Abstract
• Stability of impulsive systems with infinite distributed delay is studied via flexible impulse frequency. • The proposed results can be applied to engineering systems with irregular impulses. • A relationship between high impulse frequency and low impulse frequency is established. This paper investigates the global exponential stability of impulsive systems with infinite distributed delay. By introducing two auxiliary functions and two essential lemmas, some sufficient conditions of stability are presented based on flexible impulse frequency, where impulses are considered as perturbations. When the interval between two consecutive impulse times is very small in some time domains, our result just asks that it meets our proposed conditions, which is different from some exist results. The effectiveness of our result is demonstrated through Two simulation examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
