✦ LIBER ✦
An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay
✍ Scribed by Vu N. Phat; Le V. Hien
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 409 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this work, in the light of the Razumikhin stability theorem combined with the Newton-Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of the time-varying delay function. The condition is presented in terms of the solution of Riccati differential equations.