Mathematical Control Theory

By H. Freud. 2016

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Review on computational methods for Lyapunov functions (2015, background): “For a more detailed discussion on control systems we refer to Sontag 1998 [211] and the references therein.”
A low-complexity global approximation-free control scheme with prescribed performance for unknown pure feedback systems (2014, unknown): “Definition 1 ((Sontag, 1998)).”
Characterization by observability inequalities of controllability and stabilization properties (2018, background): “, [49]) and that, when (S(t))t>0 is a group, exact null controllability in some time T implies complete stabilizability (see [41]) and the converse is true (see [49]).”
Training Schrödinger’s cat: quantum optimal control (2015, background): “, [100, 109]) and reviewed in sections 3 to 5 below, are based on powerful tools from mathematical control theory [61, 85, 191, 213, 241, 321, 390].”
Data Assimilation: A Mathematical Introduction (2015, background): “For the subject of control theory the reader is directed to [121], which has a particularly good exposition of the linear theory, and [104] for the nonlinear setting.”