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This volume is the result of our teaching in the last few years of a first year graduate course on multivariable feedback systems addressed to control engineers. The prerequisites are modest: an undergraduate course in control (for acquaintance with concepts, terms, and design goals) and a senior-graduate course in linear systems.
The algebraic theory of linear, time-invariant, multiinput-multioutput (MIMO) feedback systems has developed rapidly during the past decade. it is suitable for both continuous-time and discrete-time lumped-parameter system models, and many of its results apply directly to distributed-parameter systems.
This book was the first and remains the only book to give a comprehensive treatment of the behaviour of linear or nonlinear systems when they are connected in a closed-loop fashion, with the output of one system forming the input of the other.
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers.
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