Abstract
This paper presents a constructive method to design control inputs that almost surely globally -exponentially stabilise strict-feedback systems driven by Lévy processes, which consist of Wiener and compensated Poisson processes, at the origin. The control design is based on a recently developed Lyapunov-type theorem for the study of well-posedness and almost sure
-exponential stability of SDEs driven by Lévy processes, the backstepping method, and new Lyapunov functions.
Disclosure statement
No potential conflict of interest was reported by the author(s).