By A.Stephen Morse
A logic-based switching controller is one whose subsystems contain not just general dynamical parts akin to integrators, summers, profits and so on. yet event-driven common sense and linked switches in addition. In this type of process the predominantly logical part is the manager, mode changer, and so forth. there was transforming into curiosity in recent times in selecting what may be won from employing "hybrid" controllers of this kind. To this finish a workshop used to be hung on Block Island with the purpose of bringing jointly contributors to debate the examine and customary curiosity within the box. This quantity not just contains contributions from those that have been current at Block Island but in addition extra fabric from those that weren't. subject matters lined contain: hybrid dynamical platforms, regulate of hard-bound restricted and nonlinear structures, automobile difficulties related to switching regulate and approach regulate within the face of large-scale modeling error.
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Extra resources for Control Using Logic-Based Switching
Princeton University Press, 1994.  L. Lavagno, A. Sangiovanni-Vincentelli, and H. Hsieh. Models and algorithms for embedded system synthesis and validation. In G. De Micheli, editor, Nato Advanced Study Institute. Kluwer Academic Publisher, 1996.  K. McMillan. Symbolic model checking. Kluwer Academic, 1993.  A. S. Morse. Control using logic-based switching. In A. Isidori, editor, Trends in Control, pages 69-114. Springer-Verlag, 1995.  T. Murata. Petri Nets: Properties, analysis and applications.
The simplest form is a variable shared among partners. Communication can be: 1. Synchronous if the write and read operations must occur simultaneously, and 2. Asynchronous, otherwise. In this case there can be a finite or an infinite number of buffer locations, where the information is stored between the instant in which it is written and the instant in which it is read. Note that non-destructive read is generally asynchronous, and implies a buffer with a single cell (the shared variable). The standard distinctions between uni-directional and bi-directional communication, as well as between point-to-point and broadcast, are also useful for classification purposes.
In spirit, this strategy is close to the mechanisms used in formal verification to abstract away details of the behavior of the system that are inconsequential with respect to the property being tested . The decomposition need not be a partition: sometimes it is more effective to decompose the domain into overlapping regions For example, in  the inverse pendulum problem is solved by decomposing the state space of the pendulum into partially overlapping regions where the dynamics of the pendulum are approximated by ~ = c where c is a constant that depends on the region.
Control Using Logic-Based Switching by A.Stephen Morse