We propose an efficient numerical algorithm for relative error model reduction based on balanced stochastic truncation. The method uses full-rank factors of the Gramians to be balanced versus each other and exploits the fact that for large-scale systems these Gramians are often of low numerical rank. We use the easy-to-parallelize sign function method as the major computational tool in determin...

This article considers the problem of simultaneous sensor fault detection, isolation, and networked estimation linear full-rank dynamical systems. The proposed is a variant single time-scale protocol based on consensus a-priori estimates measurement innovation. necessary connectivity condition network stabilizing block-diagonal gain matrix derived our previous works. Considering additive faults...

ABSTRACT. We study asymptotics of the Itzykson-Zuber integrals in the scaling when one of the matrices has a small rank compared to the full rank. We show that the result is basically the same as in the case when one of the matrices has a fixed rank. In this way we extend the recent results of Guionnet and Maı̈da who showed that for a latter scaling the Itzykson-Zuber integral is given in terms ...

in this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where a~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisti...

In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduced by Andrews. A certain strict inequality, which almost always holds, shows that identities for Dyson’s rank, similar to those proven by Atkin and Swinnerton-Dyer, are quite rare. By showing an analogous strict inequa...

Powell's(1984) Censored Least Absolute Deviations (CLAD) estimator for the censored linear regression model has been regarded as a desirable alternative to maximum likelihood estimation methods due to its robustness to conditional heteroscedasticity and distributional misspeci ̄cation of the error term. However, the CLAD estimation procedure has failed in certain empirical applications (e.g. Hon...

We consider a particle system with uniform coupling between macroscopic component and individual particles. The constraint for each is of full rank, which implies that movement the leads to all particles vice versa. Skeletal muscle tissues share similar property motivates this work.We prove convergence mean-field limit, well-posedness stability estimate PDE. This work generalises our previous r...

The computation of the time-varying matrix pseudoinverse has become crucial in recent years for solving problems engineering and science domains. This paper investigates issue calculating based on full-rank decomposition (FRD) using zeroing neural network (ZNN) method, which is currently considered to be a cutting edge method pseudoinverse. As consequence, first time literature, new ZNN model c...