Differential inclusions and robust control theory

Uncontrolled systems (x) over dot is an element of Ax, where A is a non-empty compact set of matrices, and controlled systems (x) over dot is an element of Ax + Bu are considered. Higher-order systems 0 is an element of Px - Du, where and are sets of differential polynomials, are also studied. It is shown that, under natural conditions commonly occurring in robust control theory, with some mild additional restrictions, asymptotic stability of differential inclusions is guaranteed. The main results are variants of small-gain theorems and the principal technique used is the Krasnosel'skii-Pokrovskii principle of absence of bounded solutions.

Should optional properties be used in conceptual modelling? A theory and three empirical tests

An important feature of some conceptual modelling grammars is the features they provide to allow database designers to show real-world things may or may not possess a particular attribute or relationship. In the entity-relationship model, for example, the fact that a thing may not possess an attribute can be represented by using a special symbol to indicate that the attribute is optional. Similarly, the fact that a thing may or may not be involved in a relationship can be represented by showing the minimum cardinality of the relationship as zero. Whether these practices should be followed, however, is a contentious issue. An alternative approach is to eliminate optional attributes and relationships from conceptual schema diagrams by using subtypes that have only mandatory attributes and relationships. In this paper, we first present a theory that led us to predict that optional attributes and relationships should be used in conceptual schema diagrams only when users of the diagrams require a surface-level understanding of the domain being represented by the diagrams. When users require a deep-level understanding, however, optional attributes and relationships should not be used because they undermine users' abilities to grasp important domain semantics. We describe three experiments which we then undertook to test our predictions. The results of the experiments support our predictions.

Closure of the Challinor Centre II: An extended report on 95 individuals after 12 months of community living

As part of an institutional closure programme, 95 individuals with an intellectual disability were relocated to community-based group homes. Each individual was assessed 6 months prior to the relocation and then again after 1, 6, and 12 months of community living. Assessments involved ratings of adaptive and maladaptive behaviour, choice-making, and life circumstances. The group means comparing institution to community ratings showed improvements in adaptive functioning but no significant change in maladaptive behaviour. There were also improvements in life circumstances and increased opportunities for choice-making following relocation to the community. These outcomes suggest that relocation to the community was associated with a more active and normalised lifestyle than experienced in the institutional setting.

Patch dynamics and metapopulation theory: the case of successional species

We present a mathematical framework that combines extinction-colonization dynamics with the dynamics of patch succession. We draw an analogy between the epidemiological categorization of individuals (infected, susceptible, latent and resistant) and the patch structure of a spatially heterogeneous landscape (occupied-suitable, empty-suitable, occupied-unsuitable and empty-unsuitable). This approach allows one to consider life-history attributes that influence persistence in patchy environments (e.g., longevity, colonization ability) in concert with extrinsic processes (e.g., disturbances, succession) that lead to spatial heterogeneity in patch suitability. It also allows the incorporation of seed banks and other dormant life forms, thus broadening patch occupancy dynamics to include sink habitats. We use the model to investigate how equilibrium patch occupancy is influenced by four critical parameters: colonization rate? extinction rate, disturbance frequency and the rate of habitat succession. This analysis leads to general predictions about how the temporal scaling of patch succession and extinction-colonization dynamics influences long-term persistence. We apply the model to herbaceous, early-successional species that inhabit open patches created by periodic disturbances. We predict the minimum disturbance frequency required far viable management of such species in the Florida scrub ecosystem. (C) 2001 Academic Press.

A social identity theory of leadership

A social identity theory of leadership is described that views leadership as a group process generated by social categorization and prototype-based depersonalization processes associated with social identity. Group identification, as self-categorization, constructs an intragroup prototypicality gradient that invests the most prototypical member with the appearance of having influence; the appearance arises because members cognitively and behaviorally conform to the prototype. The appearance of influence becomes a reality through depersonalized social attraction processes that make followers agree and comply with the leader's ideas and suggestions. Consensual social attraction also imbues the leader with apparent status and creates a status-based structural differentiation within the group into leader(s) and followers, which has characteristics of unequal status intergroup relations. In addition, a fundamental attribution process constructs a charismatic leadership personality for the leader, which further empowers the leader and sharpens the leader-follower status differential. Empirical support for the theory is reviewed and a range of implications discussed, including intergroup dimensions, uncertainty reduction and extremism, power, and pitfalls of prototype-based leadership.

Examining the effects of work externalization through the lens of social identity theory

This study examines whether dissimilarity among employees that is based on their work status (i.e., whether they are temporary or internal workers) influences their organization-based self-esteem, their trust in and attraction toward their peers, and their altruism. A model that is based on social identity theory posits that work-status dissimilarity negatively influences each outcome variable and that the strength of this relationship varies depending on whether employees have temporary or internal status and the composition of their work groups. Results that are based on a survey of 326 employees (189 internal and 137 temporary) from 34 work groups, belonging to 2 organizations, indicate that work-status dissimilarity has a systematic negative effect only on outcomes related to internal workers when they work in temporary-worker-dominated groups.

Irrational schematic beliefs and psychological distress in caregivers of people with traumatic brain injury

Objective: To investigate the relation between irrational schematic beliefs and psychological distress in caregivers of persons with traumatic brain injury (TBI). Design: Cross-sectional mail survey. Participants: One hundred sixteen caregivers of persons with TBI living in the Australian states of Victoria and Queensland who were members of community support groups and brain injury associations. Measures: The Irrational Beliefs Inventory, Brief Symptom Inventory, income satisfaction, degree of personality and behavior change in the TBI individual, and injury severity. Results: Hierarchical regression analyses showed that after controlling for the effects of characteristics of the caregiving situation and the individual with TBI, greater adherence to irrational beliefs was related to higher levels of global psychological distress. Specifically, irrational beliefs related to Worrying were associated with all areas of psychological distress. Conclusion: Results support the cognitive theory proposal that irrational beliefs play an important role in the adaptation to TBI caregiving. Findings suggest the inclusion of cognitive therapy strategies in interventions for caregivers.

Living with under-fives: a programme for parents with a mental illness

Parenthood is considered a major life role. Yet for people with a major mental illness, it is one that is fraught with difficulties and for which they receive the least support. Research on parenting and parenting programmes for people with a major mental illness is sparse and most of the papers presented do not provide a working model that can be easily replicated. This lack of support for parents or knowledge of working parenting programmes has often resulted in children being placed in care. Occupational therapists working in an Australian mental health service developed a two-stream programme which aimed to consolidate the parent/child relationship and enable the parents to develop effective parenting skills. This programme has a parents' educational stream and a stream with developmentally appropriate activities for the children. Observed outcomes have included the parents becoming more responsive to their children, increased treatment compliance, improved community access, and a decrease in the number of children in temporary foster care.

General strain theory, situational anger, and social networks: An assessment of conditioning influences

Using a random sample of university students to test general strain theory (GST), this study expanded on previous tests of strain theory in two ways. First, situational anger was measured, a construct that had not been used thus far in assessments of general strain. In addition, this research examined the role of social support networks as a conditioning influence on the effects of strain and anger on intentions to commit three types of criminal behavior (serious assault, shoplifting, and driving under the influence of alcohol [DUI]). The results provided mixed support for GST. While the link between anger and crime was confirmed, the nature of that relationship in some cases ran counter to the theory. Moreover, the evidence indicated that the role of social support networks was complex, and varied as a conditioning influence on intentions to engage in criminal activities. (C) 2001 Elsevier Science Ltd. All rights reserved.