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....2 Ra ul Toral by diminishing the number of points in the integration grid. Even 2 points per integration variable is beyond the capability of any present (or future) computer. The solution to this problem is given by application of the Monte Carlo techniques (Kalos et al. 1986; Binder 1992, Heermann 1986). For our particular example, they consist in interpreting f x (X) as a probability density function of some random variable x and, consequently, the integral is nothing but the average value of the function G(X) hGi = Z dXf x (X)G(X) 1:3) The key idea behind Monte Carlo integration is to ....
Heermann 1986: Computer Simulation Methods, Springer--Verlag.
....Luigi Sangiovanni#Vincentelliy# yPARADES, Via San Pantaleo, 66, 00186 Roma, Italy, balluchi, lucab, alberto parades.rm.cnr.it zDip. di Ingegneria Elettrica, Universit#a dell Aquila, Poggio di Roio, 67040 L Aquila, Italy, dibenede giannutri.caspur.it #Dep. of Electrical Engineering and Computer Science, University of California at Berkeley, CA 94720, alberto,pinello eecs.berkeley.edu Abstract The design of engine control systems has been traditionally carried out using a mix of heuristic techniques validated by simulation and prototyping using approximate average value models. However, the ever ....
....and SGS Thomson GEIE, by CNR and by GSRC. 1 Fuel Air Mix Ignition Combustion Exhaust Management Motion Generation Figure 1: Functional decomposition of the system. 1 Introduction Hybrid systems have been the subject of intensive study in the past few years by both the control and the computer#science communities. Particular emphasis has been placed on a uni#ed representation of hybrid models rooted in rigorous mathematical foundations ##1, 2, 3, 4, 5, 6, 7##. Some classical problems such as reachability analysis ##8, 9##, stability and safety ##10, 11, 12## have been investigated and tools ....
Science. Springer-Verlag, 1997.
....Alberto Luigi Sangiovanni#Vincentelliy# yPARADES, Via San Pantaleo, 66, 00186 Roma, Italy, balluchi, lucab, alberto parades.rm.cnr.it zDip. di Ingegneria Elettrica, Universit#a dell Aquila, Poggio di Roio, 67040 L Aquila, Italy, dibenede giannutri.caspur.it #Dep. of Electrical Engineering and Computer Science, University of California at Berkeley, CA 94720, alberto,pinello eecs.berkeley.edu Abstract The design of engine control systems has been traditionally carried out using a mix of heuristic techniques validated by simulation and prototyping using approximate average value models. However, the ever ....
Computer Science. Springer-Verlag, 1996.
....Alberto Luigi Sangiovanni#Vincentelliy# yPARADES, Via San Pantaleo, 66, 00186 Roma, Italy, balluchi, lucab, alberto parades.rm.cnr.it zDip. di Ingegneria Elettrica, Universit#a dell Aquila, Poggio di Roio, 67040 L Aquila, Italy, dibenede giannutri.caspur.it #Dep. of Electrical Engineering and Computer Science, University of California at Berkeley, CA 94720, alberto,pinello eecs.berkeley.edu Abstract The design of engine control systems has been traditionally carried out using a mix of heuristic techniques validated by simulation and prototyping using approximate average value models. However, the ever ....
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