Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the pr ....Numerical Algorithms for Constructing Feedback Control Laws. Many decision making problems in engineering, finance and management are governed by optimal feedback control systems. These systems are normally too complex to be solved by conventional numerical methods. In this project, we propose to develop novel numerical algorithms for constructing feedback control laws. We will also investigate the procatical significance of these algorithms for solving real-world problems. The outcome of the project will provide efficient and accurate tools for constructing feedback laws in high dimensions.Read moreRead less
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication i ....Efficient Computational Methods for Constrained Path Problems. We consider a class of path design problems which arise when an object needs to traverse between two points through a specified region. The region may be a continuous space or the path may be restricted to the edges of a network. The path must optimise a prescribed criterion such
as risk, reliability or cost and satisfy a number of constraints.
Problems of this type readily arise in the defence, transport and
communication industries. In addition to efficient solution methods
for these problems the project will produce computational tools for
a wide range of related network routing problems.Read moreRead less
A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient ....A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.Read moreRead less
3D Diffusion Models for Generating and Understanding 3D Scenes. Diffusion models, such as DALL-E2 and Imagen, have achieved remarkable success in generating photorealistic images and hold promise to solve long-standing computer vision problems. However, 3D scene generation remains unexplored. This research project aims to bridge the gap by developing 3D diffusion models capable of generating complete 3D scenes. This will advance our theoretical understanding of diffusion in complex 3D environmen ....3D Diffusion Models for Generating and Understanding 3D Scenes. Diffusion models, such as DALL-E2 and Imagen, have achieved remarkable success in generating photorealistic images and hold promise to solve long-standing computer vision problems. However, 3D scene generation remains unexplored. This research project aims to bridge the gap by developing 3D diffusion models capable of generating complete 3D scenes. This will advance our theoretical understanding of diffusion in complex 3D environments and open up new possibilities for applications in fields such as virtual reality, architecture, and city planning. The proposed 3D diffusion models will also enhance the accuracy of computer vision tasks related to 3D scene understanding, such as object detection, tracking, and semantic segmentation.Read moreRead less
Paternal effects: Non-genetic inheritance via seminal fluid? This project seeks to improve understanding of the mechanisms of non-genetic inheritance and its ability to promote adaptation. Although offspring are known to resemble their parents through the action of genes, there is now a growing awareness of non-genetic mechanisms by which parents can affect the growth and health of their offspring. This project aims to quantify the putative role of seminal fluid in so-called non-genetic inherita ....Paternal effects: Non-genetic inheritance via seminal fluid? This project seeks to improve understanding of the mechanisms of non-genetic inheritance and its ability to promote adaptation. Although offspring are known to resemble their parents through the action of genes, there is now a growing awareness of non-genetic mechanisms by which parents can affect the growth and health of their offspring. This project aims to quantify the putative role of seminal fluid in so-called non-genetic inheritance. Using an insect model, the project aims to identify proteins in the seminal fluid that promote early embryo development, explore how males allocate these proteins to their mates, and how females adjust their own reproduction in response to seminal fluid proteins. Improving knowledge of these mechanisms may enable the development of interventions to control the unwanted evolution of harmful organisms.Read moreRead less
Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will rev ....Optimal discrete-valued control strategies: A new direction in nonlinear optimal control. The field of optimal control is concerned with finding ways to manipulate systems in the best possible manner. The latest research in optimal control focuses primarily on systems in which the input variables are continuous-valued, yet many real-world systems are controlled via discrete input variables that assume values from a finite set - such as "On/Off", "Open/Closed", "Gear 1/2/3". This project will revolutionise the field of optimal control through the development of new theory and computational tools for optimising discrete input variables in constrained nonlinear systems. The new results will be applied to solve critical problems in the areas of shale-gas extraction, chromatography, pipeline transportation, and micro-robots.Read moreRead less
Female fluids in post-copulatory sexual selection. This project aims to test the causes, consequences and mechanisms of female reproductive fluids in modulating fertilisation bias in a model vertebrate species, the zebrafish. Female reproductive fluids (the fluid surrounding eggs) may moderate sperm selection by females, thus facilitating mate choice at the gamete level. This project will study interactions involving sperm and female reproductive fluid in an evolutionary framework. The intended ....Female fluids in post-copulatory sexual selection. This project aims to test the causes, consequences and mechanisms of female reproductive fluids in modulating fertilisation bias in a model vertebrate species, the zebrafish. Female reproductive fluids (the fluid surrounding eggs) may moderate sperm selection by females, thus facilitating mate choice at the gamete level. This project will study interactions involving sperm and female reproductive fluid in an evolutionary framework. The intended outcome is increased knowledge of these processes, and better understanding of how non-gamete factors affect fertility, which could benefit fields as diverse as human fertility and aquaculture.Read moreRead less
The developmental and evolutionary origins of vertebrate fins and limbs. This project aims to investigate the origin of paired appendages, a major event in early vertebrate history that changed ecological opportunity and fuelled the radiation of jawed vertebrates. This project expects to generate new knowledge on the mechanism that drove this innovation, which despite over a century of debate, remains one
of the great unknowns of comparative vertebrate evolution. Expected outcomes of this projec ....The developmental and evolutionary origins of vertebrate fins and limbs. This project aims to investigate the origin of paired appendages, a major event in early vertebrate history that changed ecological opportunity and fuelled the radiation of jawed vertebrates. This project expects to generate new knowledge on the mechanism that drove this innovation, which despite over a century of debate, remains one
of the great unknowns of comparative vertebrate evolution. Expected outcomes of this project include uncovering the anatomical changes underpinning the origin of the vertebrate appendicular system. This should provide significant benefits as it will inform our own natural history and provide a paradigm for studying gene network
conservation, phylogenetic modifications, and the acquisition of novel structures.Read moreRead less
Sperm Competition and Sexual Selection: answering fundamental questions in evolutionary biology. This research will yield results that are at the cutting-edge in evolutionary biology, that will have a significant international impact, promoting the international profile of Australian science. The award will build on an existing world-class centre of excellence for research, and will train internationally competitive research scientists, adding to Australia's scientific capabilities. The researc ....Sperm Competition and Sexual Selection: answering fundamental questions in evolutionary biology. This research will yield results that are at the cutting-edge in evolutionary biology, that will have a significant international impact, promoting the international profile of Australian science. The award will build on an existing world-class centre of excellence for research, and will train internationally competitive research scientists, adding to Australia's scientific capabilities. The research centre's connections with local fertility clinics, and their work on human sperm quality, has the potential to inform those studying human fertility.Read moreRead less