Abstract
An impulsive delay differential inequality is formulated in this paper. an estimate of the rate of decay of solutions to this inequality is obtained. It can be applied to the study of dynamical behavior of delay differential equations from the impulsive control point of view. as an application, we consider a class of impulsive control systems with time-varying delays and establish a sufficient condition to guarantee the global exponential stability. It is shown that, via proper impulsive control law, a linear delay differential system can be exponentially stabilized even if it is initially unstable. a numerical example is given to demonstrate the effectiveness of the development method. © 2012 Elsevier Ltd. All rights reserved.
Recommended Citation
X. Li and M. Bohner, "An Impulsive Delay Differential Inequality and Applications," Computers and Mathematics with Applications, vol. 64, no. 6, pp. 1875 - 1881, Elsevier, Sep 2012.
The definitive version is available at https://doi.org/10.1016/j.camwa.2012.03.013
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Global exponential stability; Impulsive control law (ICL); Impulsive differential inequality; Linear matrix inequality (LMI); Time-varying delay
International Standard Serial Number (ISSN)
0898-1221
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Sep 2012
