The Zero Dynamics of Nonlinear Stochastic Systems: Stabilisation and Output Tracking in the Ideal Case

A Mellone, G Scarciotti - IFAC-PapersOnLine, 2020 - Elsevier
This paper introduces the notion of zero dynamics and presents results of local stabilisation
and output tracking for single-input single-output nonlinear stochastic systems described by …

Stochastic Relative Degree and Path-Wise Control of Nonlinear Stochastic Systems

A Mellone, G Scarciotti - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, we address the path-wise control of systems described by a set of nonlinear
stochastic differential equations. For this class of systems, we introduce a notion of …

A note on the Itô and Stratonovich stochastic relative degree and normal form

A Mellone, G Scarciotti - 2020 59th IEEE Conference on …, 2020 - ieeexplore.ieee.org
In this note we compare two notions of stochastic relative degree. Specifically, we consider
nonlinear stochastic systems defined by the same stochastic differential equation and …

[PDF][PDF] Path-wise control of stochastic systems: overcoming the curse of causality

A Mellone - 2021 - core.ac.uk
In this thesis we address the topic of path-wise control of stochastic systems defined by
stochastic differential equations. By path-wise control we mean that the controller's decisions …