Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation
In this paper, we consider chance constrained optimization of elliptic partial differential
equation (CCPDE) systems with random parameters and constrained state variables. We …
equation (CCPDE) systems with random parameters and constrained state variables. We …
[图书][B] Optimal control of PDEs under uncertainty: an introduction with application to optimal shape design of structures
J Martínez-Frutos, FP Esparza - 2018 - books.google.com
This book provides a direct and comprehensive introduction to theoretical and numerical
concepts in the emerging field of optimal control of partial differential equations (PDEs) …
concepts in the emerging field of optimal control of partial differential equations (PDEs) …
Robust optimal control of stochastic hyperelastic materials
J Martínez-Frutos, R Ortigosa, P Pedregal… - Applied Mathematical …, 2020 - Elsevier
Soft robots are highly nonlinear systems made of deformable materials such as elastomers,
fluids and other soft matter, that often exhibit intrinsic uncertainty in their elastic responses …
fluids and other soft matter, that often exhibit intrinsic uncertainty in their elastic responses …
Ensemble Feedback Stabilization of Linear Systems
Stabilization of linear control systems with parameter-dependent system matrices is
investigated. A Riccati based feedback mechanism is proposed and analyzed. It is …
investigated. A Riccati based feedback mechanism is proposed and analyzed. It is …
A variational Crank–Nicolson ensemble Monte Carlo algorithm for a heat equation under uncertainty
C Ye, T Yao, H Bi, X Luo - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, a new fully discrete variational Crank–Nicolson ensemble (FVE/CN) scheme is
established for the heat equation with uncertainty, then a fully discrete variational Crank …
established for the heat equation with uncertainty, then a fully discrete variational Crank …
Tracking optimal feedback control under uncertain parameters
Optimal control problems of tracking type for a class of linear systems with uncertain
parameters in the dynamics are investigated. An affine tracking feedback control input is …
parameters in the dynamics are investigated. An affine tracking feedback control input is …
Analysis of RHC for stabilization of nonautonomous parabolic equations under uncertainty
Stabilization of a class of time-varying parabolic equations with uncertain input data using
receding horizon control (RHC) is investigated. The diffusion coefficient and the initial …
receding horizon control (RHC) is investigated. The diffusion coefficient and the initial …
An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs
T Yao, C Ye, X Luo, S Xiang - Numerical Algorithms, 2023 - Springer
An ensemble-based time stepping scheme is applied to solving a transient heat equation
with random Robin boundary and diffusion coefficients. By introducing two ensemble means …
with random Robin boundary and diffusion coefficients. By introducing two ensemble means …
Stabilization of uncertain linear dynamics: an offline-online strategy
A strategy is proposed for adaptive stabilization of linear systems, depending on an
uncertain parameter. Offline, the Riccati stabilizing feedback input control operators …
uncertain parameter. Offline, the Riccati stabilizing feedback input control operators …
An interval robust design optimization method and its application in heat transfer problems
WY Tian, WT Sun, BY Ni, JW Li, ZT Wu - Engineering Optimization, 2021 - Taylor & Francis
An interval robust optimization method is suggested to improve the robustness and
performance of the process or product in design. A general uncertain robust optimization …
performance of the process or product in design. A general uncertain robust optimization …