Abstract
In this short communication, an algorithm for efficiently solving a sparse matrix equation, which arises frequently in the field of distributed control and estimation theory, is proposed. The efficient algorithm stems from the fact that the sparse equation at hand can be reduced to a system of linear equations. The proposed algorithm is shown to require significantly fewer floating point operations than the state-of-the-art solution. The proposed solution is applied to a real-life example, which models a wide range of industrial processes. The experimental results show that the solution put forward allows for a significant increase in efficiency in relation to the state-of-the-art solution. The significant increase in efficiency of the presented algorithm allows for a valuable widening of the applications of distributed estimation and control.
| Original language | English |
|---|---|
| Article number | 1497 |
| Number of pages | 7 |
| Journal | Mathematics |
| Volume | 9 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 1 Jul 2021 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Funding
Funding: This work was supported by the Fundação para a Ciência e a Tecnologia (FCT) through LARSyS - FCT Project UIDB/50009/2020 and through the FCT project DECENTER [LISBOA-01-0145-FEDER-029605], funded by the Programa Operacional Regional de Lisboa 2020 and PIDDAC programs.
| Funders | Funder number |
|---|---|
| Portuguese Fundação para a Ciência e a Tecnologia | UIDB/50009/2020, LISBOA-01-0145-FEDER-029605 |
Keywords
- Distributed control
- Distributed estimation
- Sparse matrix
- Sparse matrix equation
- Sparsity constraint