Constrained models of evolution lead to improved prediction of functional linkage from correlated gain and loss of genes

Motivation: We compare phylogenetic approaches for inferring functional gene links. The approaches detect independent instances of the correlated gain and loss of pairs of genes from species' genomes. We investigate the effect on results of basing evidence of correlations on two phylogenetic approaches, Dollo parsminony and maximum likelihood (ML). We further examine the effect of constraining the ML model by fixing the rate of gene gain at a low value, rather than estimating it from the data. Results: We detect correlated evolution among a test set of pairs of yeast (Saccharomyces cerevisiae) genes, with a case study of 21 eukaryotic genomes and test data derived from known yeast protein complexes. If the rate at which genes are gained is constrained to be low, ML achieves by far the best results at detecting known functional links. The model then has fewer parameters but it is more realistic by preventing genes from being gained more than once. Availability: BayesTraits by M. Pagel and A. Meade, and a script to configure and repeatedly launch it by D. Barker and M. Pagel, are available at http://www.evolution.reading.ac.uk .

New inequality-based approach to passivity analysis of neural networks with interval time-varying delay

This paper is concerned with the problem of passivity analysis of neural networks with an interval time-varying delay. Unlike existing results in the literature, the time-delay considered in this paper is subjected to interval time-varying without any restriction on the rate of change. Based on novel refined Jensen inequalities and by constructing an improved Lyapunov-Krasovskii functional (LKF), which fully utilizes information of the neuron activation functions, new delay-dependent conditions that ensure the passivity of the network are derived in terms of tractable linear matrix inequalities (LMIs) which can be effectively solved by various computational tools. The effectiveness and improvement over existing results of the proposed method in this paper are illustrated through numerical examples.

Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finitesum inequalities

This study considers the problem of stability analysis of discrete-time two-dimensional (2D) Roesser systems with interval time-varying delays. New 2D finite-sum inequalities, which provide a tighter lower bound than the existing ones based on 2D Jensen-type inequalities, are first developed. Based on an improved Lyapunov-Krasovskii functional, the newly derived inequalities are then utilised to establish delay-range-dependent linear matrix inequality-based stability conditions for a class of discrete time-delay 2D systems. The effectiveness of the obtained results is demonstrated by numerical examples.

Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances

The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is ϵ-convergent, which means that the estimate converges robustly within an ϵ-bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov-Krasovskii functional and the free-weighting matrix technique, a sufficient condition for ϵ-convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for ϵ. Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results.

An LMI-based functional estimation scheme of large-scale time-delay systems with strong interconnections

In this paper, the problem of distributed functional state observer design for a class of large-scale interconnected systems in the presence of heterogeneous time-varying delays in the interconnections and the local state vectors is considered. The resulting observer scheme is suitable for strongly coupled subsystems with multiple time-varying delays, and is shown to give better results for systems with very strong interconnections while only some mild existence conditions are imposed. A set of existence conditions are derived along with a computationally simple observer constructive procedure. Based on the Lyapunov-Krasovskii functional method (LKF) in the framework of linear matrix inequalities (LMIs), delay-dependent conditions are derived to obtain the observer parameters ensuring the exponential convergence of the observer error dynamics. The effectiveness of the obtained results is illustrated and tested through a numerical example of a three-area interconnected system.

Reachable sets bounding for generalized neural networks with interval time-varying delay and bounded disturbances

This paper deals with the problem of finding outer bound of forwards reachable sets and interbound of backwards reachable sets of generalized neural network systems with interval nondifferentiable time-varying delay and bounded disturbances. Based on constructing a suitable Lyapunov–Krasovskii functional and utilizing some improved Jensen integral-based inequalities, two sufficient conditions are derived for the existence of: (1) the smallest possible outer bound of forwards reachable sets and (2) the largest possible interbound of backwards reachable sets. These conditions are delay dependent and in the form of matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. Three numerical examples with simulation results are provided to demonstrate the effectiveness of our results.

