We present new results regarding the stability properties of a stochastic nonlinear quadratic system (NLQS). The paper extends to the stochastic context a previous work concerning the domain of attraction (DA) of the zero equilibrium point of a nonlinear quadratic system. A stabilizing control law is designed by considering the concept of (Ω,α) stability in probability. The devised procedure requires the solution of a convex optimization problem. An example based on a stochastic epidemic model illustrates how to implement the developed approach.

Guaranteed Region of Attraction of Stochastic Nonlinear Quadratic Systems

Tartaglione, Gaetano
;
Montefusco, Francesco;Ariola, Marco;
2024-01-01

Abstract

We present new results regarding the stability properties of a stochastic nonlinear quadratic system (NLQS). The paper extends to the stochastic context a previous work concerning the domain of attraction (DA) of the zero equilibrium point of a nonlinear quadratic system. A stabilizing control law is designed by considering the concept of (Ω,α) stability in probability. The devised procedure requires the solution of a convex optimization problem. An example based on a stochastic epidemic model illustrates how to implement the developed approach.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11367/137336
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