Title
Reachable set bounding for linear systems with mixed delays and state constraints
Abstract
This paper studies the reachable set estimation for systems with mixed delays and state constraints. Firstly, by constructing an appropriate maximal Lyapunov-Krasovskii functional, combined with the wirtinger-based integral inequality and the extended reciprocally convex combination method, we derive a new criterion about reachable set estimation which reduces the related decision variables without increasing the computational burden. Then, the results are extended to polytopic uncertainties systems and we consider the condition of uncertain differentiable parameters. Three examples are presented to demonstrate the validity of our theorems.
Year
DOI
Venue
2022
10.1016/j.amc.2022.127085
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Reachable set, Lyapunov-Krasovskii functional, Mixed delays systems
Journal
425
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Ruihan Chen100.34
Moxuan Guo200.34
Song Zhu300.68
Yongqiang Qi400.34
Min Wang57627.77
Junhao Hu6436.66