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
Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's st ....Linear programming approach to nonlinear deterministic and stochastic control problems: perturbations methods and numerical analysis. The proposed research will significantly advance knowledge by creating new analytical and numerical methods for tackling complex nonlinear control problems arising in many applications. The study's outputs will lead to a deeper understanding of fundamental issues in mathematical modelling. Collaboration with renowned researchers will further improve Australia's standing in the international research community. Also their visits may further promote research both within and outside the host institution. In particular, lectures and seminars that they will deliver will be transmitted to Australian universities participating in the Access Grid Room Project.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
Variational methods in partial differential equations. Research in partial differential equations is a very active area of modern mathematics linking nonlinear functional analysis, calculus of variations and differential geometry to applied sciences. This project will enable Australia-based researchers to participate in the forefront of mathematical research with leading international mathematicians by establishing new collaborations, strengthening on-going collaborations and providing internat ....Variational methods in partial differential equations. Research in partial differential equations is a very active area of modern mathematics linking nonlinear functional analysis, calculus of variations and differential geometry to applied sciences. This project will enable Australia-based researchers to participate in the forefront of mathematical research with leading international mathematicians by establishing new collaborations, strengthening on-going collaborations and providing international research experience for early career researchers. As a result, this proposal will enhance Australia's distinguished reputation in analysis and further link the UQ group with a number of mathematical institutes in USA and China.Read moreRead less
International interventions: ethical, legal and political issues. The project is the first stage of a larger study in partnership with Canadian researchers. The pilot will develop case studies showing the political, ethical and legal issues currently influencing intervention within other States for peacekeeping, peacemaking or humanitarian reasons. There is currently no internationally agreed legal, ethical or political code underlying such decisions to intervene. Humanitarian disasters are like ....International interventions: ethical, legal and political issues. The project is the first stage of a larger study in partnership with Canadian researchers. The pilot will develop case studies showing the political, ethical and legal issues currently influencing intervention within other States for peacekeeping, peacemaking or humanitarian reasons. There is currently no internationally agreed legal, ethical or political code underlying such decisions to intervene. Humanitarian disasters are likely to increase with the proliferation of new states and re-emergence of ethnic and religious intolerance. Australia's defence policy recognises that peacekeeping is a significant function for our armed forces. Australia should influence thinking on when the international community should act.Read moreRead less
Conceptual Knowledge Processing. The aim of this collaboration between Computer Science and Mathematics disciplines is to develop a theoretical, methodological and practical understanding of how to support a range of tasks concerning conceptual knowledge processing. The view of the project is that knowledge processing takes place primarily in the human mind and that human communication can only be effectively supported by appropriate design means and devices. Developing prototype software that d ....Conceptual Knowledge Processing. The aim of this collaboration between Computer Science and Mathematics disciplines is to develop a theoretical, methodological and practical understanding of how to support a range of tasks concerning conceptual knowledge processing. The view of the project is that knowledge processing takes place primarily in the human mind and that human communication can only be effectively supported by appropriate design means and devices. Developing prototype software that demonstrates these devices in practical domains continues to be a key feature of the collaboration that benefits from existing DFG (Deutsche Forschungsgemeinschaft) support and has been on going since 1999.Read moreRead less
Digital Imagery for Building 3D City Models. The project will investigate the application of digital photogrammetric imagery, and primarily high-resolution satellite imagery for the creation of visually realistic 3D city models. Virtual reality computer models of urban scenes find application in urban planning, facilities management, engineering and even virtual tourism. Building upon recently initiated collaborative research, the project aims to develop improved methods and procedures for autom ....Digital Imagery for Building 3D City Models. The project will investigate the application of digital photogrammetric imagery, and primarily high-resolution satellite imagery for the creation of visually realistic 3D city models. Virtual reality computer models of urban scenes find application in urban planning, facilities management, engineering and even virtual tourism. Building upon recently initiated collaborative research, the project aims to develop improved methods and procedures for automated, image-based object reconstruction to support the generation of metrically accurate 3D computer models of buildings and the built environment.Read moreRead less
Internal capital markets, divisional rent-seeking and optimal incentives: theory and evidence. There exists a considerable gap between real-world economic organizations and the economic theory of the firm. This project provides formal theories of resource allocation within multidivisional corporations and the nature of optimal incentives, thereby contributing to fill this gap. The project is expected to produce highest-quality research publishable in top-tier journals. This will, among others, e ....Internal capital markets, divisional rent-seeking and optimal incentives: theory and evidence. There exists a considerable gap between real-world economic organizations and the economic theory of the firm. This project provides formal theories of resource allocation within multidivisional corporations and the nature of optimal incentives, thereby contributing to fill this gap. The project is expected to produce highest-quality research publishable in top-tier journals. This will, among others, enhance Australia's standing as a knowledge nation. Additional benefit comes from the possibility of longer term collaborative research between Monash University and the University of Bristol, and possible research collaboration between Australian and British economists that goes beyond the two institutions. Read moreRead less
Extending the scope of modular analysis for the validation of large systems. The increasing complexity of computer systems has severe implications for verification and validation, especially for critical systems (e.g. medical supervision, avionics mission systems). The standard approach is to build a formal model of the system and automatically analyse its behaviour. Such models can be captured in a modular, high-level description, but the number of states is usually so large as to preclude an ....Extending the scope of modular analysis for the validation of large systems. The increasing complexity of computer systems has severe implications for verification and validation, especially for critical systems (e.g. medical supervision, avionics mission systems). The standard approach is to build a formal model of the system and automatically analyse its behaviour. Such models can be captured in a modular, high-level description, but the number of states is usually so large as to preclude analysis. The modular analysis proposed in this project matches the analysis technique to the structure of the model. Preliminary results are promising and motivate the extension of the technique to a larger class of modular descriptions.Read moreRead less
User-Driven Composition of Web Services. Web service composition technology promises to revolutionise the way in which organisations interact over the Web. However existing environments for the composition of Web services are too complex to use and are usually intended for experienced application developers as they rely either on scripting languages, or on a process-modelling notations intended to be used by IT experts. However, the need for customised composition of Web services is likely to em ....User-Driven Composition of Web Services. Web service composition technology promises to revolutionise the way in which organisations interact over the Web. However existing environments for the composition of Web services are too complex to use and are usually intended for experienced application developers as they rely either on scripting languages, or on a process-modelling notations intended to be used by IT experts. However, the need for customised composition of Web services is likely to emanate from non IT-experts.
The project aims at designing, implementing, and evaluating an environment for the specification and execution of composite Web services by non-expert.Read moreRead less