- 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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