Download 11th International Conference on Analysis and Optimization by Guy Cohen, Jean-Pierre Quadrat PDF

By Guy Cohen, Jean-Pierre Quadrat

The convention, coorganized through INRIA and Ecole des Mines de Paris, makes a speciality of Discrete occasion structures (DES) and is geared toward engineers, scientists and mathematicians operating within the fields of computerized regulate, Operations examine and records who're drawn to the modelling, research and optimization of DES. a variety of equipment corresponding to Automata concept, Petri nets, and so forth. are proposed to explain and examine such structures. comparability of those various mathematical techniques and the worldwide disagreement of theoretical ways with functions in production, telecommunications, parallel computing, transportation, and so on. are the targets of the convention.

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Additional info for 11th International Conference on Analysis and Optimization of Systems: Discrete Event Systems : Sophia-Antipolis, June 15-16-17, 1994

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On Automatic Control, 35(10) Oct. 1990. Nondeterministic Supervision under Partial Observations* Kemal &an Electrical & Electronics Eng. tr 1 Introduction Supervisory control problem was first formulated by Ramadge and Wonham [RW87b] where control actions for an event driven automaton consisted in blocking a subset of the so called controllable events as a function of the observed string of events. The control objective is given as a legal language defined on a finite event alphabet and control actions are chosen to disallow any deviation from the event sequences of the legal language and allow all the strings to occur within the legal language.

One example of De(L~)(x) (see [CW90]) is the following formula asserting that u p initiates a shortest trajectory from the current state (estimate) y to the target state x: De(Lik)(x) = Vy{-~CSE~(y) v Eqi(y, x) v [3z3lYs, Eqi(d~i(y, uP), z) A Rbl i (z, x, l) A {--,Eqi(s - l + 1, k(Ni) + 1) v -,Rbli(y, x, s)}]}, (6) where Eqi(s - I q- 1, k(Ni) + 1) is the COCOLOG formula meaning s < l + 1. Let CCF(L~)(x) A {Dp(Lik)(x); 1 < p < IUil}. Then the following rule substitutes the free variable x by a local target state, which must be one of the exit states x[ from Xi to Xj when ~{ is invoked at the high level.

Thus, it is unnecessary to perform the specific analysis to prove Z-(X) C L:(TB); it is sufficient to prove ~A = B, ~ B = A and ~oC = C (from which it follows that ~X = X), and to prove that ~TA = TB. Each of these checks is computationally simple, being a check on a component rather than a check on the entire system model X. Thus, we have reduced the check z(x) c C(T ) to the check Z-(X') C/~(TA) • In fact, this check fails! , states of X) starting from an initial state 1(0) and ending in a "Bad cycle", in this case from 3(1) back to itself.

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