Abstract
When studying systems with delay, a particular attention is paid to such important property as their stability. In investigation of stability of systems of ODEs by the direct Lyapunov method, quadratic Lyapunov functions are widely used. For a system with delay, we suggest to use as Lyapunov functions some quadratic Lyapunov functions constructed for a system of ODEs and satisfying some restrictions on the first derivative. For such systems we find conditions which make possible to use such quadratic functions as Lyapunov functions.
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.
