Stability analysis of a general family of nonlinear positive discrete time-delay systems

In this paper, we propose a new approach to analyse the stability of a general family of nonlinear positive discrete time-delay systems. First, we introduce a new class of nonlinear positive discrete time-delay systems, which generalises some existing discrete time-delay systems. Second, through a new technique that relies on the comparison and mathematical induction method, we establish explicit criteria for stability and instability of the systems. Three numerical examples are given to illustrate the feasibility of the obtained results.

Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances

This paper presents a method to derive componentwise ultimate upper bounds and componentwise ultimate lower bounds for linear positive systems with time-varying delays and bounded disturbances. The disturbance vector is assumed to vary within a known interval whose lower bound may be different from zero. We first derive a sufficient condition for the existence of componentwise ultimate bounds. This condition is given in terms of the spectral radius of the system matrices which is easy to check and allows us to compute directly both the smallest componentwise ultimate upper bound and the largest componentwise ultimate lower bound. Then, by using the comparison method, we extend the obtained result to a class of nonlinear time-delay systems which has linear positive bounds. Two numerical examples are given to illustrate the effectiveness of the obtained results.

Design of reduced-order positive linear functional observers for positive time-delay systems

This brief considers a new problem of designing reduced-order positive linear functional observers for positive time-delay systems. The order of the designed functional observers is equal to the dimension of the functional state vector to be estimated. The designed functional observers always nonnegative at any time and they converge asymptotically to the true functional state vector. Moreover, conditions for the existence of such positive linear functional observers are formulated in terms of linear programming (LP). Numerical examples and simulation results are given to illustrate the effectiveness of the proposed design method.

An explicit criterion for finite-time stability of linear nonautonomous systems with delays

In this paper, the problem of finite-time stability of linear nonautonomous systems with time-varying delays is considered. Using a novel approach based on some techniques developed for linear positive systems, we derive new explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. These conditions are shown to be relaxed for the Lyapunov asymptotic stability. A numerical example is given to illustrate the effectiveness of the obtained result.

Robust strictly positive real synthesis of polynomial segments for discrete time systems

By using the result of robust strictly positive real synthesis of polynomial segments for continuous time systems, it is proved that, for any two n-th order polynomials a(z) and b(z), the Schur stability of their convex combination is necessary and sufficient for the existence of an n-th order polynomial c(z) such that c(z)/a(z) and c(z)/b(z) are both strictly positive real. We also provide the construction method of c(z). Illustrative examples are provided to show the effectiveness of this method.

Towards a multicultural world : identifying work systems, practices and employee attitudes that embrace diversity

The research program described focuses on identifying the role of organisational culture, as reflected in workplace systems and practices, and employee and group attitudes in the outcomes of interactions among dissimilar parties. A systematic, theory-testing approach underlies the program, which aims to both develop and validate the diversity openness construct. The Perceived Dissimilarity-Openness Moderator Model developed from the research asserts that the affective, cognitive and behavioural consequences of diversity depend in part upon the perception of difference and subsequent quality and magnitude of the response to the perceived dissimilarity. When individuals or social systems (groups or organisations) are diversity-closed, outcomes are predicted to be less positive than when they are diversity-open.

Personality and responses to appetitive and aversive stimuli: the joint influence of behavioural approach and behavioural inhibition systems

Gray’s reinforcement sensitivity theory (RST) posits two separable neurological systems involved in the regulation of personality and behaviour. The behavioural approach and inhibition systems facilitate the expression of appetitive (impulsive-sensation seeking traits) and aversive motivation (anxiety traits), respectively. Inconsistent findings regarding associations between measures of personality and behavioural responses to appetitive and aversive stimuli has led to a modification of RST including the notion that, rather than separable as first hypothesised, the two systems jointly influence behaviour. The current study was designed to investigate this proposal with an additional focus on the role of reinforcement expectancies. Seventy-eight participants completed two questionnaire measures of BIS/BAS activity (EPQ-R, SPSRQ) and two behavioural measures (Q-TASK, Card Arranging Reward Responsivity Objective Task). Findings were in general consistent with the original separable systems approach, however they also showed that aversive responses were highest in high BAS/high BIS individuals, thus suggesting an interactive account of BIS/BAS processes. Further, stronger positive correlations between self-report BAS traits and behavioural reward responsiveness were found for participants who perceived the task as more rewarding than initially expected. Discussion focuses on the role of reward expectancies and on the issue regarding separable vs. joint BIS/BAS systems.

