Petersen, Ian R.2026-06-132026-06-1397804431408089780443140815ORCID:/0000-0003-4856-9450/work/217153027https://hdl.handle.net/1885/733811371This article provides a brief introduction to the area of quantum control theory. The article discusses different models used in quantum control theory including Schroedinger equation models, master equation models, stochastic master equation models, linear quantum stochastic differential equation models and bilinear quantum stochastic differential equation models. The article also discusses different types of quantum control including open loop quantum control, measurement based quantum feedback control and coherent quantum feedback control. The article also discusses problems related to quantum control including quantum filtering, quantum realization theory, quantum system identification and quantum tomography.enPublisher Copyright: © 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.Master equationQuantum controlQuantum filteringQuantum Kalman decompositionQuantum Linear SystemsQuantum stochastic differential equationsQuantum system identificationQuantum systemsQuantum tomographySchroedinger equation2025-01-0110.1016/B978-0-443-14081-5.00021-0105028846791