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18
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138
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Introduction
Additional affiliations
January 2013 - April 2016
Publications
Publications (18)
In this work, we investigate some theoretical aspects related to the estimation approach proposed by Liebermeister and Klipp, 2006, in which general rate laws, derived from standardized enzymatic mechanisms, are exploited to kinetically describe the fluxes of a metabolic reaction network, and multiple metabolic steady-state measurements are exploit...
In this paper we consider the estimation problem for linear stochastic systems affected by multiple known and time-varying delays on all the output signals. Based on a modification of a previous proposal we prove for the first time the result that a filter based on simple eigenvalue assignment of the closed-loop error system may achieve uniform per...
Background
The totality of bacteria, protozoa, viruses and fungi that lives in the human body is called microbiota. Human microbiota specifically colonizes the skin, the respiratory and urinary tract, the urogenital tract and the gastrointestinal system. This study focuses on the intestinal microbiota to explore the drug-microbiota relationship and...
We consider the tracking problem of a point moving in a three-dimensional space using only measurements of distance from a set of reference points. The approach followed in this paper is to derive a linear map with multiplicative noise through a quadratic transformation of the distance measurements. A suitable rewriting by means of an output inject...
This work investigates an optimal control problem for a class of stochastic differential bilinear systems, affected by a persistent disturbance provided by a nonlinear stochastic exogenous system (nonlinear drift and multiplicative state noise). The optimal control problem aims at minimizing the average value of a standard quadratic-cost functional...
This paper focuses on the development of equivalent models able to represent the dynamical behavior of active distribution networks. The availability of these models is becoming of fundamental importance for allowing the interoperability between the transmission and distribution system operators. This is due to the large deployment of distributed g...
The problem of state estimation for nonlinear systems with unknown state or measurement delays is still an open problem. In this paper we consider the case of measurement delay and propose an approach that combines a delay identifier with a suitable high-gain observer in order to achieve simultaneous estimation of state and delay. We provide suffic...
This paper concerns the state estimation problem for linear discrete-time non-Gaussian systems. It is known that filters based on quadratic functions of the measurements processes (Quadratic Filter) improve the estimation accuracy of the optimal linear filter. In order to enlarge the class of systems, which can be processed by Quadratic Filter, we...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise theory in Hilbert spaces. The proposed approach extends Blakrishnan’s theory to a new class of nonlinear systems. The method uses the theory of differential geometry to devise a suitable map which transforms the starting system in an equivalent one; t...
This paper proposes an alternative theory to the Ito calculus due to Balakrishnan: the white noise theory in Hilbert spaces. The proposed approach extends Blakrishnan's theory to a new class of nonlinear systems. The method uses the theory of differential geometry to devise a suitable map which transforms the starting system in an equivalent one; t...
This paper proposes an optimal control law for linear systems affected by input delays. Specifically we prove that when the delay functions are known it is possible to generate the optimal control for arbitrarily large delay values by using a DDE without distributed terms. The solution can be seen as a chain of predictors whose size depends on the...
The problem of state estimation for nonlinear systems with unknown state delays is still an open problem. In
this paper we propose to add a delay identifier to suitable high-gain observers in order to achieve simultaneous
estimation of state and delay. In the case of one constant delay in the state we provide sufficient conditions to
guarantee the...
This paper proposes a new method to simultaneously estimate the state and the delay of a linear time delay system. The approach is based on the definition of an augmented linear time-varying model whose state is composed by both the original state vector and the delay. The estimation is then carried out by developing an appropriate observer for the...
This paper concerns the state estimation problem for linear discrete-time systems with non-Gaussian state and output noises. A sub-optimal quadratic filter algorithm is proposed. In order to enlarge the class of systems allowed to be processed, a novel approach based on the output injection stabilization is derived. Also a second benefit to the est...
This paper concerns with the state estimation problem of nonlinear systems with sampled noisy measurements. The main idea is to exploit a result of the analysis of nonlinear systems, which considers a class of state-space nonlinear models admitting the design of a deterministic observer with linear error dynamics. Such systems are supposed to provi...
Questions
Questions (2)
As said in the title: under which hypotheses the solution of dh(x)/dx*g(x)=1 exists?Where h(x) is a scalar function, g(x) is a function from R^n into R^n and x belongs to R^n.
I want to calculate the determinant of a linear operator L from H to H, where H is a Hilbert space: y=Lx. In my particular problem L is bounded, differentiable end invertible.
Thank you