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A delay-partitioning approach to the stability analysis of discrete-time systems
- Source :
-
Automatica . Mar2010, Vol. 46 Issue 3, p610-614. 5p. - Publication Year :
- 2010
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00051098
- Volume :
- 46
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Automatica
- Publication Type :
- Academic Journal
- Accession number :
- 48472239
- Full Text :
- https://doi.org/10.1016/j.automatica.2009.12.004