Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs
Joint Authors
Chen, Hao
Kang, Wei
Shi, Kaibo
Cheng, Jun
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs.
Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system.
The main advantage of this paper lies in two aspects: first, the initial state vectors are not necessarily zero; second, the obtained criteria in this paper do not really require all the symmetric matrices involved in the employed Lyapunov-Krasovskii functional to be positive definite.
Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.
American Psychological Association (APA)
Kang, Wei& Chen, Hao& Shi, Kaibo& Cheng, Jun. 2018. Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136608
Modern Language Association (MLA)
Kang, Wei…[et al.]. Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1136608
American Medical Association (AMA)
Kang, Wei& Chen, Hao& Shi, Kaibo& Cheng, Jun. Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1136608
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136608