Open AccessNew Stability Results of the Delay Dynamical System via a Novel Relaxed Condition
Author(s) -
Xiao Cai,
Oh-Min Kwon,
Kaibo Shi,
Kun She,
Shouming Zhong,
Yue Yu
Publication year - 2021
Publication title -
ieee access
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.587
H-Index - 127
ISSN - 2169-3536
DOI - 10.1109/access.2021.3120556
Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
This paper focuses on the asymptotic stability (AS) problem of the delay dynamical system (DDS). An improved delay-product-type functional (DPTF) strategy is applied to construct a more general Lyapunov-Krasovskii functional (LKF). This method introduces more relevant information and improves the information capacity of LKF. In addition, the definition of the conditions $V_{1} (x_{t}) $ and $V_{5} (x_{t}) $ are further relaxed, thereby developing new relaxed conditions. Then, based on the appropriate integral inequalities and the reciprocally convex combination lemma (RCCL). Finally, the feasibility of the method in this paper is verified based on two numerical examples.