Abstract
A new mathematical framework is proposed for stability analysis of large-scale nonlinear discrete-time systems with delay. Such a system or process often arises in applications of pseudo-gradient and other optimization algorithms. By employing the theory of difference inequalities, a comparison theorem in the context of vector Lyapunov-like functions are developed. This comparison theorem is applied to study various stability properties of the large-scale (linear or nonlinear) discrete-time sytems with delay. An example is given to demonstrate the results.
Sign-in/Register to access full text options 
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.
