State-space technique for minimal realisation of analogue circuits and systems

An analogue circuit's behaviour can be represented by a number of natural modes. To ensure the compliance of the circuit to a prescribed specification, it is important to test the circuit against the performance of its natural modes. Unspecified mode characteristics, which could be due to disturbances in the form of faults (i.e. hard or soft), can indicate abnormality in circuits specified behaviour. The work presented here is twofold: (i) an investigation of system dynamics to estimate the reliability of the circuit when operating in the presence of faults; (ii) a proposed method for minimal realisation.