Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were ....Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were frozen, possesses certain ergodicity properties expressed in the existence of its limit occupational measures set. Conditions for the existence of such a set will be studied and its structure will be described.Read moreRead less
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
ARC Communications Research Network. Building on a strong platform of existing research excellence, the Aim of the Network is to facilitate nation-wide collaborative research, promoting four intersecting research Themes: Mobile and Wireless Communications, Rural Communications, Broadband and Optical Networks, and Fundamentals of Emerging Media. Each Theme is formulated to drive multidisciplinary, innovative research as well as inspire new collaborative initiatives. Four Programs encapsulate the ....ARC Communications Research Network. Building on a strong platform of existing research excellence, the Aim of the Network is to facilitate nation-wide collaborative research, promoting four intersecting research Themes: Mobile and Wireless Communications, Rural Communications, Broadband and Optical Networks, and Fundamentals of Emerging Media. Each Theme is formulated to drive multidisciplinary, innovative research as well as inspire new collaborative initiatives. Four Programs encapsulate the core activities of the Network: Researcher Mobility, Workshops and Conferences, Postgraduate Education, and Knowledge Management Systems. The Network is expected to add significant value to pre-existing investments and raise the profile of Australian telecommunications research.Read moreRead less
Advanced Sweep-Line State Space Reduction Methods for Verification of Concurrent and Distributed Systems. The rigorous design and analysis of distributed systems, such as the Internet and its applications, is known to be a difficult problem. This project will develop new techniques for reducing the memory and time required for computer-aided verification of concurrent and distributed systems. The technique will be combined with other reduction techniques to increase their range of applicability. ....Advanced Sweep-Line State Space Reduction Methods for Verification of Concurrent and Distributed Systems. The rigorous design and analysis of distributed systems, such as the Internet and its applications, is known to be a difficult problem. This project will develop new techniques for reducing the memory and time required for computer-aided verification of concurrent and distributed systems. The technique will be combined with other reduction techniques to increase their range of applicability. The reduction techniques will be implemented and evaluated using important transaction protocols for electronic commerce and internet enabled wireless communications. The technique will also be applied to so called 'object-oriented' modelling languages.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
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0561229
Funder
Australian Research Council
Funding Amount
$518,427.00
Summary
Establishment of a Multiphoton Microscope Imaging Platform for Live Cell and Tissue, and Optical Imaging. This proposal seeks to establish a multidisciplinary multiphoton imaging laboratory, expanding the imaging capabilities of a Core Regional Imaging Facility. This Facility supports researchers across all Monash campuses and hospital-based research Schools, as well as outside research groups in the Victorian region. Furthermore, this equipment will support significant fiber optic research at V ....Establishment of a Multiphoton Microscope Imaging Platform for Live Cell and Tissue, and Optical Imaging. This proposal seeks to establish a multidisciplinary multiphoton imaging laboratory, expanding the imaging capabilities of a Core Regional Imaging Facility. This Facility supports researchers across all Monash campuses and hospital-based research Schools, as well as outside research groups in the Victorian region. Furthermore, this equipment will support significant fiber optic research at Victoria University for the development of communication and endoscopic technology. The instrument design will allow multiple use of the lightsource and choice of specific imaging devices (microscopes) to ensure that applications in biocellular imaging, intravital microscopy and fiber optic design and imaging are individually optimised.Read moreRead less