Performances of three minimally invasive cardiac output monitoring systems

We evaluated cardiac output (CO) using three new methods – the auto-calibrated FloTrac–Vigileo (CO_ed), the non-calibrated Modelflow (CO_mf ) pulse contour method and the ultra-sound HemoSonic system (CO_hs) – with thermodilution (CO_td) as the reference. In 13 postoperative cardiac surgical patients, 104 paired CO values were assessed before, during and after four interventions: (i) an increase of tidal volume by 50%; (ii) a 10 cm H₂O increase in positive end-expiratory pressure; (iii) passive leg raising and (iv) head up position. With the pooled data the difference (bias (2SD)) between CO_ed and CO_td, CO_mf and CO_td and CO_hs and CO_td was 0.33 (0.90), 0.30 (0.69) and −0.41 (1.11) l.min⁻¹, respectively. Thus, Modelflow had the lowest mean squared error, suggesting that it had the best performance. CO_ed significantly overestimates changes in cardiac output while CO_mf and CO_hs values are not significantly different from those of CO_td. Directional changes in cardiac output by thermodilution were detected with a high score by all three methods.

Deployed to deliver : teachers in globalised education systems

Education is a vital institution for balancing the excesses of globalisation and changing understandings of civic and global responsibility. However, education policy often bows to promoting education that dovetails with a global economy increasingly predicated on consumption and competition. What can teachers do? Under these circumstances, is policy for education really about education? Deployed to Deliver: Teachers in Globalised Education Systems investigates these and other questions and the dilemmas they pose for national, international and supranational educational policy makers, educators, social theorists and practitioners. It works from the premise that education policy for a knowledge society necessitates a critical analysis of global agencies and how they reconstruct education for a global economy. If we are to understand that education has its negative and positive manifestations and possibilities, we need to go beyond the simplistic agendas of global agencies and problematise the view of the future.

Reconstructing the incidence of human immunodeficiency virus (HIV) in Hong Kong by using data from HIV positive tests and diagnoses of acquired immune deficiency syndrome

The human immunodeficiency virus–acquired immune deficiency syndrome (HIV–AIDS) epidemic in Hong Kong has been under surveillance in the form of voluntary reporting since 1984. However, there has been little discussion or research on the reconstruction of the HIV incidence curve. This paper is the first to use a modified back-projection method to estimate the incidence of HIV in Hong Kong on the basis of the number of positive HIV tests only. The model proposed has several advantages over the original back-projection method based on AIDS data only. First, not all HIV-infected individuals will develop AIDS by the time of analysis, but some of them may undertake an HIV test; therefore, the HIV data set contains more information than the AIDS data set. Second, the HIV diagnosis curve usually has a smoother pattern than the AIDS diagnosis curve, as it is not affected by redefinition of AIDS. Third, the time to positive HIV diagnosis is unlikely to be affected by treatment effects, as it is unlikely that an individual receives medication before the diagnosis of HIV. Fourth, the induction period from HIV infection to the first HIV positive test is usually shorter than the incubation period which is from HIV infection to diagnosis of AIDS. With a shorter induction period, more information becomes available for estimating the HIV incidence curve. Finally, this method requires the number of positive HIV diagnoses only, which is readily available from HIV–AIDS surveillance systems in many countries. It is estimated that, in Hong Kong, the cumulative number of HIV infections during the period 1979–2000 is about 2600, whereas an estimate based only on AIDS data seems to give an underestimate.

Health service systems and comorbidity: stepping up to the mark

Clients with co-occurring substance use and mental health disorders are not well served in traditional health care systems where specialist services offer segregated interventions and the client is left to negotiate required treatment across both systems. In recent years, policy change guiding the treatment of dual diagnosis in the United States, United Kingdom, Australia and elsewhere has triggered the development of diverse models of treatment, each of which function at different points on a continuum from serial to fully integrated care. This paper outlines key models and provides examples, while considering their potential for appropriately addressing the needs of this client group. Consideration is given to the benefits of an interaction between stepped care and the chosen model, as a means of enhancing care efficiency while retaining the focus on positive outcomes.

