English

New Approach to General Nonlinear Discrete-Time Stochastic $H_\infty$ Control

Optimization and Control 2017-10-27 v1

Abstract

In this paper, a new approach based on convex analysis is introduced to solve the HH_\infty problem for discrete-time nonlinear stochastic systems. A stochastic version of bounded real lemma is proved and the state feedback HH_\infty control is studied. Two examples are presented to show the effectiveness of our developed theory.

Keywords

Cite

@article{arxiv.1710.09752,
  title  = {New Approach to General Nonlinear Discrete-Time Stochastic $H_\infty$ Control},
  author = {Xiangyun Lin and Tianliang Zhang and Weihai Zhang and Bor-Sen Chen},
  journal= {arXiv preprint arXiv:1710.09752},
  year   = {2017}
}

Comments

29 pages, 4 figures, 36 references

R2 v1 2026-06-22T22:26:43.662Z