Finite horizon tracking control of probabilistic Boolean control networks. Issue 18 (December 2021)
- Record Type:
- Journal Article
- Title:
- Finite horizon tracking control of probabilistic Boolean control networks. Issue 18 (December 2021)
- Main Title:
- Finite horizon tracking control of probabilistic Boolean control networks
- Authors:
- Zhang, Qingle
Feng, Jun-e
Jiao, Ticao - Abstract:
- Abstract: In this paper, the finite horizon tracking control problem of probabilistic Boolean control networks (PBCNs) is studied. For a given reference output trajectory, two trackability definitions are introduced according to whether the tracking probability is 1. Under the framework of the semi-tensor product, some necessary and sufficient conditions are obtained to determine whether the reference output trajectory is trackable with probability (probability one) by a PBCN starting from a given initial state. Based on this, two algorithms are proposed to determine the maximum tracking probability and the corresponding optimal control policy sequence. By determining the tracking error of the reference output trajectory, two related optimal control problems are considered: one is to minimize the expected value of the total tracking error, and the other is to minimize the maximum tracking error. Inspired by dynamic programming, corresponding algorithms are given to solve these two problems. Finally, two examples are given to verify the validity and correctness of the results.
- Is Part Of:
- Journal of the Franklin Institute. Volume 358:Issue 18(2021)
- Journal:
- Journal of the Franklin Institute
- Issue:
- Volume 358:Issue 18(2021)
- Issue Display:
- Volume 358, Issue 18 (2021)
- Year:
- 2021
- Volume:
- 358
- Issue:
- 18
- Issue Sort Value:
- 2021-0358-0018-0000
- Page Start:
- 9909
- Page End:
- 9928
- Publication Date:
- 2021-12
- Subjects:
- Science -- Periodicals
Technology -- Periodicals
Patents -- United States -- Periodicals
505 - Journal URLs:
- http://www.elsevier.com/journals ↗
http://www.sciencedirect.com/science/journal/00160032 ↗ - DOI:
- 10.1016/j.jfranklin.2021.10.003 ↗
- Languages:
- English
- ISSNs:
- 0016-0032
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4755.000000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 19991.xml