Title
Some remarks on infinite horizon stochastic H2/H∞ control with (x,u,v)-dependent noise and Markov jumps
Abstract
This paper investigates the infinite horizon H2/H∞ control problem for stochastic systems with (x,u,v)-dependent noise and Markov jumps. Under the condition of exact detectability, a necessary and sufficient condition for the infinite horizon stochastic H2/H∞ control is derived in terms of four sets of coupled matrix-valued equations. The relationship between the infinite horizon H2/H∞ control and the Nash equilibrium point is discussed when disturbance does or does not enter into the diffusion term. Moreover, a heuristic iteration algorithm is proposed to solve coupled stochastic Riccati equations for the first time.
Year
DOI
Venue
2015
10.1016/j.jfranklin.2015.05.037
Journal of the Franklin Institute
Field
DocType
Volume
Heuristic,Mathematical optimization,Control theory,Markov chain,Infinite horizon,Nash equilibrium,Mathematics
Journal
352
Issue
ISSN
Citations 
10
0016-0032
0
PageRank 
References 
Authors
0.34
15
3
Name
Order
Citations
PageRank
Li Sheng112515.24
Weihai Zhang262567.73
Ming Gao3798.36