Open and closed-loop stochastic dynamics of a class of nonlinear chemical processes with multiplicative noise

Baratti, Roberto
Member of the Collaboration Group
;
Tronci, Stefania
Member of the Collaboration Group
;
2018

Abstract

The open and closed-loop global state probability density function behavior of a class of single-state nonlinear chemical processes subjected to additive and multiplicative white noises is characterized with analytic formulae through Fokker Planck (FP) theory, in terms of: (i) stationary state probability density function (PDF), (ii) PDF evolution along deterministic, diffusion, and escape time scales, (iii) conditions for PDF metastability along escape time scale, and (iv) dependency of PDF motion on deterministic dynamics. Comparing with noise additivity, multiplicativeness can yield similar or substantially different open-loop PDF evolution behavior. The application of control to an open-loop (possibly fragile and metastable) multimodal PDF yields a closed-loop robust monomodal PDF with mode regulation capability. The developments and findings are illustrated with numerical simulations of FP's PDE equation.
Inglese
66
108
121
14
https://www.sciencedirect.com/science/article/pii/S0959152418300465
Esperti anonimi
internazionale
scientifica
Fokker-Planck equation; Multiplicative noise; Stabilizing robust control of nonlinear uncertain systems; Stochastic metastability; Stochastic system dynamics; Control and Systems Engineering; Modeling and Simulation; Computer Science Applications1707 Computer Vision and Pattern Recognition; Industrial and Manufacturing Engineering
Baratti, Roberto; Tronci, Stefania; Schaum, Alexander; Alvarez, Jesus
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
4
reserved
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