On the sufficient conditions for the equality of the unassignable polynomial and Davison's fixed polynomial of strongly connected systems

In this technical note, it is established that the unassignable polynomial defined for a not strongly connected decentralized control system is not equal to Davison's fixed polynomial. This leads to a "sufficient condition" for the equality of the unassignable polynomial and Davison's fixed polynomial for strongly connected systems.

Relating thermodynamics to information theory : the equality of free energy and mutual information

In this thesis we uncover a new relation which links thermodynamics and information theory. We consider time as a channel and the detailed state of a physical system as a message. As the system evolves with time, ever present noise insures that the "message" is corrupted. Thermodynamic free energy measures the approach of the system toward equilibrium. Information theoretical mutual information measures the loss of memory of initial state. We regard the free energy and the mutual information as operators which map probability distributions over state space to real numbers. In the limit of long times, we show how the free energy operator and the mutual information operator asymptotically attain a very simple relationship to one another. This relationship is founded on the common appearance of entropy in the two operators and on an identity between internal energy and conditional entropy. The use of conditional entropy is what distinguishes our approach from previous efforts to relate thermodynamics and information theory.

Taking the Next Step? Achieving another Bill of Rights

The aim of this article is to explore the recent Bill of Rights debate in the UK. This is deliberately located in the UK’s complex ‘national question’ because of the obsessive focus on achieving a proper grounding for human rights. A new form of national human rights protectionism appears to be emerging and merits careful consideration. The article suggests that it is better to acknowledge and accept the existence of a plurality of nationalisms in the UK in these discussions and understand how an essentially ‘British nationalist’ discourse sounds and works in that overall context. The concern is that the Bill of Rights debate is becoming an inadequate surrogate for the more challenging constitutional conversations that are required, and human rights discourse thus invested with expectations of national renewal that it can never meet and does not have the internal resources to resolve. If the process does go forward it may be better to prepare the ground for a deeper and wider constitutional dialogue across these islands than stumble clumsily and divisively into this territory simply via ‘another’ UK Bill of Rights.

Annotated Bibliography: Grande Bretagne / Great Britain: Part Three: The Problem of Rights and the Literature of Constitutional Reform

(With C.N. Doe.)

Bills of Rights:A Comparative Perspective

Bills of rights are currently a much debated topic in various jurisdictions throughout the world. Almost all democratic nations, with the exception of Australia, now have a bill of rights. These take a variety of forms, ranging from constitutionally entrenched bills of rights, such as those of the United States and South Africa, to non-binding statements of rights. Falling between these approaches are non-entrenched, statutory bills of rights. As regards the latter, a model which has become increasingly popular is that of bills of rights based on interpretative obligations, whereby duties are placed upon courts to interpret national legislation in accordance with human rights standards. The aim of this book is to provide a comparative analysis of the bills of rights of a number of jurisdictions which have chosen to adopt such an approach. The jurisdictions considered are New Zealand, the United Kingdom, the Australian Capital Territory and the Australian state of Victoria.

There have been very few books published to date which contain a detailed comparative analysis of the bills of rights which this book addresses. The book adopts a unique thematic approach, whereby six aspects of the bills of rights in question have been selected for comparative analysis and a chapter is allocated to each aspect. This approach serves to facilitate the comparative discussion and emphasise the centrality of the comparative methodology.