Time-varying version of the lemma of lyapunov
| dc.contributor.author | Anderson, B. D. | en |
| dc.contributor.author | Moore, J. B. | en |
| dc.date.accessioned | 2026-01-02T21:41:13Z | |
| dc.date.available | 2026-01-02T21:41:13Z | |
| dc.date.issued | 1967 | en |
| dc.description.abstract | The lemma of Lyapunov gives the necessary and sufficient condition for the stability of a time-invariant system in terms of the existence of a positive-definite symmetric matrix. In this letter, the lemma is generalised for time-varying systems, in which it is shown that additional conditions are required for the lemma to hold. The conditions involve boundedness of certain quantities and uniform complete observability of a pair of matrixes. | en |
| dc.description.status | Peer-reviewed | en |
| dc.format.extent | 2 | en |
| dc.identifier.issn | 0013-5194 | en |
| dc.identifier.other | ORCID:/0000-0002-1493-4774/work/174739938 | en |
| dc.identifier.scopus | 3342967587 | en |
| dc.identifier.uri | https://hdl.handle.net/1885/733803113 | |
| dc.language.iso | en | en |
| dc.source | Electronics Letters | en |
| dc.title | Time-varying version of the lemma of lyapunov | en |
| dc.type | Journal article | en |
| dspace.entity.type | Publication | en |
| local.bibliographicCitation.lastpage | 294 | en |
| local.bibliographicCitation.startpage | 293 | en |
| local.contributor.affiliation | Anderson, B. D.; Department of Electrical Engineering | en |
| local.contributor.affiliation | Moore, J. B.; Department of Electrical Engineering | en |
| local.identifier.citationvolume | 3 | en |
| local.identifier.doi | 10.1049/el:19670225 | en |
| local.identifier.pure | 1689ab02-646d-4844-88b4-971ce0cc30c3 | en |
| local.identifier.url | https://www.scopus.com/pages/publications/3342967587 | en |
| local.type.status | Published | en |