A maximum principle for infinite time asymptotically stable impulsive dynamic control systems

We consider an infinite horizon optimal impulsive control problems for which a given cost function is minimized by choosing control strategies driving the state to a point in a given closed set C ∞. We present necessary conditions of optimality in the form of a maximum principle for which the boundary condition of the adjoint variable is such that non-degeneracy due to the fact that the time horizon is infinite is ensured. These conditions are given for conventional systems in a first instance and then for impulsive control problems. They are proved by considering a family of approximating auxiliary interval conventional (without impulses) optimal control problems defined on an increasing sequence of finite time intervals. As far as we know, results of this kind have not been derived previously. © 2010 IFAC.

Necessary conditions of optimality for state constrained infinite horizon differential inclusions

This article presents and discusses necessary conditions of optimality for infinite horizon dynamic optimization problems with inequality state constraints and set inclusion constraints at both endpoints of the trajectory. The cost functional depends on the state variable at the final time, and the dynamics are given by a differential inclusion. Moreover, the optimization is carried out over asymptotically convergent state trajectories. The novelty of the proposed optimality conditions for this class of problems is that the boundary condition of the adjoint variable is given as a weak directional inclusion at infinity. This improves on the currently available necessary conditions of optimality for infinite horizon problems. © 2011 IEEE.

A maximum principle for constrained infinite horizon dynamic control systems

This article presents and discusses a maximum principle for infinite horizon constrained optimal control problems with a cost functional depending on the state at the final time. The main feature of these optimality conditions is that, under reasonably weak assumptions, the multiplier is shown to satisfy a novel transversality condition at infinite time. It is also shown that these conditions can also be obtained for impulsive control problems whose dynamics are given by measure driven differential equations. © 2011 IFAC.

O corpo e as ilusões óticas

Relatório da Prática de Ensino Supervisionada, Mestrado em Ensino de Artes Visuais, Universidade de Lisboa, 2014

Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: the Infinite Horizon Case

We analyze an infinite horizon, single product, periodic review model in which pricing and production/inventory decisions are made simultaneously. Demands in different periods are identically distributed random variables that are independent of each other and their distributions depend on the product price. Pricing and ordering decisions are made at the beginning of each period and all shortages are backlogged. Ordering cost includes both a fixed cost and a variable cost proportional to the amount ordered. The objective is to maximize expected discounted, or expected average profit over the infinite planning horizon. We show that a stationary (s,S,p) policy is optimal for both the discounted and average profit models with general demand functions. In such a policy, the period inventory is managed based on the classical (s,S) policy and price is determined based on the inventory position at the beginning of each period.

Spun from four horizons : re-writing the Sydney Harbour Bridge

The Sydney Harbour Bridge provides an imaginative space that is revisited by Australian writers in particular ways. In this space novelists, poets, and cultural historians negotiate questions of emotional and psychological transformation as well as reflect on social and environmental change in the city of Sydney. The writerly tensions that mark these accounts often alter, or query, representations of the Bridge as a symbol of material progress and demonstrate a complex creative engagement with the Bridge. This discussion of ‘the Bridge’ focuses on the work of four authors, Eleanor Dark, P.R. Stephensen, Peter Carey and Vicki Hastrich and includes a range of other fictional and non-fictional accounts of ‘Bridge-writing.’ The ideas proffered are framed by a theorising of space, especially referencing the work of Michel de Certeau, whose writing on the spatial ambiguity of a bridge is important to the examination of the diverse ways in which Australian writers have engaged with the imaginative potential and almost mythic resonance of the Sydney Harbour Bridge.

New horizons, new homes

Working with 12 journalism students plus a research assistant, producer/director Romano conducted five community focus groups and discussions with 80 people on the street. These provided the themes and concepts and the creative approaches for each program. Each was structured around one of the emergent themes; all programs offered different voices rather than coming to a single conclusion. New Horizons, New Homes aired over three weeks n Radio 4EB and was entered into the 2005 UN Media Peace Award where it won the Best Radio Category ahead of ABC and SBS. The UN commended the way in which the programs brought together a wide base of research to create a better understanding in the community on this issue. This project did not just improve the accuracy and social inclusiveness of reporting. It applied principles of deliberative democracy in the creation of journalism that enhances citizens’ deliberative potential on complex social issues