Recent advances in fabrication and characterization of graphene-polymer nanocomposites

Graphene has attracted considerable interest over recent years due to its intrinsic mechanical, thermal and electrical properties. Incorporation of small quantity of graphene fillers into polymer can create novel nanocomposites with improved structural and functional properties. This review introduced the recent progress in fabrication, properties and potential applications of graphene-polymer composites. Recent research clearly confirmed that graphene-polymer nanocomposites are promising materials with applications ranging from transportation, biomedical systems, sensors, electrodes for solar cells and electromagnetic interference. In addition to graphene-polymer nanocomposites, this article also introduced the synergistic effects of hybrid graphene-carbon nanotubes (CNTs) on the properties of composites. Finally, some technical problems associated with the development of these nanocomposites are discussed.

Encouraging, assisting, and time to eat : comparison of mealtime assistance interventions in elderly medical inpatients

BACKGROUND: The prevalence of protein-energy malnutrition in older adults is reported to be as high as 60% and is associated with poor health outcomes. Inadequate feeding assistance and mealtime interruptions may contribute to malnutrition and poor nutritional intake during hospitalisation. Despite being widely implemented in practice in the United Kingdom and increasingly in Australia, there have been few studies examining the impact of strategies such as Protected Mealtimes and dedicated feeding assistant roles on nutritional outcomes of elderly inpatients. AIMS: The aim of this research was to implement and compare three system-level interventions designed to specifically address mealtime barriers and improve energy intakes of medical inpatients aged ≥65 years. This research also aimed to evaluate the sustainability of any changes to mealtime routines six months post-intervention and to gain an understanding of staff perceptions of the post-intervention mealtime experience. METHODS: Three mealtime assistance interventions were implemented in three medical wards at Royal Brisbane and Women's Hospital: AIN-only: Additional assistant-in-nursing (AIN) with dedicated nutrition role. PM-only: Multidisciplinary approach to meals, including Protected Mealtimes. PM+AIN: Combined intervention: AIN + multidisciplinary approach to meals. An action research approach was used to carefully design and implement the three interventions in partnership with ward staff and managers. Significant time was spent in consultation with staff throughout the implementation period to facilitate ownership of the interventions and increase likelihood of successful implementation. A pre-post design was used to compare the implementation and nutritional outcomes of each intervention to a pre-intervention group. Using the same wards, eligible participants (medical inpatients aged ≥65 years) were recruited to the preintervention group between November 2007 and March 2008 and to the intervention groups between January and June 2009. The primary nutritional outcome was daily energy and protein intake, which was determined by visually estimating plate waste at each meal and mid-meal on Day 4 of admission. Energy and protein intakes were compared between the pre and post intervention groups. Data were collected on a range of covariates (demographics, nutritional status and known risk factors for poor food intake), which allowed for multivariate analysis of the impact of the interventions on nutritional intake. The provision of mealtime assistance to participants and activities of ward staff (including mealtime interruptions) were observed in the pre-intervention and intervention groups, with staff observations repeated six months post-intervention. Focus groups were conducted with nursing and allied health staff in June 2009 to explore their attitudes and behaviours in response to the three mealtime interventions. These focus group discussions were analysed using thematic analysis. RESULTS: A total of 254 participants were recruited to the study (pre-intervention: n=115, AIN-only: n=58, PM-only: n=39, PM+AIN: n=42). Participants had a mean age of 80 years (SD 8), and 40% (n=101) were malnourished on hospital admission, 50% (n=108) had anorexia and 38% (n=97) required some assistance at mealtimes. Occasions of mealtime assistance significantly increased in all interventions (p<0.01). However, no change was seen in mealtime interruptions. No significant difference was seen in mean total energy and protein intake between the preintervention and intervention groups. However, when total kilojoule intake was compared with estimated requirements at the individual level, participants in the intervention groups were more likely to achieve adequate energy intake (OR=3.4, p=0.01), with no difference noted between interventions (p=0.29). Despite small improvements in nutritional adequacy, the majority of participants in the intervention groups (76%, n=103) had inadequate energy intakes to meet their estimated energy requirements. Patients with cognitive impairment or feeding dependency appeared to gain substantial benefit from mealtime assistance interventions. The increase in occasions of mealtime assistance by nursing staff during the intervention period was maintained six-months post-intervention. Staff focus groups highlighted the importance of clearly designating and defining mealtime responsibilities in order to provide adequate mealtime care. While the purpose of the dedicated feeding assistant was to increase levels of mealtime assistance, staff indicated that responsibility for mealtime duties may have merely shifted from nursing staff to the assistant. Implementing the multidisciplinary interventions empowered nursing staff to "protect" the mealtime from external interruptions, but further work is required to empower nurses to prioritise mealtime activities within their own work schedules. Staff reported an increase in the profile of nutritional care on all wards, with additional non-nutritional benefits noted including improved mobility and functional independence, and better identification of swallowing difficulties. IMPLICATIONS: The PhD research provides clinicians with practical strategies to immediately introduce change to deliver better mealtime care in the hospital setting, and, as such, has initiated local and state-wide roll-out of mealtime assistance programs. Improved nutritional intakes of elderly inpatients was observed; however given the modest effect size and reducing lengths of hospital stays, better nutritional outcomes may be achieved by targeting the hospital-to-home transition period. Findings from this study suggest that mealtime assistance interventions for elderly inpatients with cognitive impairment and/or functional dependency show promise.

