Exponential stability of time‐delay systems with flexible delayed impulse
Authors:
- 8 August 2023
- journal article
- research article
- Published by Wiley in Asian Journal of Control
- Vol. 26 (1) , 265-279
Abstract
The problem of exponential stability for time‐delay systems with flexible delayed impulse control is investigated. Unlike the conventional Razumikhin‐type inequality, variable parameter based on the flexible impulsive gain is introduced. Sufficient conditions for exponential stability are developed for a class of time‐delay systems, for which the size of delay is not limited by impulsive intervals. A flexible impulse control scheme is developed by utilizing the flexible impulsive gain and time‐varying delays. When the system is disturbed by the impulse interferences, both the impulse gain and impulse delay can be adjusted accordingly to make the system exponential stable. The effectiveness of the present results is illustrated by two numerical examples and an application.Keywords
Funding Information
- Fundamental Research Funds for the Central Universities (2022JBMC029)
- National Natural Science Foundation of China (62203041)
- Natural Science Foundation of Zhejiang Province (Z23F030027)
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