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Stability of some linear systems with delays
Abstract
Asymptotic stability of a class of linear equations with arbitrary discrete and distributed delays is investigated. Both delay-independent and delay-dependent stability conditions are formulated in terms of existence of positive definite solutions to Riccati matrix equations. The approach of deriving various Riccati equations using the direct Lyapunov method is proposed.
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Citations
Cited by
Time-delay systems: an overview of some recent advances and open problems
Richard, J.-P. (2003) · Automatica · doi:10.1016/s0005-1098(03)00167-5 · Cited by 3,353
Self-citationAn integral inequality in the stability problem of time-delay systems
Gu, K. (2002) · Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) · doi:10.1109/cdc.2000.914233 · Cited by 1,543
New Lyapunov–Krasovskii functionals for stability of linear retarded and neutral type systems
Fridman, E. (2001) · Systems & Control Letters · doi:10.1016/s0167-6911(01)00114-1 · Cited by 915
Li, T., Shang, P., & Diagne, M. (2026) · Automatica · doi:10.1016/j.automatica.2026.113282
Metadata
- Authors
- Kolmanovskii, V. B., & Richard, J.-P.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1999-05
- Volume
- 44
- Issue
- 5
- Pages
- 984-989
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W1975316257
- Cited by
- 315
- References
- 0
- FWCI
- 30.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kolmanovskii, V. B., & Richard, J.-P. (1999). Stability of some linear systems with delays. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.763213
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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