Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analy ....Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analysis and asymptotic optimisation of singularly perturbed control systems and Markov decision processes. In particular, we plan to establish links between general nonlinear optimal control problems with time average criteria and linear programming problems in the space of limit occupational measures generated by the underlying control system.Read moreRead less
Access to mobile communications for older people with impairments. This research will determine the potential to use mobile communications to enable older people with impairments to remain active members of the community. it will test the capacity for mobiles to enable:
* older people with impairments to maintain social communication links and summon assistance; and
* caregivers to maintain contact with the older person during the day.
Providing these capabilities has the potential to improve ....Access to mobile communications for older people with impairments. This research will determine the potential to use mobile communications to enable older people with impairments to remain active members of the community. it will test the capacity for mobiles to enable:
* older people with impairments to maintain social communication links and summon assistance; and
* caregivers to maintain contact with the older person during the day.
Providing these capabilities has the potential to improve the wellbeing and confidence of older people with impairments and their caregivers and to reduce negative outcomes due to falls or other medical problems by enabling older people to summon assistance easily.Read moreRead less