System identification of microstructure in the brain using magnetic resonance. Magnetic Resonance Imaging technologies will be exploited to probe the microstructure of the brain, using powerful Bayesian optimisation techniques and innovative uses of magnetic resonance. The project will in particular develop non-invasive imaging methods to quantify iron content in the brain, important for research on dementia and Alzheimer's disease.
Functional state observers for large-scale interconnected systems. This project will produce conceptual advances with new design rules to develop robust and efficient functional state observers for interconnected systems. The outcomes will advance the theory of functional observers and improve the operation, efficiency and performance of critical infrastructure such as power grids, water and traffic networks.
Stability and performance analysis for uncertain time-varying interconnected systems. This project will deliver new mathematical tools for the study of interconnected systems. This will broaden the scope for rigorously certifying engineered systems and understanding interactions in the natural world. Potential application areas include telecommunications, transport, water distribution, smart-grids, neuroscience and cell biology.
Efficient computational methods for worst-case analysis and optimal control of nonlinear dynamical systems. Natural and technological systems can exhibit extremely complicated behaviour in worst-case scenarios. This project will develop efficient mathematical and computational tools that will enable this behaviour to be understood and controlled.
Discovery Early Career Researcher Award - Grant ID: DE140100620
Funder
Australian Research Council
Funding Amount
$395,220.00
Summary
Inference, control and protection of interdependent spatial networked structures. Networked structures are everywhere and modern societies largely depend on their proper functioning. Some of these networks are spatial with each node having a geographical tag. Examples include power grids, the internet and transportation networks. These networks are often interdependent where their functioning depends on each other. This project will establish a mathematical framework to efficiently observe and c ....Inference, control and protection of interdependent spatial networked structures. Networked structures are everywhere and modern societies largely depend on their proper functioning. Some of these networks are spatial with each node having a geographical tag. Examples include power grids, the internet and transportation networks. These networks are often interdependent where their functioning depends on each other. This project will establish a mathematical framework to efficiently observe and control interdependent spatial networks and develop design strategies in order to maximise residency of spatial networks against catastrophic failures in their components. The outcomes of the project will protect the Australian power grid and transportation networks against random and intentional failures. Read moreRead less
Systems modelling of the cardiac fibroblast. The cardiac fibroblast is a specialised cell in the heart. New evidence shows that this cell type is central to heart function, but relatively little is known about how and why. This project will develop mathematical modelling to characterise how the cardiac fibroblast regulates the functioning of the adult heart.
Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approac ....Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approaches that struggle to rapidly respond to new information. This should provide significant benefits. Specifically, this project aims to facilitate a technological leap that generates smaller, faster, and more powerful embedded systems such as broadband services, mobile phones, medical imagining, radar and avionics.Read moreRead less
Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes ....Digitally networked dynamical systems: Performance and robustness analysis. The project aim is to advance mathematical and computational tools for analyzing collections of dynamical systems that interact with each other by the digital exchange of information. The significance of this aim stems from the emergence and growing complexity and scale of such cyber-physical networks in diverse domains, including agriculture, manufacturing, transport, and infrastructure management. The expected outcomes will broaden the scope for exploring achievable performance in the design and deployment of systems that leverage networked interaction for operational gains. Beyond the technical advances, benefits will include sustaining Australia's strong reputation in systems engineering research and researcher training in this area.Read moreRead less
Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mat ....Dynamical systems theory and mathematical modelling of viral infections. This project aims to use mathematical modelling to elucidate the emergence of complex, population-level behaviour from local interactions. In particular, the project will study the self-organising dynamics of the immune response. The project expects to develop new mathematical models of self-organisation, advance links between computational agent-based modelling and dynamical systems modelling, and build new tools for mathematically analysing complex biological systems. Expected outcomes include strengthened collaborations within Australia and with South Korea. Expected benefits include joint research funding with Korean institutions, increased international visibility, and expanded scope for high school and community outreach.Read moreRead less
New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuo ....New Frontiers and Advances in Discrete Integrable Systems. Integrable systems boast a long and venerable history, and have such famous members as the Kepler system, the Korteweg-de Vries equation, and the sine-Gordon equation. More recently, interest in integrable systems has expanded to include systems with discrete time, that is, ordinary difference equations (or maps) and integrable partial difference equations. These discrete integrable systems are arguably more fundamental than the continuous-time ones. Based upon recent breakthroughs this study will combine analysis, geometry, and computer algebra to expand and systematise this new interdisciplinary field of discrete integrable systems.Read moreRead less