In this paper, we introduce the concept of x-maximal flatness. A control system is x-maximally flat if the number of new states gained by each successive derivation of the flat output is the largest possible. Firstly, we show that the only control-linear systems that are xmaximally flat are those that are static feedback equivalent to the m-chained form. Secondly, we generalize that result from...

In this paper a method of controlling nonholonomic systems within the port-Hamiltonian (pH) framework is presented. It is well known that nonholonomic systems can be represented as pH systems without Lagrange multipliers by considering a reduced momentum space. Here, we revisit the modelling of these systems for the purpose of identifying the role that physical damping plays. Using this represe...

A design method for robust stabilization of at systems , feedback equivalent to chained ones, is proposed. The method is based on iterations of well chosen open-loop steering controls. Robustness is characterized by exponential convergence to the equilibrium for any driftless systems close to the original one. The case of chained systems of dimension 4 is treated in details. Simulation of a car...

This paper presents a new strategy for increasing the availability of data in multi-processor, shared-nothing database machines. This technique, termed chained declustering, is demonstrated to provide superior performance in the event of failures while maintaining a very high degree of data availability. Furthermore, unlike most earlier replication strategies, the implementation of chained decl...

Gaussian process models are flexible, Bayesian non-parametric approaches to regression. Properties of multivariate Gaussians mean that they can be combined linearly in the manner of additive models and via a link function (like in generalized linear models) to handle non-Gaussian data. However, the link function formalism is restrictive, link functions are always invertible and must convert a p...

BACKGROUND Chained equations imputation is widely used in medical research. It uses a set of conditional models, so is more flexible than joint modelling imputation for the imputation of different types of variables (e.g. binary, ordinal or unordered categorical). However, chained equations imputation does not correspond to drawing from a joint distribution when the conditional models are incom...

The paper explores a way to learn post-editing fixes of raw MT outputs automatically by combining two different types of statistical machine translation (SMT) systems in a linear fashion. Our proposed system (which we call a chained system) consists of two SMT systems: (i) a syntax-based SMT system and (ii) a phrase-based SMT system (Koehn, 2004). We first translate source sentences of the bite...

in this paper, we study some ring theoretic properties of the amalgamated duplication ring $rbowtie i$ of a commutative noetherian ring $r$ along an ideal $i$ of $r$ which was introduced by d'anna and fontana. indeed, it is determined that when $rbowtie i$ satisfies serre's conditions $(r_n)$ and $(s_n)$, and when is a normal ring, a generalized cohen-macaulay ring and finally a filter ring.

Abstract: In this paper, we propose a switching state feedback control algorithm for a class of non-holonomic symmetric affine systems with multi-generators. The controllability Lie algebra of a multi-generator system is structurally different from that of single-generator systems, such as conventional chained form systems. A multi-generator dynamics is partially considered a single-generator s...