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Singular perturbations and time-scale concepts have been brought to manage engineering within the past due Nineteen Sixties and feature in view that develop into universal instruments for the modeling, research, and layout of regulate platforms. during this SIAM Classics variation of the 1986 booklet, the unique textual content is reprinted in its entirety (along with a brand new preface), supplying once more the theoretical beginning for consultant keep watch over functions.
This booklet remains to be crucial in lots of methods. It lays down the root of singular perturbation idea for linear and nonlinear platforms, it provides the technique in a pedagogical means that isn't to be had anyplace else, and it illustrates the idea with many solved examples, together with quite a few actual examples and purposes. So whereas new advancements may match past the subjects lined during this publication, they're nonetheless in response to the technique defined the following, which is still their universal start line.