Advances in Difference Equations | |
LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties | |
M Rajchakit1  G Rajchakit1  | |
[1] Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiangmai, Thailand | |
关键词: robust stability and stabilization; nonlinear uncertain discrete-time systems; convex polytopic uncertainties; Lyapunov-Krasovskii functional; linear matrix inequality; | |
DOI : 10.1186/1687-1847-2012-106 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
This article addresses the robust stability for a class of nonlinear uncertain discrete-time systems with convex polytopic of uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic-type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of nonlinear uncertain discrete-time control systems is given. Numerical examples are included to illustrate the effectiveness of our results. MSC:15A09, 52A10, 74M05, 93D05.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901225275825ZK.pdf | 317KB | download |