The computation of parameter bounds for models of linear, time-varying systems is considered. Three methods are discussed, all with counterparts in conventional least-squares or statistical parameter estimation: fixed-memory bounding, scalar bound inflation and bound incrementing. Their...

Computation of bounds on the parameters of a linear model of a dynamical system, given observations of the system input and output and bounds on the model-output error, has developed into an interesting alternative to parameter estimation by least-squares, maximum-likelihood or recursive...

Many processes with distributed, non-linear dynamics may be modelled adequately over suitable time and spatial scales by low-order, linear, time-invariant models, but the limitations of such models must be examined. For example, catchment rainfall-runoff models taking pulse-response peak,...