An Uncertain Sandwich Impulsive Control System with Impulsive Time Windows

Huafei Chen, Jia Chen, Dan Qu, Kelin Li and Fei Luo ()
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Huafei Chen: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Jia Chen: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Dan Qu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Kelin Li: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Fei Luo: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

Mathematics, 2022, vol. 10, issue 24, 1-14

Abstract: In this paper, we formulate a new system, named the uncertain sandwich impulsive control system with impulsive time windows. The presented system shows that the linear entry matrix of the system is indeterminate. We first investigate the exponential stability of the considered system by linear matrix inequalities (LMIs) and inequalities techniques, then extend the considered system to a more general one and further study the stability of the general system. Finally, numerical simulations are delivered to demonstrate the effectiveness of the theoretical results.

Keywords: sandwich impulsive control system; LMIs; exponential stability criterion; impulsive time windows (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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