Bilinear Control Systems: Matrices in Action

By D. Elliott. 2009

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Training Schrödinger’s cat: quantum optimal control (2015, background): “Adapting results from classical linear control systems [191, 390] to bilinear systems with a non-switchable drift term, a rigorous Lie-framework was developed for closed systems [56, 57, 119, 188, 189, 402].”
Bootstrapping bilinear models of Simple Vehicles (2015, background): “From this the result follows easily.”
Global tracking passivity-based PI control of bilinear systems: Application to the interleaved boost and modular multilevel converters (2015, background): “There is an amount of literature devoted to the study of the intrinsic properties or to stabilization of equilibrium points for these systems, see for example Elliot (2009). However, to the best of our knowledge, there is no general result for the design of controllers that ensure global tracking of”
Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe (2022, background): “With the controlled part being linear in both the state and the control, it is an example of the wide class of bilinear control systems [154, 212, 311].”