Symmetry reductions for a class of discrete-event systems

Issues related to the control and verification of isomorphic modular discrete-event systems are investigated. A finite state automaton system model is considered for the system modules where sets of atomic propositions are defined on the states. A type of symmetry is defined for these modular systems and a restriction of the μ-calculus designed for these systems is introduced. A procedure is shown to reduce the cost in computation time and memory for testing if symmetric modular systems satisfy propositions in this μ-calculus. An example of a symmetric modular UAV platoon leader system is then shown and discussed.