Abstract
Given a large-scale stochastic system described by a number of subsystems, we introduce the corresponding isolated subsystems. It is shown that the exponential stability of the isolated systems implies the exponential stability of the large-scale system under some hypotheses added on the interconnected terms. We also study a slightly special case where the large-scale system is described in a hierarchical form, i.e., the system consists of several subsystems and each subsystem interacts only with ‘lower’ subsystems but not with ‘higher’ subsystems.
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.