Probability rate optimization of positive Markov jump linear systems via DC programming-Reference-Cited by-同舟云学术

Probability rate optimization of positive Markov jump linear systems via DC programming

Published:2024-04-14 Issue: Volume: Page:
ISSN:1561-8625
Container-title:Asian Journal of Control
language:en
Short-container-title:Asian Journal of Control

Author:

Zhao Chengyan¹^ORCID,Zhu Bohao²^ORCID,Ogura Masaki³^ORCID,Lam James²^ORCID

Affiliation:

1. Graduate School of Science and Engineering Ritsumeikan University Kusatsu Japan

2. Department of Mechanical Engineering The University of Hong Kong Hong Kong

3. Graduate School of Advanced Science and Engineering Hiroshima University Hiroshima Japan

Abstract

AbstractWe investigate the stabilization problem of positive Markov jump linear systems by optimizing their transition probability rates. By using the convex property of posynomials and the standard mathematical programming that deals with the difference in convex functions, we show that transition probability rate synthesis problems can be solved via difference‐of‐convex (DC) programming. A numerical example is used to illustrate the effectiveness of our results.

Funder

Ritsumeikan University

Japan Society for the Promotion of Science

National Aerospace Science Foundation of China

General Research Fund of Shanghai Normal University

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/asjc.3364

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