✦ LIBER ✦
A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems
✍ Scribed by Keqin Gu
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 114 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1049-8923
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✦ Synopsis
The stability problem of linear uncertain time-delay systems is considered using a quadratic Lyapunov functional. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. As a result, the stability condition can be written as a linear matrix inequality, which improves the estimate of stability limit over the existing approaches. A number of constraints on the parameters can be introduced to reduce the computational effort needed with some compromised accuracy. For a particular choice of constraints, the existing discretization scheme can be recovered.