Impact of nursing information systems on residential care provision in an aged care provider

The challenge of an ageing population has placed a great pressure on the Australian aged care sector in the coming decades. Technology-enabled solutions such as health information systems (HIS) can be seen as a way to improve care quality, safety and process efficiency. Compared to the overall healthcare sector, the adoption of HIS in the aged care sector has been slower. One reason for this is that aged care providers are not well informed therefore not yet convinced of the positive impacts of technology solutions on their service provision. This paper reports findings from an evaluation of the impact of HIS adoption at an aged care provider in Victoria. The evaluation was conducted in two distinct areas, residential aged care and residential disability services. Overall, the findings show positive impacts of the system on individual work of the care staff and on service provision of the organisation as well as suggesting opportunities for improvement in later implementation stages. The evaluation will also inform other aged care and disability service providers of the benefits of HIS and useful lessons in adoption of technology solutions.

A new design of sliding mode control systems

A new sliding mode control technique for a class of SISO dynamic systems is presented in this chapter. It is seen that the stability status of the closed-loop system is first checked, based on the approximation of the most recent information of the first-order derivative of the Lyapunov function of the closed-loop system, an intelligent sliding mode controller can then be designed with the following intelligent features: (i) If the closed-loop system is stable, the correction term in the controller will continuously adjust control signal to drive the closed-loop trajectory to reach the sliding mode surface in a finite time and the desired closed-loop dynamics with the zero-error convergence can then be achieved on the sliding mode surface. (ii) If, however, the closed-loop system is unstable, the correction term is capable of modifying the control signal to continuously reduce the value of the derivative of the Lyapunov function from the positive to the negative and then drives the closed-loop trajectory to reach the sliding mode surface and ensures that the desired closed-loop dynamics can be obtained on the sliding mode surface. The main advantages of this new sliding mode control technique over the conventional one are that no chattering occurs in the sliding mode control system because of the recursive learning control structure; the system uncertainties are embedded in the Lipschitz-like condition and thus, no priori information on the upper and/or the lower bounds of the unknown system parameters and uncertain system dynamics is required for the controller design; the zero-error convergence can be achieved after the closed-loop dynamics reaches the sliding mode surface and remains on it. The performance for controlling a third-order linear system is evaluated in the simulation section to show the effectiveness and efficiency of the new sliding mode control technique.

Observation-switching linear dynamic systems for tracking humans through unexpected partial occlusions by scene objects

This paper focuses on the problem of tracking people through occlusions by scene objects. Rather than relying on models of the scene to predict when occlusions will occur as other researchers have done, this paper proposes a linear dynamic system that switches between two alternatives of the position measurement in order to handle occlusions as they occur. The filter automatically switches between a foot-based measure of position (assuming z = Q) to a head-based position measure (given the person's height) when an occlusion of the person's lower body occurs. No knowledge of the scene or its occluding objects is used. Unlike similar research [2, 14], the approach does not assume a fixed height for people and so is able to track humans through occlusions even when they change height during the occlusion. The approach is evaluated on three furnished scenes containing tables, chairs, desks and partitions. Occlusions range from occlusions of legs, occlusions whilst being seated and near-total occlusions where only the person's head is visible. Results show that the approach provides a significant reduction in false-positive tracks in a multi-camera environment, and more than halves the number of lost tracks in single monocular camera views.

The view from the trenches : satisfaction with eHealth systems by a group of health professionals

The integration and adoption of eHealth systems within the health sector faces challenges. As health care practitioners are the end users of eHealth systems, their perceptions of these systems are critical in order to address the issues surrounding their implementation and application. This paper presents the views that a group of health care professionals hold regarding the eHealth systems that they use as part of their day to day work. These views were analysed according to the perceptions of satisfaction and dissatisfaction with eHealth systems that these professionals expressed. They expressed satisfaction with the information consistency, work efficiency, access to information, quality of information, and availability of technical support associated with their systems use. They expressed dissatisfaction with a lack of communication and compatibility between systems, deficiency in terms of system functionality, a lack of system reliability, a lack of initial and ongoing training, and a need to develop workarounds in order to achieve work goals. Overall this research indicates that satisfaction with eHealth systems is a complex issue, and that the negative aspects of system satisfaction need to be addressed and the positive aspects carefully built upon.