Analysis of smart thermostat thermal models for residential building

DOI10.1016/j.apm.2022.05.041zbMath1505.49029OpenAlexW4281626481MaRDI QIDQ2110019

Yanyan Li

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.05.041

zbMATH Keywords

parameter estimationordinary differential equationsmachine learninguncertainty quantificationconstrained quadratic optimizationthermal building models

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Optimality conditions for problems involving ordinary differential equations (49K15) Problems with incomplete information (optimization) (49N30)

Uses Software

• Schittkowski
• Optimization Toolbox

Cites Work

• Parameter estimation in stochastic grey-box models.
• Numerical data fitting in dynamical systems. A practical introduction with applications and software. With CD-ROM
• A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models
• Dynamic data analysis. Modeling data with differential equations
• Ordinary Differential Equations and Dynamical Systems
• An Abstract Framework for Elliptic Inverse Problems: Part 1. An Output Least-Squares Approach
• Trust Region Methods
• A Convex Optimization Framework for the Inverse Problem of Identifying a Random Parameter in a Stochastic Partial Differential Equation
• Gradient-based estimation of uncertain parameters for elliptic partial differential equations
• Random Ordinary Differential Equations and Their Numerical Solution

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