Study on stability and stabilizability of discrete-time mean-field stochastic systems
Study on stability and stabilizability of discrete-time mean-field stochastic systems
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离散时间平均场随机系统的稳定性及稳定性研究
DOI：
10.1016/j.jfranklin.2018.10.033
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发表时间：
2019-03
期刊：
影响因子：
--
通讯作者：
Yong Zhao
中科院分区：
文献类型：
--
作者：
Limin Ma;Weihai Zhang;Yong Zhao
This paper is to study the mean square stabilizability and regional stability of discrete-time mean-field stochastic systems. Firstly, a necessary and sufficient condition is presented via the spectrum of linear operator to illustrate the stabilizability of discrete-time mean-field stochastic systems.B(0,γ)-stabilizability is introduced and transformed into solving linear matrix inequalities (LMIs). Secondly,BM-stability is characterized, especially, the stabilities of circular region, sector region and annulus regions are discussed extensively. Finally, as applications, it is shown thatB(0,γ1;γ2)-stability has close relationship with the decay rate of the system state response and the Lyapunov exponent.
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DOI：
10.1016/s0076-5392(08)x6039-4
发表时间：
2012-01
期刊：
--
影响因子：
--
作者：
H. Kushner
通讯作者：
H. Kushner
DOI：
10.1109/9.863597
发表时间：
2000-06
期刊：
IEEE Trans. Autom. Control.
影响因子：
--
作者：
M. A. Rami;X. Zhou
通讯作者：
M. A. Rami;X. Zhou
影响因子：
4.1
作者：
Gang Li;Ming Chen
通讯作者：
Gang Li;Ming Chen
影响因子：
--
作者：
Y. Achdou;P. Cardaliaguet;François Delarue;A. Porretta;Filippo Santambrogio
通讯作者：
Y. Achdou;P. Cardaliaguet;François Delarue;A. Porretta;Filippo Santambrogio
影响因子：
1.8
作者：
Daniel Andersson;Boualem Djehiche
通讯作者：
Daniel Andersson;Boualem Djehiche