New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations

The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range dependent, and distributeddelay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method

ε-bounded state estimation for time-delay systems with bounded disturbances

A new problem on ε-bounded functional state estimation for time-delay systems with unknown bounded disturbances is studied in this paper. In the presence of unknown bounded disturbances, the common assumption regarding the observers matching condition is no longer required. In this regard, instead of achieving asymptotic convergence for the observer error, the error is now required to converge exponentially within a ball with a small radius ε > 0. This means that the estimate converges exponentially within an ε-bound of the true value. A general observer that utilises multiple-delayed output and input information is proposed. Sufficient conditions for the existence of the proposed observer are first given. We then employ an extended Lyapunov-Krasovskii functional which combines the delay-decomposition technique with a triple-integral term to study the ε-convergence problem of the observer error system. Moreover, the obtained results are shown to be more effective than the existing results for the cases with no disturbances and/or no time delay. Three numerical examples are given to illustrate the obtained results.

Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks

In this paper, a class of periodic Cohen-Grossberg neural networks with discrete and distributed time-varying delays is considered. By an extension of the Lyapunov-Krasovskii functional method, a novel criterion for the existence and uniqueness and global asymptotic stability of positive periodic solution is derived in terms of M-matrix without any restriction on uniform positiveness of the amplification functions. Comparison and illustrative examples are given to illustrate the effectiveness of the obtained results. © 2014 Elsevier Inc. All rights reserved.

Partial state estimation for linear systems with output and input time delays.

This paper deals with the problem of partial state observer design for linear systems that are subject to time delays in the measured output as well as the control input. By choosing a set of appropriate augmented Lyapunov-Krasovskii functionals with a triple-integral term and using the information of both the delayed output and input, a novel approach to design a minimal-order observer is proposed to guarantee that the observer error is ε-convergent with an exponential rate. Existence conditions of such an observer are derived in terms of matrix inequalities for the cases with time delays in both the output and input and with output delay only. Constructive design algorithms are introduced. Numerical examples are provided to illustrate the design procedure, practicality and effectiveness of the proposed observer.

Robust non-fragile control for offshore steel jacket platform with nonlinear perturbations

This study is concerned with the design of a non-fragile controller for an offshore steel jacket platform with nonlinear perturbations. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities based on suitable Lyapunov–Krasovskii functional, the second-order reciprocally convex approach and the lower bound lemma. The results indicate asymptotic stability of the offshore steel jacket platform utilizing the proposed non-fragile controller. Besides that, robust stability conditions are derived for an uncertain offshore platform subject to the non-fragile controller. A numerical example is given to illustrate the effectiveness of the proposed theoretical results.