A systematic method is developed for determining an output matrix C for a given matrix pair (A; B) such that the resulting linear system characterized by the matrix triple (A; B; C) has the pre-speci2ed system structural properties, such as the 2nite and in2nite zero structure and the invertibility structures. Since the matrix C describes the locations of the sensors, the procedure of choosing ...

A sense of direction is an edge labeling on graphs that follows a globally consistent scheme and is known to considerably reduce the complexity of several distributed problems. In this paper, we study aparticular instance of sense of direction, called a chordal sense of direction (CSD). In special, we identify the class of k-regular graphs that admit a CSD with exactly k labels (a minimal CSD)....

We are concerned with a linear mean-square stability analysis of numerical methods applied to systems of stochastic differential equations (SDEs) and, in particular, consider the θ-Maruyama and the θ-Milstein method in this context. We propose a technique, based on the vectorisation of matrices and the Kronecker product, to deal with the matrix expressions arising in this analysis and provide t...

where n is the forcing function. In our problems, the mass and stiffness matrices are symmetric with the former semidefinite and the latter being positive definite. (We have ignored the damping term for now but it will be relevant in future.) The forcing function n is a product of a vector f that specifies the spatial distribution of the force and a scalar function g(t) that governs the tempora...

Model complexity is key concern to any artificial learning system due its critical impact on generalization. However, EC research has only focused phenotype structural complexity for static problems. For sequential decision tasks, phenotypes that are very similar in structure, can produce radically different behaviors, and the trade-off between fitness and complexity in this context is not clea...

Metamorphic malware is well known for evading signature-based detection by exploiting various code obfuscation techniques. Current metamorphic approaches require some prior knowledge during feature engineering stage to extract patterns and behaviors from malware. In this paper, we attempt complement extend previous techniques proposing a approach based on structure analysis using information th...