Mathematics (Dec 2022)

An Uncertain Sandwich Impulsive Control System with Impulsive Time Windows

  • Huafei Chen,
  • Jia Chen,
  • Dan Qu,
  • Kelin Li,
  • Fei Luo

DOI
https://doi.org/10.3390/math10244708
Journal volume & issue
Vol. 10, no. 24
p. 4708

Abstract

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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