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Consensus analysis via integral quadratic constraints

Khong, Sei Zhen LU ; Lovisari, Enrico LU and Rantzer, Anders LU (2014) The 21st International Symposium on Mathematical Theory of Networks and Systems
Abstract
This note proposes a unified approach to analyse linear time-invariant consensus problems via the use of integral quadratic constraints (IQCs) without recourse to loop transformations, which may cloud the inherent structural properties of the multi-agent networked systems. The main technical hindrance to using IQCs lies in the presence of the marginally stable integral action in consensus setups. It is shown that by working with conditions defined on modified signal spaces of interests and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to consensus analysis. A decentralised and scalable condition for consensus is proposed in this setting, which generalises some of... (More)
This note proposes a unified approach to analyse linear time-invariant consensus problems via the use of integral quadratic constraints (IQCs) without recourse to loop transformations, which may cloud the inherent structural properties of the multi-agent networked systems. The main technical hindrance to using IQCs lies in the presence of the marginally stable integral action in consensus setups. It is shown that by working with conditions defined on modified signal spaces of interests and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to consensus analysis. A decentralised and scalable condition for consensus is proposed in this setting, which generalises some of the existing results in the literature. (Less)
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conference name
The 21st International Symposium on Mathematical Theory of Networks and Systems
language
English
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yes
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353c806a-922a-40a7-8a99-1f199e8bf4fd (old id 4739140)
date added to LUP
2014-11-09 18:10:14
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@misc{353c806a-922a-40a7-8a99-1f199e8bf4fd,
  abstract     = {This note proposes a unified approach to analyse linear time-invariant consensus problems via the use of integral quadratic constraints (IQCs) without recourse to loop transformations, which may cloud the inherent structural properties of the multi-agent networked systems. The main technical hindrance to using IQCs lies in the presence of the marginally stable integral action in consensus setups. It is shown that by working with conditions defined on modified signal spaces of interests and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to consensus analysis. A decentralised and scalable condition for consensus is proposed in this setting, which generalises some of the existing results in the literature.},
  author       = {Khong, Sei Zhen and Lovisari, Enrico and Rantzer, Anders},
  language     = {eng},
  title        = {Consensus analysis via integral quadratic constraints},
  year         = {2014},
}