The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - t ....The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - the Askey table from the theory of hypergeometric orthogonal polynomials. A number of tractable PhD projects are suggested by this proposal.Read moreRead less
Finite-dimensional Sampled-data Control of Nonlinear Spatially Distributed Parameter Systems. Optical communication networks, smart materials and fluid flows, are all examples of systems whose behaviour can be significantly improved by automatic control. These are identified as some of the key technologies that will shape our future. This project will contribute to the fundamental science and engineering design of such diverse systems. Two postdoctoral fellows and one graduate student will be t ....Finite-dimensional Sampled-data Control of Nonlinear Spatially Distributed Parameter Systems. Optical communication networks, smart materials and fluid flows, are all examples of systems whose behaviour can be significantly improved by automatic control. These are identified as some of the key technologies that will shape our future. This project will contribute to the fundamental science and engineering design of such diverse systems. Two postdoctoral fellows and one graduate student will be trained in this important emerging field.Read moreRead less
Analysis and design of control systems with saturation and time-delay. Control engineering is an enabling technology without which most modern engineering systems, such as aircrafts or Internet, can not operate properly. Actuator saturation and time-delays are undesirable phenomena that often arise in control systems leading to poor performance and sometimes instability. For example, both of these phenomena arise in control of modern telecommunication systems, such as Active Queue Management in ....Analysis and design of control systems with saturation and time-delay. Control engineering is an enabling technology without which most modern engineering systems, such as aircrafts or Internet, can not operate properly. Actuator saturation and time-delays are undesirable phenomena that often arise in control systems leading to poor performance and sometimes instability. For example, both of these phenomena arise in control of modern telecommunication systems, such as Active Queue Management in TCP networks. The project aims at tackling these phenomena by using recently developed techniques in antiwindup for saturating actuators and by revisiting some classical methods for Smith predictor design for time-delayed systems.Read moreRead less
Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowle ....Multi-scale modelling of cell migration in developmental biology. Interpretative and predictive tools are needed for the comprehensive understanding of directed cell migration in the medical sciences. Mathematical models and modelling methodologies developed in this project will make a significant contribution to the investigation of cell migration and the testing and generation of hypotheses. Such models are needed to understand observed cellular patterns. This project will contribute to knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes should lead to prediction and treatment of congenital disorders and contribute to a healthy start to life.Read moreRead less
Modelling and estimation methods for discrete multi-dimensional systems. Multi-dimensional signal processing plays a role in a variety of application areas, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The success of the project will provide mathematical tools for the advancement of the state-of-the-art in these broad areas.
Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting ....Mathematical modelling in developmental biology. Modern observational techniques in biology and medicine generate a wealth of genetic and molecular detail. Mathematical modelling integrates and synthesises this information to provide insight into how complex biological processes are coupled to produce experimentally observed behaviour. Mathematical modelling generates experimentally testable predictions that can be used to verify the validity of the models. This program is dedicated to exciting opportunities for advancing our knowledge of normal and abnormal developmental processes, especially in embryonic growth. Understanding these processes will lead to prediction and treatment of congenital disorders and contribute to a healthy start to life. Read moreRead less
Statistical Methods for Discovering Ribonucleic acids (RNAs) contributing to human diseases and phenotypes. Identifying the causative genetic factors involved in quantitative phenotypes and diseases is a major goal of biology in the 21st century and beyond. A crucial step towards this goal is identifying and classifying the functional non-protein-coding Ribonucleic acids (RNAs) encoded in the human genome. This project will make major contributions to international efforts in this area by identi ....Statistical Methods for Discovering Ribonucleic acids (RNAs) contributing to human diseases and phenotypes. Identifying the causative genetic factors involved in quantitative phenotypes and diseases is a major goal of biology in the 21st century and beyond. A crucial step towards this goal is identifying and classifying the functional non-protein-coding Ribonucleic acids (RNAs) encoded in the human genome. This project will make major contributions to international efforts in this area by identifying RNA molecules that contribute to quantitative phenotypes including susceptibility to disease. As such, it will directly benefit fundamental science via the discovery and classification of new molecules. Indirectly, it will lead to breakthroughs in biology, and consequently to major medical and pharmaceutical advances in the diagnosis and treatment of genetic disease.Read moreRead less
Special Research Initiatives - Grant ID: SR0354553
Funder
Australian Research Council
Funding Amount
$30,000.00
Summary
Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addres ....Network on Control, Dynamics and Systems (NCDS). Control systems theory provides principles and methods for design of complex engineering systems that automatically maintain desired performance despite changes in their environment (e.g. autopilot in an aircraft). This field is facing many new exciting challenges at the dawn of new millenium, such as design of complex engineering systems in possibly networked, asynchronous and distributed environments. The network will play a major role in addressing these challenges by providing a national research focus, facilitating collaboration and the sharing of people and ideas. By delivering a National Graduate School, the network will enhance learning conditions for graduate students. Moreover, it will provide an important catalyst between Australian universities and industry. This initiative will be essential in assessing the present state of control research in Australia and drafting a detailed plan for the network's leading research role in the future. Read moreRead less
Extremum seeking control: analysis, design and applications. Optimal control is one of the central pillars in the field of automatic control, but is prevented from use in many engineering applications due to the computational complexity and system knowledge requirements typically associated with the technique. Extremum seeking promises the performance of an optimal approach, but with the benefit of real time implementation and very relaxed requirements on the system knowledge. Through improved u ....Extremum seeking control: analysis, design and applications. Optimal control is one of the central pillars in the field of automatic control, but is prevented from use in many engineering applications due to the computational complexity and system knowledge requirements typically associated with the technique. Extremum seeking promises the performance of an optimal approach, but with the benefit of real time implementation and very relaxed requirements on the system knowledge. Through improved understanding of extremum seeking algorithms, applications from vehicle dynamics to emissions reduction to manufacturing processes will benefit with greater levels of performance and robustness.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