Supervisory control of hybrid systems

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Local and Piecewise Affine Approaches to System Identification (2003, background): “In [83], supervisory control based on a discrete approximation of the system is studied.”
Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control - s[Book review; W. M. Haddad; V. S. Chellaboina, and S. G. Nersesov] (2007, background): “Some prominent attempts for modeling hybrid system can be found in [1]–[3].”
Impulse differential inclusions: a viability approach to hybrid systems (2002, background): “If control inputs are available, one can also define reachability controller synthesis problems, where the objective is to choose the values of the control inputs such that the run of the system never leaves the good set, [15], [10]–[14], [16].”
A Fully Automated Framework for Control of Linear Systems from Temporal Logic Specifications (2008, background): “Besides temporal logic, regular expressions represent another formalism for describing desired behaviors of real systems, as in [15].”
Temporal logic motion planning for dynamic robots (2009, background): “The motion description language [19] and the framework in [22] utilize regular languages in order to guide the construction of hybrid systems.”