Abstract
This paper focuses on stability analysis for time delay system. By introducing appropriate intermediate polynomial, a new slack variable-dependent inequality involving double integrals of system state is constructed. Then, some novel delay-product types of inequality-based functions (IBFs) with respect to delay range are developed to exploit additional degrees of freedom and more system information, while avoiding superfluous matrices. By virtue of the suggested IBFs, an improved stability criterion is derived, in which the potential capacities of advanced bounding technique are adequately explored and the information on both delay and its derivative is sufficiently reflected. As a result, more desirable performance with admissible computational complexity is achieved by the proposed approach, which is demonstrated by the numerical examples.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.