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Singular perturbations and time-scale concepts have been brought to regulate engineering within the past due Sixties and feature on account that turn into universal instruments for the modeling, research, and layout of keep watch over structures. during this SIAM Classics variation of the 1986 e-book, the unique textual content is reprinted in its entirety (along with a brand new preface), delivering once more the theoretical beginning for consultant keep an eye on functions. This booklet remains to be crucial in lots of methods. It lays down the basis of singular perturbation thought for linear and nonlinear structures, it offers the method in a pedagogical means that isn't on hand at any place else, and it illustrates the speculation with many solved examples, together with numerous actual examples and purposes. So whereas new advancements may fit past the subjects lined during this booklet, they're nonetheless in line with the technique defined right here, which is still their universal place to begin.
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