Performance evaluation and characterisation for filtering in multi-object system. The project falls within the National Research Priority of 'Safeguarding Australia' and associated research priority goal of 'Transforming Defence Technology'. The project outcomes will provide cutting edge technology in surveillance, and monitoring of potential threat in our air, sea, and land space. Fast, reliable information enable our personnel to make timely, intelligent judgements, and appropriate responses i ....Performance evaluation and characterisation for filtering in multi-object system. The project falls within the National Research Priority of 'Safeguarding Australia' and associated research priority goal of 'Transforming Defence Technology'. The project outcomes will provide cutting edge technology in surveillance, and monitoring of potential threat in our air, sea, and land space. Fast, reliable information enable our personnel to make timely, intelligent judgements, and appropriate responses in the event of a threat, thereby maintaining Australia's operational advantage. Other application areas that benefits from our research include radar, sonar, guidance, navigation, air traffic control, image processing, oceanography, autonomous vehicles and robotics, remote sensing, and biomedical research.
Read moreRead less
Queueing systems and their application to telecommunication systems and dams. The aim of this project is to investigate the behaviour of large queueing systems under critical load conditions and solve problems related to large telecommunication systems, information technologies and dams. The project will have significant economic and social benefits. It will lead to the solution of high priority problems of optimal control of water resources, as well as problems in design technology of high spee ....Queueing systems and their application to telecommunication systems and dams. The aim of this project is to investigate the behaviour of large queueing systems under critical load conditions and solve problems related to large telecommunication systems, information technologies and dams. The project will have significant economic and social benefits. It will lead to the solution of high priority problems of optimal control of water resources, as well as problems in design technology of high speed telecommunication networks. It will suggest new more profitable approaches to known problems such as effective bandwidth problem, analysis and design of computer networks, optimal control of dams, and anticipate not ordinary results and solutions. It will contribute to the mathematical culture in Australia and worldwide. Read moreRead less
Control of Markov jumping processes with constraints. The project outcomes will constitute the set of tools for modelling and optimisation of complex stochastic systems and will lead to new and more precise characterisations of optimal behaviour of complex controllable systems arising in Resource Management, Engineering and Telecommunications. Therefore, the project fits to the research priority areas Breakthrough Science and Frontier Technologies in the topic of mathematical modelling and optim ....Control of Markov jumping processes with constraints. The project outcomes will constitute the set of tools for modelling and optimisation of complex stochastic systems and will lead to new and more precise characterisations of optimal behaviour of complex controllable systems arising in Resource Management, Engineering and Telecommunications. Therefore, the project fits to the research priority areas Breakthrough Science and Frontier Technologies in the topic of mathematical modelling and optimisation of Complex Systems.Read moreRead less
Stability of Generalised Equations and Variational Systems. This project seeks to advance a new mathematical theory of variational analysis which may lead to applications in optimisation. The emphasis will be on extensions of regularity concepts appropriate for studying stability (the ‘radius of good behaviour’) of solutions to optimisation problems, particularly those of semi-infinite optimisation and programs with equilibrium constraints, when standard assumptions are not satisfied. The expect ....Stability of Generalised Equations and Variational Systems. This project seeks to advance a new mathematical theory of variational analysis which may lead to applications in optimisation. The emphasis will be on extensions of regularity concepts appropriate for studying stability (the ‘radius of good behaviour’) of solutions to optimisation problems, particularly those of semi-infinite optimisation and programs with equilibrium constraints, when standard assumptions are not satisfied. The expected outcomes may have an impact in enhancing the convergence of numerical methods and facilitating the post-optimal analysis of solutions. It may also generate new tools for increasing efficiencies and cost reductions in engineering, logistics, economics, financial systems, and environmental science.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
A stochastic geometric framework for Bayesian sensor array processing. This project develops a mathematical framework, and a new generation of techniques, for sensor array processing to address real-world problems with uncertainty in array parameters and number of signals. The outcomes will enhance the capability of sensors in many application areas including, radar, sonar, astronomy and wireless communications.
The evolution of dispersal on range edges. The rate at which an invasive species spreads, and the ability of a native species to adapt to environmental change, are both contingent on the dispersal ability of the species. Dispersal ability, however, evolves rapidly on the edge of a species' range. The rapid evolution of dispersal, therefore, determines the eventual range-limits of invasive species, as well as of native species responding to changing conditions. This research will provide tools ....The evolution of dispersal on range edges. The rate at which an invasive species spreads, and the ability of a native species to adapt to environmental change, are both contingent on the dispersal ability of the species. Dispersal ability, however, evolves rapidly on the edge of a species' range. The rapid evolution of dispersal, therefore, determines the eventual range-limits of invasive species, as well as of native species responding to changing conditions. This research will provide tools with which to predict the direction and rate of dispersal evolution on range-edges. The results of this work will, thus, massively facilitate management of invasive species and climate change.Read moreRead less
Insect-inspired flapping wing robots: autonomous flight control systems. This project aims to design a novel control scheme for insect-inspired, flapping-wing, micro aerial vehicles. This type of micro aerial vehicle has complex, periodic, time-varying and inherently unstable dynamics, which are practically challenging to model and implement in hardware. This project will design energy-based automatic stabilization and task-dependent control, and develop the insect-inspired platform for testing ....Insect-inspired flapping wing robots: autonomous flight control systems. This project aims to design a novel control scheme for insect-inspired, flapping-wing, micro aerial vehicles. This type of micro aerial vehicle has complex, periodic, time-varying and inherently unstable dynamics, which are practically challenging to model and implement in hardware. This project will design energy-based automatic stabilization and task-dependent control, and develop the insect-inspired platform for testing nonlinear control strategies. The expected outcomes will include new system and control theories, concepts, principles and technologies in controller design that can provide reliable flight control for bio-inspired, flapping-wing systems.Read moreRead less
Comparative biosecurity informatics to anticipate invasive species threats. Invasive species cause billions in economic damages to Australia, but we do not have effective means to identify dangerous species before they arrive and cause harm. This project aims to overcome this challenge using the latest techniques in machine learning combined with genetic, ecological, and functional datasets for thousands of species. This project expects to generate a novel framework that allows us to identify an ....Comparative biosecurity informatics to anticipate invasive species threats. Invasive species cause billions in economic damages to Australia, but we do not have effective means to identify dangerous species before they arrive and cause harm. This project aims to overcome this challenge using the latest techniques in machine learning combined with genetic, ecological, and functional datasets for thousands of species. This project expects to generate a novel framework that allows us to identify and rank dangerous invasive species in an unbiased way, helping to safeguard Australia's unique biological community. Expected outcomes include improved methods for detecting ecologically and functionally similar species, providing substantial economic efficiency benefits to Australian biosecurity.Read moreRead less
Complexity-manageable methodologies and efficient computational tools for analysis and design of large-scale systems. The tools to be developed in this project have impact on a broad range of disciplines, including system analysis, feedback control technology, signal processing, communication network, and information theory. Practically, the success of this project will create cutting edge technologies applicable to design and management of important infrastructures of the modern society such as ....Complexity-manageable methodologies and efficient computational tools for analysis and design of large-scale systems. The tools to be developed in this project have impact on a broad range of disciplines, including system analysis, feedback control technology, signal processing, communication network, and information theory. Practically, the success of this project will create cutting edge technologies applicable to design and management of important infrastructures of the modern society such as communication networks, transportation systems, electrical power grids, and collaborative intelligent machines, and water distribution networks. Success of this project will bring novel methodologies and computational tools which help engineers to systematically design and validate the performance of their engineering systems.Read moreRead less