Finite-time Consensus for Multi-agent Systems via Nonlinear Control Protocols

Zhu, Yanling; Guan, Xinping; Luo, Xiaoyuan

doi:10.1007/s11633-013-0742-9

Cited by 21 publications

(19 citation statements)

References 16 publications

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“…Following the proof outlined in [3], the result follows directly.    By considering the limit as k ® ¥, we also establish the following result for the long-range invariant sets of (15).…”

Section: Proofmentioning

confidence: 69%

“…)) be the solution process of (15). Let F t be an increasing family of sub -s algebras as previously defined and set m t…”

Section: T R a N S A C T I O N S O N N E T W O R K S A N D C O M M U mentioning

confidence: 99%

“…In this section, we consider numerical simulations for the multicultural dynamic network governed by the stochastic differential equation (15). We use a Euler-Maruyama [20][21][22] …”

Section: Numerical Simulationsmentioning

confidence: 99%

“…Another question of interest for such a network is when the group may divide into subgroups with an agreement reached within the subgroup but never reaching a consensus at an overall group level. Most of the work done in these areas look to develop consensus seeking algorithms and consider long term stability of the network in consideration [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic Hybrid Dynamic Multicultural Social Networks

Hilton

Ladde

2017

TNC

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In this work, we investigate the cohesive properties of a stochastic hybrid dynamic multi-cultural network under random environmental perturbations. By considering a multi-agent dynamic network, we model a social structure and find conditions under which cohesion and coexistence is maintained using Lyapunov's Second Method and the comparison method. In this paper, we present a prototype illustration that exhibits the significance of the framework and approach. Moreover, the explicit sufficient conditions in terms of system parameters are given to exhibit when the network is cohesive both locally and globally. The sufficient conditions are algebraically simple, easy to verify, and robust. Further, we decompose the cultural state domain into invariant sets and consider the behavior of members within each set. We also analyze the degree of conservativeness of the estimates using Euler-Maruyama type numerical approximation schemes based on the given illustration.

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Section: Proofmentioning

confidence: 69%

“…)) be the solution process of (15). Let F t be an increasing family of sub -s algebras as previously defined and set m t…”

Section: T R a N S A C T I O N S O N N E T W O R K S A N D C O M M U mentioning

confidence: 99%

“…In this section, we consider numerical simulations for the multicultural dynamic network governed by the stochastic differential equation (15). We use a Euler-Maruyama [20][21][22] …”

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stochastic Hybrid Dynamic Multicultural Social Networks

Hilton

Ladde

2017

TNC

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“…For example, work in both biological networks and control theory considers such large-scale dynamic models in the context of connectivity, stability and convergence [5] [6] [7]. Using these ideas, much of the work done in these areas look to develop consensus seeking algorithms and consider long term co-existence, cohesion, and stability of the network under consideration [8] [9] [10] [11].…”

Section: Introductionmentioning

confidence: 99%

Deterministic Multicultural Dynamic Networks: Seeking a Balance between Attractive and Repulsive Forces

Hilton¹,

Ladde²

2016

IJCNS

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An important issue in society is the attempt to balance communities working cooperatively and cohesively with one another while allowing members the ability to retain individuality and fostering an environment of cultural diversity. We seek to study the cohesive properties of a culturally diverse dynamic social network. By considering a multi-agent dynamic network, we seek to model a social structure and find conditions under which cohesion and coexistence are maintained. We present a specific illustration that serves to establish the framework in which explicit sufficient conditions in terms of system parameters are found for which the network is cohesive. By utilizing Lyapunov's Second Method and comparison equations, we are able to find such conditions for the given illustration. Further, for the illustration, we decompose the cultural state domain into invariant sets and consider the behavior of members within each set. Moreover, we analyze the relative cultural affinity between individual members relative to the center of the social network. We also demonstrate how conservative the estimates are using Euler type numerical approximation schemes based on the given illustration. We are then able to consider how changes in the various parameters affect the dynamics of the illustrated network. By gaining such insight into the behavior of the illustrated network, we are able to better understand the impact of both attractive and repulsive influences on the network. This leads to establishing a schema for helping when creating policies and practices catered to promoting both diversity and cohesion within a cultural network.

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Distributed fuzzy adaptive event‐triggered finite‐time consensus tracking control for uncertain nonlinear multi‐agent systems with asymmetric output constraint

Huang

Yue

Wang

et al. 2022

Intl J Robust & Nonlinear

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This article investigates the consensus problem for uncertain nonlinear multi‐agent systems (MASs) with asymmetric output constraint. Different from BLF‐based constraint consensus tracking control, a novel approach based on nonlinear state‐dependent function is proposed to solve the asymmetric output constraint, which need not convert output constraint into tracking error bound. First‐order sliding mode differentiator is incorporated into each step of backstepping control design to reduce computation burden. Further, in combination of proposed event‐triggered mechanism based on time‐varying threshold, a distributed fuzzy adaptive event‐triggered finite‐time consensus method is developed. It can ensure that the consensus tracking error tends to a small neighbor in a finite time and the asymmetric output constraint of each subsystem is not violated. Two simulations are given to demonstrate the effectiveness of control method.

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Finite-time Consensus for Multi-agent Systems via Nonlinear Control Protocols

Cited by 21 publications

References 16 publications

Stochastic Hybrid Dynamic Multicultural Social Networks

Stochastic Hybrid Dynamic Multicultural Social Networks

Deterministic Multicultural Dynamic Networks: Seeking a Balance between Attractive and Repulsive Forces

Distributed fuzzy adaptive event‐triggered finite‐time consensus tracking control for uncertain nonlinear multi‐agent systems with asymmetric output constraint

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