Robust Stability of Delayed Neutral Systems With Nonlinear Terms of Gradient Type
Abstract
We prove global attractivity of the origin for a broad class of continuous-time nonlinear neutral systems that can contain several delays. We impose a gradient type condition. We cover systems whose uncertain nonlinearities can contain distributed delays.
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Introduction to Time-Delay Systems
Fridman, E. (2014) · Systems & control · doi:10.1007/978-3-319-09393-2 · Cited by 1,123 · see citing works
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 · see citing works
On delay-dependent stability for linear neutral systems
Ivănescu, D., Niculescu, S., Luc Dugard, A., Dion, J., & Verriest, E. I. (2003) · Automatica · doi:10.1016/s0005-1098(02)00227-3 · Cited by 121 · see citing works
Stability analysis and observer design for neutral delay systems
Wang, Z., Lam, J., & Burnham, K. J. (2002) · IEEE Transactions on Automatic Control · doi:10.1109/9.989144 · Cited by 109 · see citing works
A remark on the converging-input converging-state property
Sontag, E. D. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2002.808490 · Cited by 87 · see citing works
Exponential estimates for neutral time-delay systems: an LMI approach
Kharitonov, V. L., Mondié, S., & Collado, J. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.846595 · Cited by 86 · see citing works
Rakkiyappan, R., Balasubramaniam, P., & Krishnasamy, R. (2010) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2010.10.011 · Cited by 55 · see citing works
Boussaada, I., Mazanti, G., & Niculescu, S. (2022) · Comptes Rendus Mathématique · doi:10.5802/crmath.293 · Cited by 48 · see citing works
Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis
Bonnet, C., Fioravanti, A. R., & Partington, J. R. (2011) · SIAM Journal on Control and Optimization · doi:10.1137/090776275 · Cited by 45 · see citing works
Stability Analysis of Time-Varying Neutral Time-Delay Systems
Mazenc, F. (2014) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2014.2342095 · Cited by 44 · see citing works
Self-citationMazenc, F., Malisoff, M. A., & Niculescu, S. (2017) · SIAM Journal on Control and Optimization · doi:10.1137/15m1027838 · Cited by 43 · see citing works
Self-citationPepe, P., Karafyllis, I., & Jiang, Z. (2017) · Systems & Control Letters · doi:10.1016/j.sysconle.2017.01.008 · Cited by 36 · see citing works
Nekhoroshikh, A. N., Efimov, D. V., Fridman, E., Perruquetti, W., Борисович, Ф. И., & Polyakov, A. (2022) · Automatica · doi:10.1016/j.automatica.2022.110455 · Cited by 21 · see citing works
Lyapunov Technique and Backstepping for Nonlinear Neutral Systems
Mazenc, F., & Ito, H. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2206709 · Cited by 18 · see citing works
Self-citationStability, attraction domains, and ultimate boundedness for nonlinear neutral systems
Tchangani, A. P., Dambrine, M., & Richard, J. (1998) · Mathematics and Computers in Simulation · doi:10.1016/s0378-4754(97)00108-0 · Cited by 16 · see citing works
Lyapunov criteria for stability in Lp norm of special neutral systems
Pepe, P., & Verriest, E. I. (2011) · Automatica · doi:10.1016/j.automatica.2011.09.040 · Cited by 13 · see citing works
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Research works printed but not linked: 1
- Khalil, 2002, Nonlinear Systems
Cited by
Still being checked.
- Authors
- Mazenc, F., & Malisoff, M.
- Affiliations
- INRIA, EPI, DISCO, L2S, CNRS, CentraleSupélec
- Louisiana State University (US)
- Venue
- IEEE Control Systems Letters
- Published
- 2026
- Volume
- 10
- Pages
- 2401-2406
- ISSN
- 2475-1456 (ISSN-L)
- OpenAlex
- W7201876300
- Cited by
- 0
- References
- 16
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- IEEE Control Systems Letters (publishedVersion)
- Funders
- U.S. National Science Foundation Division of Mathematical Sciences (DMS) Applied Mathematics (2308282)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Computer Science › Computer Networks and Communications › Neural Networks Stability and Synchronization
- Physical Sciences › Mathematics › Applied Mathematics › Nonlinear Differential Equations Analysis
- Keywords
- robust stability, neutral systems, time delay, nonlinear neutral differential equations
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