Open AccessExponential stabilisation of positive singular linear discrete‐time delay systems with bounded control
Author(s) -
Ngoc Phat Vu,
Huu Sau Nguyen
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5150
Subject(s) - control theory (sociology) , bounded function , exponential function , mathematics , linear system , control (management) , exponential stability , computer science , nonlinear system , mathematical analysis , physics , artificial intelligence , quantum mechanics
Inspired by the results obtained in Liu et al . (2008, 2009), this study extends the constrained control problem to singular linear positive discrete‐time systems with delay. By using the singular value decomposition approach, delay‐dependent sufficient conditions for the regularity, causality, positivity and exponential stabilisation with a given decay rate of the system are established in terms of linear programming problem. A numerical example to demonstrate the effectiveness of the proposed method is given.