Title
Finite horizon mean-field stochastic H2/H∞ control for continuous-time systems with (x,v)-dependent noise
Abstract
Stochastic H2/H∞ control of mean-field type for continuous-time systems with state- and disturbance-dependent noise is investigated in this paper. Based on a mean-field stochastic bounded real lemma (SBRL), a sufficient condition for the solvability of continuous-time mean-field H2/H∞ control is given via the solvability of coupled matrix-valued equations. In particular, for mean-field stochastic systems with state-dependent noise, a necessary and sufficient condition for the solvability of continuous-time mean-field H2/H∞ control is presented, which generalizes the previous results to the mean-field stochastic systems.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.09.011
Journal of the Franklin Institute
Field
DocType
Volume
Mathematical optimization,Bounded real lemma,Control theory,Mean field theory,Finite horizon,Mathematics
Journal
352
Issue
ISSN
Citations 
12
0016-0032
2
PageRank 
References 
Authors
0.37
10
4
Name
Order
Citations
PageRank
Lifei Ma1157.45
tianliang zhang220.37
Weihai Zhang362567.73
Bor-Sen Chen42640228.84