Abstract
This paper considers the issue of delay-dependent exponential stability for time-delay systems. Both nominal and uncertain systems are investigated. New sufficient conditions in terms of linear matrix inequalities (LMIs) are obtained. These criteria are simple owing to the use of an integral inequality. The model transformation approaches, bounding techniques for cross terms and slack matrices are all avoided in the derivation. Rigorous proof and numerical examples showed that the proposed criteria and those based on introducing slack matrices are equivalent.
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Project (Nos. 60434020 and 60604003) supported by the National Natural Science Foundation of China
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Chen, Y., Xue, Ak., Ge, M. et al. On exponential stability for systems with state delays. J. Zhejiang Univ. - Sci. A 8, 1296–1303 (2007). https://doi.org/10.1631/jzus.2007.A1296
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DOI: https://doi.org/10.1631/jzus.2007.A1296
Key words
- Exponential stability
- Uncertain time-delay systems
- Integral inequality
- Slack matrix
- Linear matrix inequality (LMI)