Probabilistic ultimate bounds and invariant sets in nonlinear systems

Title: Probabilistic ultimate bounds and invariant sets in nonlinear systems
Creator: Pizzi, Noelia; Kofman, Ernesto; Edgardo Marelli, Damián; Adrian De Doná, José; Seron, Maria M.
Relation: Automatica Vol. 133, no. 109853
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2021.109853
Publisher: Elsevier
Resource Type: journal article
Date: 2021
Description: This article extends the notions of probabilistic ultimate bounds (PUB) and probabilistic invariant sets (PIS) to nonlinear continuous-time systems providing tools for their characterization and for the usage of these concepts in control design. Two design strategies are proposed that allow finding a nonlinear control law which ensures that the closed loop system is probabilistically ultimate bounded to a desired region. These strategies are based on Lyapunov and stochastic feedback linearization, respectively.
Subject: probabilistic ultimate bounds (PUB); probabilistic invariant sets (PIS); closed loop systems; feedback linearization
Identifier: http://hdl.handle.net/1959.13/1470842
Identifier: uon:48566
Identifier: ISSN:0005-1098
Language: eng
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