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Article: Probability rate optimization of positive Markov jump linear systems via DC programming
| Title | Probability rate optimization of positive Markov jump linear systems via DC programming |
|---|---|
| Authors | |
| Keywords | DC programming Markov process positive linear systems transition probability rate design |
| Issue Date | 14-Apr-2024 |
| Publisher | Wiley |
| Citation | Asian Journal of Control, 2024 How to Cite? |
| Abstract | We 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. |
| Persistent Identifier | http://hdl.handle.net/10722/346219 |
| ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 0.677 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Zhao, Chengyan | - |
| dc.contributor.author | Zhu, Bohao | - |
| dc.contributor.author | Ogura, Masaki | - |
| dc.contributor.author | Lam, James | - |
| dc.date.accessioned | 2024-09-12T00:30:55Z | - |
| dc.date.available | 2024-09-12T00:30:55Z | - |
| dc.date.issued | 2024-04-14 | - |
| dc.identifier.citation | Asian Journal of Control, 2024 | - |
| dc.identifier.issn | 1561-8625 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/346219 | - |
| dc.description.abstract | <p>We 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.</p> | - |
| dc.language | eng | - |
| dc.publisher | Wiley | - |
| dc.relation.ispartof | Asian Journal of Control | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | DC programming | - |
| dc.subject | Markov process | - |
| dc.subject | positive linear systems | - |
| dc.subject | transition probability rate design | - |
| dc.title | Probability rate optimization of positive Markov jump linear systems via DC programming | - |
| dc.type | Article | - |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1002/asjc.3364 | - |
| dc.identifier.scopus | eid_2-s2.0-85190816591 | - |
| dc.identifier.eissn | 1934-6093 | - |
| dc.identifier.issnl | 1561-8625 | - |