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math.OC2022★ 3 cited
Control Barrier Functions for Stochastic Systems and Safety-critical Control Designs
Yuki Nishimura, Kenta Hoshino
In recent years, the analysis of a control barrier function has received considerable attention because it is helpful for the safety-critical control required in many control appli…
math.OC2019
Non-Smooth Stochastic Lyapunov Functions With Weak Extension of Viscosity Solutions
Yuki Nishimura, Kenta Hoshino
This paper proposes a notion of viscosity weak supersolutions to build a bridge between stochastic Lyapunov stability theory and viscosity solution theory. Different from ordinary…