Bounded switched linear swarms
In this note we prove, under general conditions, that a class of swarms, based on the swarms of mating silkworm moths, are bounded and stable. Detailed proofs are given for systems with linear dynamics and the results can be generalized to any globally asymptotically stable system which is bounded-i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-03-01
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| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186323000014 |
| _version_ | 1797753895574831104 |
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| author | Makhin Thitsa Alisa DeStefano Magnus Egerstedt Clyde Martin |
| author_facet | Makhin Thitsa Alisa DeStefano Magnus Egerstedt Clyde Martin |
| author_sort | Makhin Thitsa |
| collection | DOAJ |
| description | In this note we prove, under general conditions, that a class of swarms, based on the swarms of mating silkworm moths, are bounded and stable. Detailed proofs are given for systems with linear dynamics and the results can be generalized to any globally asymptotically stable system which is bounded-input bounded-output stable. In contrast to the classical theory of switched systems we will see that these systems are globally stable in the sense that the orbits are confined to a compact region. |
| first_indexed | 2024-03-12T17:24:30Z |
| format | Article |
| id | doaj.art-7b00bde5b6f0449987c8f339cc54ee7b |
| institution | Directory Open Access Journal |
| issn | 2773-1863 |
| language | English |
| last_indexed | 2024-03-12T17:24:30Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj.art-7b00bde5b6f0449987c8f339cc54ee7b2023-08-05T05:18:29ZengElsevierFranklin Open2773-18632023-03-012100007Bounded switched linear swarmsMakhin Thitsa0Alisa DeStefano1Magnus Egerstedt2Clyde Martin3Department of Electrical and Computer Engineering, Mercer University, Macon, GA 31207, United States of AmericaDepartment of Mathematics and Computer Science College of the Holy Cross, Worcester, MA 01610, United States of AmericaDepartment of Electrical Engineering and Computer Science Samueli School of Engineering University of California, Irvine, CA 92697, United States of AmericaDepartment of Mathematics and Statistics Texas Tech University, Lubbock, TX 79430, United States of America; Corresponding author.In this note we prove, under general conditions, that a class of swarms, based on the swarms of mating silkworm moths, are bounded and stable. Detailed proofs are given for systems with linear dynamics and the results can be generalized to any globally asymptotically stable system which is bounded-input bounded-output stable. In contrast to the classical theory of switched systems we will see that these systems are globally stable in the sense that the orbits are confined to a compact region.http://www.sciencedirect.com/science/article/pii/S2773186323000014SwarmsLinear systemsBounded orbitsStability |
| spellingShingle | Makhin Thitsa Alisa DeStefano Magnus Egerstedt Clyde Martin Bounded switched linear swarms Franklin Open Swarms Linear systems Bounded orbits Stability |
| title | Bounded switched linear swarms |
| title_full | Bounded switched linear swarms |
| title_fullStr | Bounded switched linear swarms |
| title_full_unstemmed | Bounded switched linear swarms |
| title_short | Bounded switched linear swarms |
| title_sort | bounded switched linear swarms |
| topic | Swarms Linear systems Bounded orbits Stability |
| url | http://www.sciencedirect.com/science/article/pii/S2773186323000014 |
| work_keys_str_mv | AT makhinthitsa boundedswitchedlinearswarms AT alisadestefano boundedswitchedlinearswarms AT magnusegerstedt boundedswitchedlinearswarms AT clydemartin boundedswitchedlinearswarms |