical results.

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Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies

Chen

Wang

Zhang

2016

Entropy

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“…The early research about the consensus was mainly conducted under the framework of linear systems . Because the nonlinear dynamics is indeed inherent for multiagent systems, the consensus for multiagent system with nonlinear dynamics has received increasing attention . In the work of Liu et al, by employing matrix decomposition and variable transformation method, the consensus of multiple agents was reached under the designed feedback control gains.…”

Section: Introductionmentioning

confidence: 99%

“…[11][12][13] Because the nonlinear dynamics is indeed inherent for multiagent systems, the consensus for multiagent system with nonlinear dynamics has received increasing attention. [14][15][16] In the work of Liu et al, 14 by employing matrix decomposition and variable transformation method, the consensus of multiple agents was reached under the designed feedback control gains. A state transformation was employed in the work of Li and Ji 15 to deal with the nonlinear dynamics in the multiagent systems, then by choosing proper…”

Section: Introductionmentioning

confidence: 99%

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Consensus of multiagent systems with nonlinear dynamics and time‐varying communication delays

Qian

Gao

Wang

et al. 2019

Intl J Robust & Nonlinear

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Summary This paper deals with the local consensus of multiagent systems with nonlinear dynamics communication delays simultaneously. By introducing a weighted average state and applying the properties of the Laplacian matrix eigenvalues, the system is decoupled into several subsystems, firstly, to reduce complexity of theory analysis. Then, a new augmented vector containing single and double integral terms is constructed and the corresponding Lyapunov functional with triple integral terms is introduced. Meanwhile, in order to improve the estimating accuracy of the derivatives of constructed Lyapunov functional, single integral inequalities and double integral inequalities via auxiliary functions, an extended relaxed integral inequality and an reciprocally convex approach are used, as a result, stability criterion with less conservatism is derived, which guarantees the local consensus of the considered systems. Finally, numerical examples are provided to check the improvement of the proposed method over the existing works.

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Guaranteed‐Performance Consensualization for High‐Order Lipschitz Nonlinear Multi‐Agent Systems with Balanced Directed Switching Topologies

Tang

Zhang

et al. 2018

Asian Journal of Control

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Guaranteed-performance consensus design problems for both the leaderless and leader-following high-order multi-agent systems with balanced directed switching topologies and Lipschitz nonlinear dynamics are investigated. Consensus protocols and quadratic performance functions based on state errors are proposed to obtain the guaranteed-performance consensus. By a state decomposition method, the consensualization problems for leaderless cases are transformed into asymptotic stability ones of a reduced-order subsystem and the guaranteed-performance cost is determined by the Lyapunov stability analysis of the reduced-order subsystem, and the state error method is utilized to deal with the guaranteed-performance consensualization problems for leader-following cases. Then, by using the structure property of the transformation matrix and the Lipschitz condition, the impacts of Lipschitz nonlinear terms can be determined. Moreover, guaranteed-performance consensualization criteria are presented based on linear matrix inequalities for both leaderless and leader-following cases with directed switching topologies. Furthermore, the guaranteed-performance costs are determined, which can respectively reflect the structures of the interaction topologies of leaderless and leader-following cases. Finally, two numerical simulations are presented to verify the validity of theoretical results.

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Leaderless consensus of multi-agent systems with Lipschitz nonlinear dynamics and switching topologies

Cited by 92 publications

References 26 publications

Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies

Distributed Consensus of Nonlinear Multi-Agent Systems on State-Controlled Switching Topologies

Consensus of multiagent systems with nonlinear dynamics and time‐varying communication delays

Guaranteed‐Performance Consensualization for High‐Order Lipschitz Nonlinear Multi‐Agent Systems with Balanced Directed Switching Topologies

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