An algorithm for solving linear differential equations(DEs) by Walsh functions (WFs) is proposed. In this algorithm, approximate solutions are determined in a form of piecewise-linear approximation (PWLA) by means of fast algorithms of inverse Walsh transforms. For this purpose, derivatives of...

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...

In this paper we present a review of some recent results for identification of linear dynamic systems in the presence of unknown but bounded uncertainty. We make reference to the optimal algorithms theory which provides a general unifying framework to deal with several typical problems of system...

The problem of experiment design for parameter bounding is addressed. The measurement errors are assumed to be bounded, with no other hypothesis on their distribution. An experiment is defined as optimal when it minimizes the volume of the set of the parameters that are consistent with the data,...