Abstract

This paper deals with strongly absolute stability of Lur'e-type discrete-time descriptor systems. The nonlinearities in the system considered here are both sector and slope restricted. By using Lyapunov stability theory and linear matrix inequality (LMI), we derive LMI based nonstrict sufficient conditions for strongly absolute stability. Furthermore, we reduce nonstrict conditions to strict LMI based algorithms without any conservatism. Finally, a numerical example is given to illustrate the effectiveness of our method.

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 call

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.