In this paper a nonlinear positive control law is proposed for reference tracking in multi-input positive systems. This law proves to have a good performance in the control of the depth of anesthesia (DoA) by means of...
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In this paper a nonlinear positive control law is proposed for reference tracking in multi-input positive systems. This law proves to have a good performance in the control of the depth of anesthesia (DoA) by means of...
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In this paper a nonlinear positive control law is proposed for reference tracking in multi-input positive systems. This law proves to have a good performance in the control of the depth of anesthesia (DoA) by means of propofol and remifentanil , which is illustrated by several simulations.
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of Green's theorem are proved. These ...
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ISBN:
(纸本)9781467320658
We introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of Green's theorem are proved. These results allow us to obtain a fractional Euler-Lagrange necessary optimality condition for variable order two-dimensional fractional variational problems.
M-conformal mappings are given by a subclass of monogenic quasiconformal mappings. We compare some equivalent definitions and study then how an M-conformal mapping does change the solid angle in the special case of ma...
M-conformal mappings are given by a subclass of monogenic quasiconformal mappings. We compare some equivalent definitions and study then how an M-conformal mapping does change the solid angle in the special case of mappings from ℝ3 to ℝ3.
In this paper, we present conditions of existence of solution to an optimization problem on time scales. Based on the classical results for continuous-time case, a convergence theorem for delta-differential inclusions...
In this paper, we present conditions of existence of solution to an optimization problem on time scales. Based on the classical results for continuous-time case, a convergence theorem for delta-differential inclusions is proved. It is applied to establish an existence results for an optimization problem governed by delta-differential inclusion.
This paper presents a model based switching control strategy to drive the neuromuscular blockade (NMB) level of patients undergoing general anesthesia to a predefined reference. A single-input single-output Wiener sys...
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This paper presents a model based switching control strategy to drive the neuromuscular blockade (NMB) level of patients undergoing general anesthesia to a predefined reference. A single-input single-output Wiener system with only two parameters is used to model the effect of two different muscle relaxants, atracurium and rocuronium , and a switching controller is designed based on a bank of total system mass control laws. Each of such laws is tuned for an individual model from a bank chosen to represent the behavior of the whole population. The control law to be applied at each instant corresponds to the model whose NMB response is closer to the patient's response. Moreover a scheme to improve the reference tracking quality based on the analysis of the patient's response is presented. The results are illustrated by means of several simulations.
In the recent past, the problem of constructing bases for spaces of monogenic polynomials, in the framework of Clifford Analysis, has been considered by several authors, using different methods. In this talk we consid...
In the recent past, the problem of constructing bases for spaces of monogenic polynomials, in the framework of Clifford Analysis, has been considered by several authors, using different methods. In this talk we consider bases of 3D monogenic polynomials isomorphic to the complex powers, which are particularly easy to handle, from the computational point of view. Explicit constructions of such polynomial bases are performed and a numerical cost comparison with the well known Fueter polynomial basis is carried out.
This note announces some results that will be presented in the forthcoming paper [10]. In continuation to these studies we discuss a constructive approach for the generation of harmonic conjugates to find nullsolution...
This note announces some results that will be presented in the forthcoming paper [10]. In continuation to these studies we discuss a constructive approach for the generation of harmonic conjugates to find nullsolutions to the Riesz system in ℝ3. This class of solutions coincides with the subclass of monogenic functions with values in the reduced quaternions. The algorithm for harmonic conjugates is presented by means of an integral representation. Additionally, we discuss the weighted (monogenic) Hardy and Bergman spaces on the unit ball in ℝ3 consisting of functions with values in the reduced quaternions. We end up showing the boundedness of the underlying harmonic conjugation operators in certain weighted spaces.
In the last decades propofol became established as an intravenous agent for the induction and maintenance of both sedation and general anesthesia procedures. In order to achieve the desired clinical effects appropriat...
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In the last decades propofol became established as an intravenous agent for the induction and maintenance of both sedation and general anesthesia procedures. In order to achieve the desired clinical effects appropriate infusion rate strategies must be designed. Moreover, it is important to avoid or minimize side effects which may be associated with adverse cardiorespiratory effects and delayed recovery. Nowadays, to attain these purposes the continuous propofol delivery is usually performed through target-controlled infusion (TCI) systems whose algorithms rely on pharmacokinetic and pharmacodynamic models (Schraag, 2001). This work presents statistical models to estimate both the infusion rate and the bolus administration. The modeling strategy relies on multivariate linear models for panel data (Wooldridge, 2002), based on patient characteristics such as age, height, weight and gender along with the desired target concentration. A clinical database collected with a RugLoopII device on 84 patients undergoing ultrasonographic endoscopy under sedation-analgesia with propofol and remifentanil , (Gambús et al., 2011), is used to estimate the models (training set with 74 cases) and assess their performance (test set with 10 cases). The results obtained in the test set comprising a broad range of characteristics are satisfactory since the models are able to predict bolus and infusion rates comparable to those of TCI.
In this short paper we show how to construct some complex affine transformations such as complex dilations, complex shearings, and complex rotations (Euclidean or hyperbolic), in the pseudo-Hermitian space Hn,m. These...
In this short paper we show how to construct some complex affine transformations such as complex dilations, complex shearings, and complex rotations (Euclidean or hyperbolic), in the pseudo-Hermitian space Hn,m. These transformations appear as spin-1 actions of appropriate elements of the complex Lie algebra of complex blades in Hn,m.
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