Controllability of a Class of Heterogeneous Networked Systems
This paper examines the controllability of a class of heterogeneous networked systems where the nodes are linear time-invariant systems (LTI), and the network topology is triangularizable. The literature contains necessary and sufficient conditions for the controllability of such systems where the c...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-04-01
|
| Series: | Foundations |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2673-9321/3/2/15 |
| _version_ | 1797594769466064896 |
|---|---|
| author | Abhijith Ajayakumar Raju K. George |
| author_facet | Abhijith Ajayakumar Raju K. George |
| author_sort | Abhijith Ajayakumar |
| collection | DOAJ |
| description | This paper examines the controllability of a class of heterogeneous networked systems where the nodes are linear time-invariant systems (LTI), and the network topology is triangularizable. The literature contains necessary and sufficient conditions for the controllability of such systems where the control input matrices are identical in each node. Here, we extend this result to a class of heterogeneous systems where the control input matrices are distinct in each node. Additionally, we discuss the controllability of a more general system with triangular network topology and obtain necessary and sufficient conditions for controllability. Theoretical results are supplemented with numerical examples. |
| first_indexed | 2024-03-11T02:28:13Z |
| format | Article |
| id | doaj.art-fcfb17a4fc7a4cafa9de14dba2b3980d |
| institution | Directory Open Access Journal |
| issn | 2673-9321 |
| language | English |
| last_indexed | 2024-03-11T02:28:13Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Foundations |
| spelling | doaj.art-fcfb17a4fc7a4cafa9de14dba2b3980d2023-11-18T10:28:50ZengMDPI AGFoundations2673-93212023-04-013216718010.3390/foundations3020015Controllability of a Class of Heterogeneous Networked SystemsAbhijith Ajayakumar0Raju K. George1Department of Mathematics, Indian Institute of Space Science and Technology, Valiyamala, Thiruvananthapuram 695547, Kerala, IndiaDepartment of Mathematics, Indian Institute of Space Science and Technology, Valiyamala, Thiruvananthapuram 695547, Kerala, IndiaThis paper examines the controllability of a class of heterogeneous networked systems where the nodes are linear time-invariant systems (LTI), and the network topology is triangularizable. The literature contains necessary and sufficient conditions for the controllability of such systems where the control input matrices are identical in each node. Here, we extend this result to a class of heterogeneous systems where the control input matrices are distinct in each node. Additionally, we discuss the controllability of a more general system with triangular network topology and obtain necessary and sufficient conditions for controllability. Theoretical results are supplemented with numerical examples.https://www.mdpi.com/2673-9321/3/2/15controllabilityheterogeneous dynamicsnetworked control systems |
| spellingShingle | Abhijith Ajayakumar Raju K. George Controllability of a Class of Heterogeneous Networked Systems Foundations controllability heterogeneous dynamics networked control systems |
| title | Controllability of a Class of Heterogeneous Networked Systems |
| title_full | Controllability of a Class of Heterogeneous Networked Systems |
| title_fullStr | Controllability of a Class of Heterogeneous Networked Systems |
| title_full_unstemmed | Controllability of a Class of Heterogeneous Networked Systems |
| title_short | Controllability of a Class of Heterogeneous Networked Systems |
| title_sort | controllability of a class of heterogeneous networked systems |
| topic | controllability heterogeneous dynamics networked control systems |
| url | https://www.mdpi.com/2673-9321/3/2/15 |
| work_keys_str_mv | AT abhijithajayakumar controllabilityofaclassofheterogeneousnetworkedsystems AT rajukgeorge controllabilityofaclassofheterogeneousnetworkedsystems |