Design horizons : provoking thoughts

The future of industrial design is not set in stone. The future whether we think of it as next year or 50 years from now, is in fact forged by the actions that we make today. Thus, as we dome to a close on the first decade of the 21st Century it is an opportune time to reflect, take stock, and assess the landscape of the industrial design profession. The inaugural Design Horizons forum, titled Provoking Thought, was held on Friday the 6th July 2010 at The Edge, State Library of Queensland. It was conceptualised by Cara Wrigley and Rafael Gomez to provide a space for industrial designers to motivate, challenge and encourage healthy debate on the future of industrial design in the spirit of respect and integrity. The vision was for all involved to walk away inspired, engaged and most of all provoked by the ideas, questions and propositions presented on the day.

Infinite-horizon policy-gradient estimation

Gradient-based approaches to direct policy search in reinforcement learning have received much recent attention as a means to solve problems of partial observability and to avoid some of the problems associated with policy degradation in value-function methods. In this paper we introduce GPOMDP, a simulation-based algorithm for generating a biased estimate of the gradient of the average reward in Partially Observable Markov Decision Processes (POMDPs) controlled by parameterized stochastic policies. A similar algorithm was proposed by Kimura, Yamamura, and Kobayashi (1995). The algorithm's chief advantages are that it requires storage of only twice the number of policy parameters, uses one free parameter β ∈ [0,1) (which has a natural interpretation in terms of bias-variance trade-off), and requires no knowledge of the underlying state. We prove convergence of GPOMDP, and show how the correct choice of the parameter β is related to the mixing time of the controlled POMDP. We briefly describe extensions of GPOMDP to controlled Markov chains, continuous state, observation and control spaces, multiple-agents, higher-order derivatives, and a version for training stochastic policies with internal states. In a companion paper (Baxter, Bartlett, & Weaver, 2001) we show how the gradient estimates generated by GPOMDP can be used in both a traditional stochastic gradient algorithm and a conjugate-gradient procedure to find local optima of the average reward. ©2001 AI Access Foundation and Morgan Kaufmann Publishers. All rights reserved.

Technology : new horizons in teaching law

17.1 Up until the 1990s the methods used to teach the law had evolved little since the first law schools were established in Australia. As Keyes and Johnstone observed: In the traditional model, most teachers uncritically replicate the learning experiences that they had when students, which usually means that the dominant mode of instruction is reading lecture notes to large classes in which students are largely passive. Traditional legal education has been described in the following terms: Traditionally law is taught through a series of lectures, with little or no student involvement, and a tutorial programme. Sometimes tutorials are referred to as seminars but the terminology used is often insignificant: both terms refer to probably the only form of student participation that takes place throughout these students‘ academic legal education. The tutorial consists of analysing the answers, prepared in advanced (sic), to artificial Janet and John Doe problems or esoteric essay questions. The primary focus of traditional legal education is the transmission of content knowledge, more particularly the teaching of legal rules, especially those drawn from case law. This approach has a long pedigree. Writing in 1883, Dicey proposed that nothing can be taught to students of greater value, either intellectually or for the purposes of legal practice, than the habit of looking on the law as a series of rules‘.

An infinite-horizon robust filter for uncertain hidden Markov Models with conditional relative entropy constraints

We consider a robust filtering problem for uncertain discrete-time, homogeneous, first-order, finite-state hidden Markov models (HMMs). The class of uncertain HMMs considered is described by a conditional relative entropy constraint on measures perturbed from a nominal regular conditional probability distribution given the previous posterior state distribution and the latest measurement. Under this class of perturbations, a robust infinite horizon filtering problem is first formulated as a constrained optimization problem before being transformed via variational results into an unconstrained optimization problem; the latter can be elegantly solved using a risk-sensitive information-state based filtering.

Broadening horizons : an emerging research agenda modelling design led innovation across secondary education

A re-examination of design education at all levels is needed to ensure global economic competitiveness and social and environmental sustainment. This paper presents an emerging research agenda modelling design led innovation approaches from the business sector to secondary education curriculum. To do this, a review of literature is provided and current knowledge gaps surrounding design education are detailed. A regional secondary school design immersion program is outlined as a future research case study using action research. A framework and recommendations for developing and delivering pedagogical approaches for 21st century skill outcomes in secondary education are briefly introduced and future research objectives are overviewed and discussed.