Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were ....Multiscale Singularly Perturbed Control Systems. We propose to develop a unified averaging technique to analyse deterministic and stochastic multiscale singularly perturbed control systems. Such systems arise as mathematical models of real-world dynamical systems in which state variables can change their values with the rates of different orders of magnitude. The technique is based on the assumption that the system, which would describe the dynamics of the fast state variables if slow ones were frozen, possesses certain ergodicity properties expressed in the existence of its limit occupational measures set. Conditions for the existence of such a set will be studied and its structure will be described.Read moreRead less
Dynamical systems and iterative decoding of low-density parity-check codes. Modern telecommunication systems are increasingly built on principles of iteration and feedback. By contributing to the knowledge base of iterative telecommunication systems, this project addresses important fundamental problems in the area of telecommunications. The Federal Government has clearly indicated that it recognises the importance that information and communications technology (ICT) plays in the economic and so ....Dynamical systems and iterative decoding of low-density parity-check codes. Modern telecommunication systems are increasingly built on principles of iteration and feedback. By contributing to the knowledge base of iterative telecommunication systems, this project addresses important fundamental problems in the area of telecommunications. The Federal Government has clearly indicated that it recognises the importance that information and communications technology (ICT) plays in the economic and social fabric of Australia, through the recent Innovation Action Plan, Backing Australia's Ability. These technologies are key drivers of the information economy, the spawning of new businesses, the transformation of established industries, the opening up of new export markets, and the creation of new jobs.Read moreRead less
Smart coding for improved performance of complexity constrained devices. The technical innovations of this project have the potential to have an immediate impact on compression technology. The overall expected outcome of the project consists of new compression algorithms for the australian telecommunications industry. The novel outcomes of the project lead to better quality images in video mobile communications applications. As such, the project operates at the forefront of innovative next gener ....Smart coding for improved performance of complexity constrained devices. The technical innovations of this project have the potential to have an immediate impact on compression technology. The overall expected outcome of the project consists of new compression algorithms for the australian telecommunications industry. The novel outcomes of the project lead to better quality images in video mobile communications applications. As such, the project operates at the forefront of innovative next generation mobile video telephony.Read moreRead less
Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analy ....Singular and Analytic Perturbations, Slow and Fast Time Scales in Control Theory and Viability Theory and their Applications. We propose an innovative approach to several important classes of mathematical problems, whose data depend analytically on small perturbation parameters. Time scale problems, and, in particular, the interaction of two types of evolution, slow and fast, arise in many scientific domains (biotechnology, physics, engineering, etc).We expect to develop new techniques for analysis and asymptotic optimisation of singularly perturbed control systems and Markov decision processes. In particular, we plan to establish links between general nonlinear optimal control problems with time average criteria and linear programming problems in the space of limit occupational measures generated by the underlying control system.Read moreRead less
Advanced Space-Time Coded Multiuser Wireless Communications via Test-bed Development. Meeting the global demand for mobile and wireless communications depends critically on reliable and high rate data transfer. Unfortunately, communications medium idiosyncrasies pose formidable challenges. Very recently, in combatting this, major breakthroughs have been achieved whereby the use of multiple antennas allows for drastic data-rate increases. These advances use sophisticated Space-Time coding metho ....Advanced Space-Time Coded Multiuser Wireless Communications via Test-bed Development. Meeting the global demand for mobile and wireless communications depends critically on reliable and high rate data transfer. Unfortunately, communications medium idiosyncrasies pose formidable challenges. Very recently, in combatting this, major breakthroughs have been achieved whereby the use of multiple antennas allows for drastic data-rate increases. These advances use sophisticated Space-Time coding methods, and while they are causing great excitement in terms of their simulation performance, it is not clear how they will perform in practice, or in fact how they are to be realistically implemented. This project will address this issue by building a world-first testbed that implements a high rate wireless communications system using Space-Time and other coding methods.Read moreRead less
