Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators

The stabilization of dynamic switched control systems is focused on and based on an operator-based formulation. It is assumed that the controlled object and the controller are described by sequences of closed operator pairs (L, C) on a Hilbert space H of the input and output spaces and it is related to the existence of the inverse of the resulting input-output operator being admissible and bounded. The technical mechanism addressed to get the results is the appropriate use of the fact that closed operators being sufficiently close to bounded operators, in terms of the gap metric, are also bounded. That philosophy is followed for the operators describing the input-output relations in switched feedback control systems so as to guarantee the closed-loop stabilization.

A view of the Assessment and Feedback Landscape: baseline analysis of policy and practice from the JISC Assessment and Feedback programme

Assessment and feedback lies at the heart of the learning experience, and forms a significant part of both academic and administrative workload. It remains however the single biggest source of student dissatisfaction with the higher education experience. The JISC Assessment and Feedback programme (Sept 2011-Aug 2014) is supporting large-scale changes in assessment and feedback practice, supported by technology, with the aim of enhancing the learning and teaching process and delivering efficiencies and quality improvements. This report summarises baseline reviews undertaken by a number of institutions as part of their programme activity.