The Carleman Approximation Approach to Solve a Stochastic Nonlinear Control Problem

DOI10.1109/TAC.2010.2041611zbMath1368.93790OpenAlexW2108665999MaRDI QIDQ4978787

Gabriella Mavelli, Pasquale Palumbo

Publication date: 25 August 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2010.2041611

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Optimal stochastic control (93E20) Linear-quadratic optimal control problems (49N10)

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Polynomial-approximation-based control for nonlinear systems ⋮ Global stabilization for a class of stochastic high-order feedforward nonlinear systems via homogeneous domination approach ⋮ Quantised polynomial filtering for nonlinear systems with missing measurements ⋮ Filtering and fault detection for nonlinear systems with polynomial approximation ⋮ Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics ⋮ A stochastic optimal regulator for a class of nonlinear systems ⋮ Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers

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