An alternative (partial) justification for the holding in Kirk

In Kirk v Industrial Court (NSW), the High Court determined that, based on“accepted doctrine at the time of Federation”, s 73 of the Constitutionentrenched the jurisdiction of the State Supreme Courts to review thedecisions of State decision-makers on the grounds of jurisdictional error. In anearlier article, the author argued that this reasoning was seriously flawed. Thisarticle propounds an alternative, partial justification for the holding in Kirk,based on features inherent in the text and structure of Ch III of the Constitutionat Federation and the preservation of those features in the face of thepost-Federation dismantling of the imperial legal system. It argues that animplication can be inserted into s 73 which entrenches the jurisdiction of theState Supreme Courts to review the decisions of “Lower State Courts”, but not“State Administrators”.

Partial state estimation: a new design approach

© 2014 IEEE. There are three different approaches for functional observer design for Linear Time-Invariant (LTI) systems within the literature. One of the most common methods has been proposed by Aldeen [1] and further developed by others. We found several examples in which the necessary and sufficient conditions for the existence of a functional observer are actually not sufficient for this methodology. This finding motivated us to develop a new methodology for designing functional observers. Our new method provides enough degrees of freedom for the observer design parameter and it improves the weakness within the Aldeen's method in solving the observer coupled matrix equations. In this paper, we present the reason and an example to show the insufficiency of the former method. Furthermore, we present our new developed methodology. An illustrative algorithm also describes the design procedure step by step. A numerical example and simulation results support our findings and performance of the proposed method.

Construction and aggregation of preference relations based on fuzzy partial orders

In group decision-making problems it is common to elicit preferences from human experts in the form of pairwise preference relations. When this is extended to a fuzzy setting, entries in the pairwise preference matrix are interpreted to denote strength of preference, however once logical properties such as consistency and transitivity are enforced, the resulting preference relation requires almost as much information as providing raw scores or a complete order over the alternatives. Here we instead interpret fuzzy degrees of preference to only apply where the preference over two alternatives is genuinely fuzzy and then suggest an aggregation procedure that minimizes a generalized Kemeny distance to the nearest complete or partial order. By focusing on the fuzzy partial order, the method is less affected by differences in the natural scale over which an expert expresses their preference, and can also limit the influence of extreme scores.