Journal
AUTOMATICA
Volume 46, Issue 3, Pages 610-614Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2009.12.004
Keywords
Asymptotic stability; Discrete-time systems; Delay systems
Funding
- National Natural Science Foundation of China [60825303, 60834003]
- National Basic Research Program of China [2009CB320600]
- RGC [HKU 7031/07P]
Ask authors/readers for more resources
This paper revisits the problem of stability analysis for linear discrete-time systems with time-varying delay in the state. By utilizing the delay partitioning idea, new stability criteria are proposed in terms of linear matrix inequalities (LMIs). These conditions are developed based on a novel Lyapunov functional. In addition to delay dependence, the obtained conditions are also dependent on the partitioning size. We have also established that the conservatism of the conditions is a non-increasing function of the number of partitions. Numerical examples are given to illustrate the effectiveness and advantage of the proposed methods. (C) 2009 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available