The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
Abstract
A Razumikhin-type theorem that guarantees input-to-state stability for functional differential equations with disturbances is established using the nonlinear small-gain theorem. The result is used to show that input-to-state stabilizability for nonlinear finite-dimensional control systems is robust, in an appropriate sense, to small time delays at the input. Also, relaxed Razumikhin-type conditions guaranteeing global asymptotic stability for differential difference equations are given.
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Citations
Cites
Introduction to Functional Differential Equations
Hale, J. K., & Lunel, S. M. V. (1993) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-4342-7 · Cited by 8,367
Smooth stabilization implies coprime factorization
Sontag, E. D. (1989) · IEEE Transactions on Automatic Control · doi:10.1109/9.28018 · Cited by 2,717
Small-gain theorem for ISS systems and applications
Jiang, Z. P., Teel, A. R., & Praly, L. (1994) · Mathematics of Control, Signals, and Systems · doi:10.1007/bf01211469 · Cited by 1,366
Self-citationNew characterizations of input-to-state stability
Sontag, E. D., & Wang, Y. (1996) · IEEE Transactions on Automatic Control · doi:10.1109/9.536498 · Cited by 871
Stability and Robustness of Multivariable Feedback Systems
Safonov, M. G. (1980) · The MIT Press eBooks · doi:10.7551/mitpress/6428.001.0001 · Cited by 580
Further facts about input to state stabilization
Sontag, E. D. (1990) · IEEE Transactions on Automatic Control · doi:10.1109/9.52307 · Cited by 389
Singular perturbations and input-to-state stability
Christofides, P. D., & Teel, A. R. (1996) · IEEE Transactions on Automatic Control · doi:10.1109/9.544001 · Cited by 166
Self-citationCoron, J., Praly, L., & Teel, A. R. (1995) · Springer eBooks · doi:10.1007/978-1-4471-3061-1_10 · Cited by 89
Self-citation
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
Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems
Krstic, M. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2009.2034923 · Cited by 393
Backstepping Design for Time-Delay Nonlinear Systems
Mazenc, F., & Bliman, P.-A. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.861701 · Cited by 287
Global Asymptotic Stabilization of Feedforward Systems With Delay in the Input
Mazenc, F., Mondie, S., & Francisco, R. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.828313 · Cited by 257
Compensation of state-dependent input delay for nonlinear systems
Bekiaris-Liberis, N., & Krstic, M. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2208294 · Cited by 229
Metadata
- Authors
- Teel, A. R.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1998-07
- Volume
- 43
- Issue
- 7
- Pages
- 960-964
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2027526023
- Cited by
- 451
- References
- 8
- FWCI
- 7.70
- Type
- journal article
- Language
- en
- Open access
- closed
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