Co-design and dynamic mission optimisation of hypersonic flight vehicles. This project aims to deliver fundamental knowledge by integrating the modelling and control with the design of next generation hypersonic platforms. In an era where Australia's national security reliance on geographic isolation and support from allied forces are being challenged, the research outcomes of this project will play an important role in understanding the capabilities of hypersonic systems. The project will also ....Co-design and dynamic mission optimisation of hypersonic flight vehicles. This project aims to deliver fundamental knowledge by integrating the modelling and control with the design of next generation hypersonic platforms. In an era where Australia's national security reliance on geographic isolation and support from allied forces are being challenged, the research outcomes of this project will play an important role in understanding the capabilities of hypersonic systems. The project will also have significant spillover benefits into other complex system domains, where computational tools can be used to aid in design leading to high embedded-IP products for Australian industry. Furthermore, the proposal encompasses a strong research training aspect, with graduates exposed to leading edge industry and academia.Read moreRead less
Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and ....Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and the economy. This project expects to bring about long-term impact on quantitative finance and related applications through providing a deep understanding of, and a new perspective for, the design, risk and fairness of the finance, property and insurance markets.Read moreRead less
G-expectation and its applications to nonlinear risk management. This project will develop novel theories and methods for nonlinear risk management based on nonlinear expectations and Backward Stochastic Differential Equations. The expected outcomes of the project will place Australia in the forefront and the leading position of these fields.