ARC Centre for Complex Dynamic Systems & Control. Complex dynamic systems are an inescapable feature of the world we live in. Modelling, analysing and optimizing complex behaviour is crucial for environment, process industry, biomedical, energy distribution, transportation and other applications. The Centre for Complex Dynamic Systems and Control will become an international authority in the analysis, design and optimization of complex dynamic systems, pursuing both outstanding fundamental and c ....ARC Centre for Complex Dynamic Systems & Control. Complex dynamic systems are an inescapable feature of the world we live in. Modelling, analysing and optimizing complex behaviour is crucial for environment, process industry, biomedical, energy distribution, transportation and other applications. The Centre for Complex Dynamic Systems and Control will become an international authority in the analysis, design and optimization of complex dynamic systems, pursuing both outstanding fundamental and cutting edge applied research outcomes. These outcomes will be of specific benefit to partner organizations including minerals, process, metal forming, and automotive industries.Read moreRead less
Fast Signal Processing and Control Algorithms for Complex Hierarchical Systems. Complex dynamical behaviour is inherent to many real-world systems including telecommunications networks, financial markets and biological systems. High performance signal processing and control algorithms for such large-scale, complex systems are computationally very expensive in general. An important class of large-scale Markovian models arising in many applications shows a remarkable hierarchical property, display ....Fast Signal Processing and Control Algorithms for Complex Hierarchical Systems. Complex dynamical behaviour is inherent to many real-world systems including telecommunications networks, financial markets and biological systems. High performance signal processing and control algorithms for such large-scale, complex systems are computationally very expensive in general. An important class of large-scale Markovian models arising in many applications shows a remarkable hierarchical property, displaying strong interactions within certain clusters of states and weak interactions among these clusters. By utilizing this property, the proposed project will design and analyze novel reduced-complexity signal processing and control algorithms with rigorous performance guarantees. In addition, this project will explore possibilities of making these algorithms hierarchical such that they are easy to implement through decentralization.Read moreRead less
Stochastic Sensor Scheduling in Statistical Signal Processing. In several statistical signal processing applications, due to computational or communication constraints, at each time instant one can use only a few out of several possible noisy (stochastic) sensors. The stochastic sensor scheduling problem deals with how to dynamically choose which group of sensors to pick at each time instant. This project involves research in sensor scheduling for widely used stochastic dynamical systems such as ....Stochastic Sensor Scheduling in Statistical Signal Processing. In several statistical signal processing applications, due to computational or communication constraints, at each time instant one can use only a few out of several possible noisy (stochastic) sensors. The stochastic sensor scheduling problem deals with how to dynamically choose which group of sensors to pick at each time instant. This project involves research in sensor scheduling for widely used stochastic dynamical systems such as Hidden Markov Models and Jump Markov Linear Systems. It focuses on the design and analysis of stochastic control algorithms such as dynamic programming and simulation based randomized methods. The research will lead to an integrated theory incorporating stochastic control, statistical signal processing and combinatorial optimization. We will also apply the resulting techniques to tracking maneuvering targets given noisy observations.Read moreRead less
Participatory Wireless Sensor Networks. The investment in the Participatory Wireless Sensor Netwok (PWSN) research will ensure that Australia stays in the forefront of this innovative and disruptive technology. Since the PWSN concept leverages on the existing communication and sensing infrastructure, the entry cost for developing new business opportunities on it is low. There are ample opportunities for local companies (e.g. Internet service providers, mobile phone carriers and wireless service ....Participatory Wireless Sensor Networks. The investment in the Participatory Wireless Sensor Netwok (PWSN) research will ensure that Australia stays in the forefront of this innovative and disruptive technology. Since the PWSN concept leverages on the existing communication and sensing infrastructure, the entry cost for developing new business opportunities on it is low. There are ample opportunities for local companies (e.g. Internet service providers, mobile phone carriers and wireless service providers) and start-up companies to create innovative services on PWSN for both the Australian and overseas markets. Read moreRead less
Congestion Control for the Future Internet. Australia relies very much on its telecommunications infrastructure due to its geographic dispersion. Our novel and practical Internet congestion control scheme will overcome current weaknesses in the Internet, and will enable the Australian telecommunication service industry to provide a better quality of service to the customers (including Australia industries and rural communities) and at lower cost. This project will put Australia on the internati ....Congestion Control for the Future Internet. Australia relies very much on its telecommunications infrastructure due to its geographic dispersion. Our novel and practical Internet congestion control scheme will overcome current weaknesses in the Internet, and will enable the Australian telecommunication service industry to provide a better quality of service to the customers (including Australia industries and rural communities) and at lower cost. This project will put Australia on the international stage as an leading contributor to Internet technology. We will provide training for PhD students and the management of postdoctoral fellows in the important area of Internet traffic engineering and control.
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