Practical stability of approximating discrete-time filters with respect to model mismatch using relative entropy concepts

This paper establishes practical stability results for an important range of approximate discrete-time filtering problems involving mismatch between the true system and the approximating filter model. Using local consistency assumption, the practical stability established is in the sense of an asymptotic bound on the amount of bias introduced by the model approximation. Significantly, these practical stability results do not require the approximating model to be of the same model type as the true system. Our analysis applies to a wide range of estimation problems and justifies the common practice of approximating intractable infinite dimensional nonlinear filters by simpler computationally tractable filters.

Practical stability with respect to model mismatch of approximate discrete-time output feedback control

This paper establishes a practical stability result for discrete-time output feedback control involving mismatch between the exact system to be stabilised and the approximating system used to design the controller. The practical stability is in the sense of an asymptotic bound on the amount of error bias introduced by the model approximation, and is established using local consistency properties of the systems. Importantly, the practical stability established here does not require the approximating system to be of the same model type as the exact system. Examples are presented to illustrate the nature of our practical stability result.

'Being-in-the-world-of-care' : the lived experiences of older people receiving community aged care packages in Queensland

It has been recognised in current literature that, in general, Australia’s population is ageing and that older people are increasingly choosing to continue to live in the community in their own homes for as long as possible. Such factors of social change are expected to lead to larger numbers of older people requiring community care services for longer periods. Despite this, there is little information available in the literature on the perceptions and experiences of older people regarding community-based care and support. This study explores the lived experience of a small group of older people living in South East Queensland who were receiving a level of care consistent with the Community Aged Care Package (CACP). It also sought to examine the impact and meaning of that care on the older person’s overall lifestyle, autonomy, and personal satisfaction. In-depth interviews were undertaken with these older people, and were analysed using Heidegger’s interpretive hermeneutical phenomenological approach. Shared narratives were then explored using Ricoeur’s narrative analysis framework. In order to sensitise the researcher to the unconscious or symbolic aspects of the care experience, Wolfensberger’s social role valorization theory (SRV) was also utilised during a third phase of analysis. Methodological rigour was strengthened within this study through the use of reflexivity and an in-depth member check discussion that was conducted with each participant. The interviews revealed there were significant differences in expectations, understanding, and perceptions between older people and their carers or service providers. The older person perceived care primarily in relational terms, and clearly preferred active participation in their care and a consistent relationship with a primary carer. Older people also sought to maintain their sense of autonomy, lifestyle, home environment, routines, and relationships, as closely as possible to those that existed prior to their requiring assistance. However, these expectations were not always supported by the care model. On the whole, service providers did not always understand what older people perceived was important within the care context. Carers seldom looked beyond the provision of assistance with specific daily tasks to consider the real impact of care on the older person. The study identified that older people reported a range of experiences when receiving care in their own homes. While some developed healthy and supportive connections with their carers, others experienced ageism, abuse, and exploitation. Unsatisfactory interactions at times resulted in a loss, to varying degrees, of their independence, their possessions, and their connectedness with others. There is therefore a need for service providers to pay more attention to the perceptions and self-perceived needs of older people, to avoid unintended or unnecessary negative impacts occurring within care provision. The study provides valuable information regarding the older person’s experience that will assist in supporting the further development and improvement of this model of care. It is proposed that these insights will enable CACPs to cater more closely to the actual needs and preferences of older people, and to avoid causing preventable harm to care recipients.

Prospective association between physical activity and falls in community-dwelling older women

Abstract Objective: To explore associations between physical activity and risk of falls and broken or fractured bones in community-dwelling older women. Design, setting and participants: This was a prospective observational survey with 3- and 6-year follow-ups. The sample included 8562 healthy, community-dwelling women, aged 70-75 years in 1996, who completed surveys as participants in the Australian Longitudinal Study on Women’s Health. Outcomes were reports of a fall to the ground, injury from a fall, and broken or fractured bones in 1999 and 2002. The main predictor variable was physical activity level in 1996, categorized based on weekly frequency as none/very low, low, moderate, high, and very high. Covariates were demographic and health-related variables. Logistic regression models were computed separately for each outcome in 1999 and 2002. Main results: In multivariable models, very high physical activity was associated with decreased risk of a fall in 1999 (odds ratio 0.67, 95% CI 0.48 to 0.93) and in 2002 (odds ratio 0.62, 95% CI 0.42 to 0.92). High/very high physical activity was associated with decreased risk of broken or fractured bones in 2002 (odds ratio 0.64, 95% CI 0.42 to 0.96). No significant association was found between physical activity and injury from a fall. Conclusions: The results suggest that at least daily moderate to vigorous physical activity is required for the primary prevention of falls to the ground and broken or fractured bones in women aged 70-75 years.