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The purpose of this monograph is to present recent results
concerning frequency response properties of linear feedback
systems. The basic theme is to develop extensions of classical
feedback theory from scalar to multivariable systems, and the
obstacle is the fact that multivariable systems may possess
properties having no scalar analogue. The monograph contains
sections reviewing ideas from classical control theory that are
extended to multivariable systems, a summary of work we have done
on design limitation in scalar systems, and a review of some
previous work on extending classical ideas to a multivariable
setting. The bulk of the monograph develops analysis methods with
which to study properties of multivariable systems having no scalar
analogue. Although the monograph does contain expository material,
its primary character is that of a research monograph, and its
primary audience researchers in the field of linear multivariable
control. Its contents should be accessible to a first year graduate
student with a good knowledge of classical feedback theory.
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