scalar function
1.Applying a stabilizing local state feed back to each subsystem,making use of the scalar Lyapunoy function and combining with the algebraic Riccati equaion,the bound of uncertain parameters in each subsystem is given by means of M-matrix. By the approach developed in this paper and Bihari-type in equality,we also discuss the bounded-input bounded-output(BIBO)stability of uncer tain large-scale systems.
3.The summary of the adopted models contains a two-scale k-ε turbulence model,the scalar joint probability density function(PDF)transport equation approach,the augmented reduced mechanism(ARM)for methane oxidation (consisting of 16 species and 12 lumped reaction steps),the Euclidean minimum spanning tree (EMST)small scale mixing model etc.
