By Felisa J. Vázquez-Abad (auth.), R. Boel, G. Stremersch (eds.)

ISBN-10: 1461370256

ISBN-13: 9781461370253

ISBN-10: 1461544939

ISBN-13: 9781461544937

*Discrete occasion structures: research and Control* is the court cases of WODES2000 (the fifth Workshop on Discrete occasion structures, held in Ghent, Belgium, on August 21-23, 2000). This ebook presents a survey of the present cutting-edge within the box of modeling, research and keep an eye on synthesis of discrete occasion structures, lecture notes for a mini direction on sensitivity research for functionality overview of timed discrete occasion platforms, and forty eight rigorously chosen papers overlaying all components of discrete occasion idea and crucial functions domain names. issues comprise automata conception and supervisory regulate (12); Petri internet established types for discrete occasion structures, and their regulate synthesis (11); (max,+) and timed automata types (9); purposes papers relating to scheduling, failure detection, and implementation of supervisory controllers (7); formal description of PLCs (6); and eventually, stochastic types of discrete occasion structures (3).

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**Sample text**

Symbolic abstractions of Automata 45 4. ABSTRACTION BY RESTRICTION This abstraction aims to simplify the model by disallowing some behaviors. A naive approach would consist in modifying the structure of the automata by removing either a set of events or a set of states. Restriction methods are useful to prove "incorrectness" of systems : indeed, when a less general system is shown to violate some safety property, so does the more general one. A first and standard approach consists in modifying the structure of the automata by removing either states or transitions that are labeled by some fixed events.

Springer-Verlag. i nf. de Keywords: automata networks, Kronecker representation, equivalence, reachability analysis, ordered natural decision diagrams Abstract We propose a compositional approach to handle complex and large systems described as a network of synchronized components. The approach combines and extends known techniques including Kronecker representations, bisimulation equivalences and decision diagrams in order to explore and represent extremely large state spaces. Introduction Functional analysis of hardware and software systems is often based on finite transition systems and requires the generation of the set of all reachable states.

A FUSION CRITERION Given a symbolic canonical surjection (see Definition 1), we explain how one can define the associated quotient ILTS. Definition 1 Assume given an (n,m)-ILTS 8 = (X,X', Y,I, T) where X = {Xl, ... , X n }. t. a set of '1" fresh variables Z = {Zl, ... ,Zt} whenever (1) l ~ n, (2) ¢ E Z/ pZ[X, Z], and (3) for all x E (Z/ pZ)n, ¢(x, Z) = 0 has a unique solution. • By Definition 1, 8ol(¢) ~ (Z/pZn) X (Z/pZl) , and because of (3), 8ol(¢) defines a surjective mapping from (Z/ pZ)n to (Z/ pZ)l.

### Discrete Event Systems: Analysis and Control by Felisa J. Vázquez-Abad (auth.), R. Boel, G. Stremersch (eds.)

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