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Reachable Set Estimation for Discrete-Time Systems with Interval Time-Varying Delays and Bounded Disturbances

Authors :
Jiemei Zhao
Yin Sheng
Source :
Journal of Control Science and Engineering, Vol 2016 (2016)
Publication Year :
2016
Publisher :
Hindawi Limited, 2016.

Abstract

The reachable set estimation problem for discrete-time systems with delay-range-dependent and bounded disturbances is investigated. A triple-summation term, the upper bound, and the lower bound of time-varying delay are introduced into the Lyapunov function. In this case, an improved delay-range-dependent criterion is established for the addressed problem by constructing the appropriate Lyapunov functional, which guarantees that the reachable set of discrete-time systems with time-varying delay and bounded peak inputs is contained in the ellipsoid. It is worth mentioning that the initial value of the system does not need to be zero. Then, the reachable set estimation problem for time-delay systems with polytopic uncertainties is investigated. The effectiveness and the reduced conservatism of the derived results are demonstrated by an illustrative example.

Details

Language :
English
ISSN :
16875249 and 16875257
Volume :
2016
Database :
Directory of Open Access Journals
Journal :
Journal of Control Science and Engineering
Publication Type :
Academic Journal
Accession number :
edsdoj.634702082c8d4685b174a30fa95b9cd9
Document Type :
article
Full Text :
https://doi.org/10.1155/2016/5214147