Input-to-state stability of delayed systems with bounded-delay impulses-Reference-Cited by-同舟云学术

Input-to-state stability of delayed systems with bounded-delay impulses

Published:2022 Issue:2 Volume:2 Page:44-54
ISSN:2767-8946
Container-title:Mathematical Modelling and Control
language:
Short-container-title:MMC

Author:

Jiang Bangxin¹,Lou Yijun²,Lu Jianquan¹

Affiliation:

1. Department of Systems Science, School of Mathematics, Southeast University, Nanjing 210096, China

2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong, China

Abstract

<abstract><p>This paper considers the input-to-state stability (ISS) of delayed systems with bounded-delay impulses, where the delays in impulses are arbitrarily large but bounded. A novel Halanay-type inequality with delayed impulses and external inputs is proposed to deeply evaluate the effects of delayed impulses on ISS of delayed systems. Then, we obtain some delay-independent ISS criteria for the addressed delayed systems by using Lyapunov method. Particularly, by applying a new analysis technique, the current study enriches the Halanay-type inequalities and further improve the results derived in <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup>. Two illustrative examples are presented to validate theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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