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Fluidization constitutes a relaxation technique to study discrete event systems through a continuous approximated model, thus overcoming the state explosion problem. In this paper, the approximation of the average marking of Markovian Petri nets by the marking of the corresponding timed continuous Petri nets, under infinite-server semantics, is studied. This represents a sort of legitimization for...
A new approach of fault detection and diagnosis (FDD) for general stochastic systems in discrete-time is studied. Our work on this problem is motivated by the fact that most of the nonlinear control laws are implemented as digital controllers in reality. Different from the formulation of classical FDD problem, it is supposed that the measured information for the FDD is the probability density functions...
This work presents a procedure to construct a finite abstraction of a controlled discrete-time stochastic hybrid system. The state space and the control space of the original system are partitioned by finite lattices, according to some refinement parameters. The errors introduced by the abstraction procedure can be explicitly computed, over time, given some continuity assumptions on the original model...
Stochastic distribution control systems aims at the controller design so as to realize a shape control of the distributions of certain random variables in the process. Once the probability density functions (PDFs) of these variables are used to describe their distributions, the control task is to obtain control signals so that the output PFDs of the system are made to follow their target PDFs. In...
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