Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme

For complex dynamic networks subject to switching topologies, an H∞ event-triggered control scheme is developed to deal with the finite-time synchronization problem. A semi-Markov process is employed to govern the switching of the networks topologies. The purpose focuses on designing a controller vi...

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Published inApplied mathematics and computation Vol. 356; pp. 235 - 251
Main Authors Wang, Jing, Ru, Tingting, Xia, Jianwei, Wei, Yunliang, Wang, Zhen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2019
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Abstract For complex dynamic networks subject to switching topologies, an H∞ event-triggered control scheme is developed to deal with the finite-time synchronization problem. A semi-Markov process is employed to govern the switching of the networks topologies. The purpose focuses on designing a controller via the event-triggered scheme, which guarantees that the resulting error networks are finite-time bounded with a prescribed level of the H∞ performance. By utilizing the stochastic analysis theory and finite-time synchronization concept, some sufficient conditions are deduced to determine whether the desired controller will exist or not for the complex dynamic networks. Eventually, an illustrated example is proposed to explain the validity and practicability of this method.
AbstractList For complex dynamic networks subject to switching topologies, an H∞ event-triggered control scheme is developed to deal with the finite-time synchronization problem. A semi-Markov process is employed to govern the switching of the networks topologies. The purpose focuses on designing a controller via the event-triggered scheme, which guarantees that the resulting error networks are finite-time bounded with a prescribed level of the H∞ performance. By utilizing the stochastic analysis theory and finite-time synchronization concept, some sufficient conditions are deduced to determine whether the desired controller will exist or not for the complex dynamic networks. Eventually, an illustrated example is proposed to explain the validity and practicability of this method.
Author Ru, Tingting
Wei, Yunliang
Xia, Jianwei
Wang, Jing
Wang, Zhen
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Keywords Finite-time H∞ synchronization control
Complex dynamic networks
Semi-Markov jump topology
Event-triggered scheme
Language English
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Snippet For complex dynamic networks subject to switching topologies, an H∞ event-triggered control scheme is developed to deal with the finite-time synchronization...
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StartPage 235
SubjectTerms Complex dynamic networks
Event-triggered scheme
Finite-time H∞ synchronization control
Semi-Markov jump topology
Title Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme
URI https://dx.doi.org/10.1016/j.amc.2019.03.037
Volume 356
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