output
20032022
most citedSquare-root algorithms for maximum correntropy estimation of linear discrete-time systems in presence of non-Gaussian noise

80 citations

28 papers

math-ph2022★ 3 cited

Limit cycles for dynamic crawling locomotors with periodic prescribed shape

Paolo Gidoni, Alessandro Margheri, Carlota Rebelo

We study the asymptotic behaviour of a family of dynamic models of crawling locomotion, with the aim of characterizing a gait as a limit property. The locomotors, which might have…

physics.class-ph2022★ 9 cited

A generalised distributed-order Maxwell model

Luis Ferrás, Maria Luisa Morgado, Magda Rebelo

In this work we present a generalised viscoelastic model using distributed-order derivatives. The model consists of two distributed-order elements (distributed springpots) connecte…

math.NA2021★ 1 cited

Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials

Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres

We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivativ…

math.GR2020

Integrals of groups II

João Araújo, Peter J. Cameron, Carlo Casolo +2

An of a group is a group whose commutator subgroup is isomorphic to . This paper continues the investigation on integrals of groups started in the work arXiv:…

math.NA2020★ 18 cited

Numerical solution of a class of third-kind Volterra integral equations using Jacobi wavelets

Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres

We propose a spectral collocation method, based on the generalized Jacobi wavelets along with the Gauss-Jacobi quadrature formula, for solving a class of third-kind Volterra integr…

math.GR2019★ 3 cited

Variants of epigroups and primary conjugacy

Maria Borralho, Michael Kinyon

In a semigroup with fixed , one can construct a new semigroup called a \emph{variant} by defining . Elements are \emph{primari…

math.NA2019★ 30 cited

Legendre wavelet collocation method combined with the Gauss--Jacobi quadrature for solving fractional delay-type integro-differential equations

S. Nemati, P. M. Lima, S. Sedaghat

In this work, we present a collocation method based on the Legendre wavelet combined with the Gauss--Jacobi quadrature formula for solving a class of fractional delay-type integro-…

math.OC2019★ 63 cited

A numerical approach for solving fractional optimal control problems using modified hat functions

Somayeh Nemati, Pedro M. Lima, Delfim F. M. Torres

We introduce a numerical method, based on modified hat functions, for solving a class of fractional optimal control problems. In our scheme, the control and the fractional derivati…

math.GR2018★ 11 cited

Conjugacy in inverse semigroups

Joao Araujo, Michael Kinyon, Janusz Konieczny

In a group , elements and are conjugate if there exists such that . This conjugacy relation, which plays an important role in group theory, can be…

math.ST2018

Association measures for interval variables

M. Rosário Oliveira, Margarida Azeitona, António Pacheco +1

Symbolic Data Analysis (SDA) is a relatively new field of statistics that extends conventional data analysis by taking into account intrinsic data variability and structure. Unlike…

math.GR2017★ 5 cited

Decidability and Independence of Conjugacy Problems in Finitely Presented Monoids

João Araújo, Michael Kinyon, Janusz Konieczny +1

There have been several attempts to extend the notion of conjugacy from groups to monoids. The aim of this paper is study the decidability and independence of conjugacy problems fo…

stat.ML2017★ 1 cited

Theoretical Foundations of Forward Feature Selection Methods based on Mutual Information

Francisco Macedo, M. Rosário Oliveira, António Pacheco +1

Feature selection problems arise in a variety of applications, such as microarray analysis, clinical prediction, text categorization, image classification and face recognition, mul…

eess.SY2016★ 29 cited

State Sensitivity Evaluation Within UD Based Array Covariance Filters

Julia V. Tsyganova, Maria V. Kulikova

This technical note addresses the UD factorization based Kalman filtering (KF) algorithms. Using this important class of numerically stable KF schemes, we extend its functionality…

math.OC2016★ 47 cited

Improved Discrete-Time Kalman Filtering within Singular Value Decomposition

Maria V. Kulikova, Julia V. Tsyganova

The paper presents a new Kalman filter (KF) implementation useful in applications where the accuracy of numerical solution of the associated Riccati equation might be crucially red…

eess.SY2016★ 80 cited

Square-root algorithms for maximum correntropy estimation of linear discrete-time systems in presence of non-Gaussian noise

Maria V. Kulikova

Recent developments in the realm of state estimation of stochastic dynamic systems in the presence of non-Gaussian noise have induced a new methodology called the maximum correntro…

math.OC2016★ 11 cited

An Investment Model with Switching Costs and the Option to Abandon

Mihail Zervos, Carlos Oliveira, Kate Duckworth

We develop a complete analysis of a general entry-exit-scrapping model. In particular, we consider an investment project that operates within a random environment and yields a payo…

eess.SY2016★ 18 cited

Do the Contemporary Cubature and Unscented Kalman Filtering Methods Outperform Always the Traditional Extended Kalman Filter?

G. Yu. Kulikov, M. V. Kulikova

This brief technical note elaborates three well-known state estimators, which are used extensively in practice. These are the rather old-fashioned extended Kalman filter (EKF) and…

math.NA2015

Numerical Simulations in Two-Dimensional Neural Fields

Pedro M. Lima, Evelyn Buckwar

In the present paper we are concerned with a numerical algorithm for the approximation of the two-dimensional neural field equation with delay. We consider three numerical examples…

math.OC2015★ 3 cited

On the Optimal Control of a Class of Non-Newtonian Fluids

Telma Guerra, Jorge Tiago, Adélia Sequeira

We consider optimal control problems of systems governed by stationary, incompressible generalized Navier-Stokes equations with shear dependent viscosity in a two-dimensional or th…

math.GR2015★ 7 cited

Primitive groups and synchronization

João Araújo, Wolfram Bentz, Peter J. Cameron +2

Let be a set of cardinality , a permutation group on , and a map which is not a permutation. We say that \emph{synchronizes} if the transformation s…

math.NA2014★ 1 cited

Root Finding by High Order Iterative Methods Based on Quadratures

Mario M. Graça, Pedro M. Lima

We discuss a recursive family of iterative methods for the numerical approximation of roots of nonlinear functions in one variable. These methods are based on Newton-Cotes closed q…

math.GR2014★ 26 cited

The rank of the semigroup of transformations stabilising a partition of a finite set

Joao Araujo, Wolfram Bentz, J. D. Mitchell +1

Let be a partition of a finite set . We say that a full transformation preserves (or stabilizes) the partition if for all $P\in \mathcal{P…

math.OC2013★ 16 cited

Constructing numerically stable Kalman filter-based algorithms for gradient-based adaptive filtering

Maria V. Kulikova, Julia V. Tsyganova

This paper addresses the numerical aspects of adaptive filtering (AF) techniques for simultaneous state and parameters estimation arising in the design of dynamic positioning syste…

math.ST2012★ 6 cited

Probabilistic sampling of finite renewal processes

Nelson Antunes, Vladas Pipiras

Consider a finite renewal process in the sense that interrenewal times are positive i.i.d. variables and the total number of renewals is a random variable, independent of interrene…