The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
An integral inequality in the stability problem of time-delay systems
Abstract
An integral inequality is derived, and applied to the stability problem of time-delay systems using discretized Lyapunov functional formulation. As the result, a simpler stability criterion is derived.
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Citations
Cites
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
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
Interior-Point Polynomial Algorithms in Convex Programming
Nesterov, Y., & Nemirovskii, A. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970791 · Cited by 4,334
Stability of some linear systems with delays
Kolmanovskii, V. B., & Richard, J.-P. (1999) · IEEE Transactions on Automatic Control · doi:10.1109/9.763213 · Cited by 315
Robust stability analysis of time delay systems: A survey
Kharitonov, V. L. (1999) · Annual Reviews in Control · doi:10.1016/s1367-5788(99)90087-1 · Cited by 261
Additional dynamics in transformed time-delay systems
Gu, K., & Niculescu, S. (2000) · IEEE Transactions on Automatic Control · doi:10.1109/9.847747 · Cited by 232
Self-citationStability and robust stability of time-delay systems: A guided tour
Niculescu, S.-I., Verriest, E. I., Dugard, L., & Dion, J.-M. (2005) · Lecture Notes in Control and Information Sciences · doi:10.1007/bfb0027479 · Cited by 214
On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems
Kolmanovskii, V. B. (1999) · International Journal of Control · doi:10.1080/002071799221172 · Cited by 200
Generalization of Liapunov's theorem in a linear delay system
Huang, W. (1989) · Journal of Mathematical Analysis and Applications · doi:10.1016/0022-247x(89)90166-2 · Cited by 149
Delay effects on stability: a survey
Kolmanovskii, V. B., Niculescu, S., & Gu, K. (2003) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.1999.830931 · Cited by 114
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Cited by
Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling
Shen, B., Wang, Z., & Liu, X. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2190179 · Cited by 300
Circuit design and exponential stabilization of memristive neural networks
Wen, S., Huang, T., Zeng, Z., Chen, Y., & Li, P. (2015) · Neural Networks · doi:10.1016/j.neunet.2014.10.011 · Cited by 178
Metadata
- Authors
- Gu, K.
- Venue
- Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)
- Publisher
- IEEE
- Published
- 2002-11-11
- Volume
- 3
- Pages
- 2805-2810
- ISSN
- 0191-2216 (ISSN-L)
- OpenAlex
- W1880793639
- Cited by
- 1,543
- References
- 12
- FWCI
- 15.08
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Gu, K. (2002). An integral inequality in the stability problem of time-delay systems. Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187). https://doi.org/10.1109/cdc.2000.914233
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
