## Abstract The robust feedback stabilization of a class of nonlinear discreteβtime systems with unknown constant stateβdelay and uncertain function of nonlinear perturbations is considered based on linear matrix inequality (LMI)βbased analysis and design procedures. In both cases of nominal and re
State feedback stabilization of uncertain linear time-delay systems: A nonlinear matrix inequality approach
β Scribed by Rajeeb Dey; Sandip Ghosh; G. Ray; A. Rakshit
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 148 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.731
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π SIMILAR VOLUMES
In this paper, robust stabilization for a class of uncertain systems with multiple time delays is considered. A procedure of controller design for the global asymptotic stabilization of such systems via linear control is provided. A numerical example is given to illustrate our main result.
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, whic