caa a22 4500 606204806 CHVBK 20210128101004.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s00034-014-9838-x doi (NATIONALLICENCE)springer-10.1007/s00034-014-9838-x A Novel Finite-Time Stability Criterion for Linear Discrete-Time Stochastic System with Applications toConsensus of Multi-Agent System [Elektronische Daten] [Manfeng Hu, Jinde Cao, Aihua Hu, Yongqing Yang, Yinghua Jin] This paper is concerned with the finite-time stability of linear discrete-time stochastic system with time-varying delays and its applications to the consensus problem of multi-agent system. A novel finite-time stability criterion is presented to guarantee that the state of the system does not exceed a prescribed bound during a fixed time interval using the piecewise-like delay method. Then, a corollary is derived for the case without stochastic perturbations. Numerical examples are provided to show the less conservatism and effectiveness of the proposed linear matrix inequality conditions. Finally, the stability results are directly applied to develop the finite-time consensus conditions for the linear multi-agent system with time-varying communication delays. An illustrative example is given to validate the effectiveness of the theoretical results. Springer Science+Business Media New York, 2014 Mean square finite-time stability nationallicence Linear discrete-time stochastic system nationallicence Piecewise-like delay method (PDM) nationallicence Finite-time consensus nationallicence Multi-agent system nationallicence Hu Manfeng School of Science, Jiangnan University, 214122, Wuxi, China aut Cao Jinde Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia aut Hu Aihua School of Science, Jiangnan University, 214122, Wuxi, China aut Yang Yongqing School of Science, Jiangnan University, 214122, Wuxi, China aut Jin Yinghua School of Science, Jiangnan University, 214122, Wuxi, China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/1(2015-01-01), 41-59 0278-081X 34:1<41 2015 34 34 https://doi.org/10.1007/s00034-014-9838-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9838-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hu Manfeng School of Science, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 700 1- Cao Jinde Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia aut NATIONALLICENCE 700 1- Hu Aihua School of Science, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 700 1- Yang Yongqing School of Science, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 700 1- Jin Yinghua School of Science, Jiangnan University, 214122, Wuxi, China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/1(2015-01-01), 41-59 0278-081X 34:1<41 2015 34 34