Exploring new tools in nonlinear filtering and control. The conceptual advances with new design rules to be developed in the area of nonlinear filtering and control. Major benefits of this project will be its direct applications to state estimation and control problems in automobile, manufacturing, military hardware and medical device industries, and its increased capacity of contact research.
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.
Topological Analysis and Control Design for Heterogeneous Multi-agent Systems. A multi-agent system refers to a cooperative group of autonomous agents for achieving certain collective behaviour such as flight formation and micro-robot synchronisation. The project aims to: study network topologies in biological systems and understand their applicability to the control of man-made multi-agent systems; and, develop a new theoretical framework and design methodology for control of heterogeneous mult ....Topological Analysis and Control Design for Heterogeneous Multi-agent Systems. A multi-agent system refers to a cooperative group of autonomous agents for achieving certain collective behaviour such as flight formation and micro-robot synchronisation. The project aims to: study network topologies in biological systems and understand their applicability to the control of man-made multi-agent systems; and, develop a new theoretical framework and design methodology for control of heterogeneous multi-agent systems. The expected outcomes include: understanding and application of biologically inspired network topologies for multi-agent systems; new control design methodology for heterogeneous multi-agent systems; and, new applications of multi-agent control in collective robotics and smart electricity grid.Read moreRead less