Abstract
In this paper, we expand the stability theory of dynamical systems on stochastic time scales to the case of stochastic pulse time scales. The class of systems considered here evolve on nonuniform time-domains that consist of a union of disjoint closed intervals with stochastic lengths, followed by random step sizes. Necessary and sufficient conditions for exponential stability almost surely are derived. The approach is based on determining the region of exponential stability almost surely. An illustrative numerical example is presented to validate the results. The class of systems considered in this paper has important applications for example, control networks subject to communications failures, population dynamics, signal processing with variable sampling, consensus multi-agents systems and wide-area power system controls.
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.
