Distributed Dynamic Self-Triggered Control for Uncertain Complex Networks With Markov Switching Topologies and Random Time-Varying Delay
This paper studies the synchronization of complex networks with probabilistic interval delay and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) scheme. Employing the probability distribution information of the input time-delay, the control protocol is transformed...
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| Published in | IEEE transactions on network science and engineering Vol. 7; no. 3; pp. 1111 - 1120 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Piscataway
IEEE
01.07.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2327-4697 2334-329X |
| DOI | 10.1109/TNSE.2019.2905758 |
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| Abstract | This paper studies the synchronization of complex networks with probabilistic interval delay and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) scheme. Employing the probability distribution information of the input time-delay, the control protocol is transformed into a new rule with stochastic parameters. Also, a more general case of switching topologies, Markov switching topologies with partial information on transition rate, is discussed. By introducing a free-connection weighting matrix scheme and using the stability theory, a less conservative synchronization result is derived. It is shown by a numerical example that the DSTC method can reduce the sampling frequency apparently, and the tolerable delay upper bound can also be relaxed. In addition, continuous communication and the Zeno-behavior can be avoided. |
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| AbstractList | This paper studies the synchronization of complex networks with probabilistic interval delay and Markov switching topologies by using a novel dynamic self-triggered control (DSTC) scheme. Employing the probability distribution information of the input time-delay, the control protocol is transformed into a new rule with stochastic parameters. Also, a more general case of switching topologies, Markov switching topologies with partial information on transition rate, is discussed. By introducing a free-connection weighting matrix scheme and using the stability theory, a less conservative synchronization result is derived. It is shown by a numerical example that the DSTC method can reduce the sampling frequency apparently, and the tolerable delay upper bound can also be relaxed. In addition, continuous communication and the Zeno-behavior can be avoided. |
| Author | Cao, Jinde Tan, Xuegang Rutkowski, Leszek |
| Author_xml | – sequence: 1 givenname: Xuegang orcidid: 0000-0002-7894-105X surname: Tan fullname: Tan, Xuegang email: xgtan_sde@163.com organization: Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, School of Automation, Southeast University, Nanjing, China – sequence: 2 givenname: Jinde orcidid: 0000-0003-3133-7119 surname: Cao fullname: Cao, Jinde email: jdcao@seu.edu.cn organization: Research Center for Complex Systems and Network Sciences, and School of Mathematics, Southeast University, Nanjing, China – sequence: 3 givenname: Leszek orcidid: 0000-0001-6960-9525 surname: Rutkowski fullname: Rutkowski, Leszek email: leszek.rutkowski@iisi.pcz.pl organization: Institute of Computational Intelligence, Czestochowa University of Technology, Czestochowa, Poland |
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| SubjectTerms | complex networks Delay Delays Dynamic self-triggered control Markov processes Markov switching topologies Network topologies Network topology random delay Statistical analysis Switches Switching Synchronism Synchronization Topology Upper bounds |
| Title | Distributed Dynamic Self-Triggered Control for Uncertain Complex Networks With Markov Switching Topologies and Random Time-Varying Delay |
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