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Delay-dependent stability and H ∞ control: Constant and time-varying delays
Abstract
Three main model transformations were used in the past for delay-dependent stability. Recently a new (descriptor) model transformation has been introduced. In the present paper, we compare methods under different transformations and show the advantages of the descriptor one. We obtain new delay-dependent stability conditions for systems with time-varying delays in terms of linear matrix inequalities. We also refine recent results on delay-dependent H ∞ control and extend them to the case of time-varying delays. Numerical examples illustrate the effectiveness of our method.
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Cites
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
Cited by
Active disturbance rejection control for uncertain time-delay nonlinear systems
Ran, M., Wang, Q., Dong, C., & Xie, L. (2020) · Automatica · doi:10.1016/j.automatica.2019.108692 · Cited by 136
Li, S., Alanazi, M., Abdulkader, R., Salem, M., Abdolrasol, M. G. M., Mohamed, F. A., & Alghamdi, T. A. H. (2024) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2024.109922 · Cited by 8
Li, T., Shang, P., & Diagne, M. (2026) · Automatica · doi:10.1016/j.automatica.2026.113282
Metadata
- Authors
- Fridman, E., & Shaked, U.
- Venue
- International Journal of Control
- Publisher
- Informa UK Limited
- Published
- 2003-01
- Volume
- 76
- Issue
- 1
- Pages
- 48-60
- ISSN
- 0020-7179 (ISSN-L)
- 1366-5820
- OpenAlex
- W2103774239
- Cited by
- 719
- References
- 1
- FWCI
- 73.64
- Type
- journal article
- Language
- en
- Open access
- closed
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