System theory, Volume 102: A Hilbert space approach (Pure and Applied Mathematics) - ISBN:0122517504

System theory, Volume 102: A Hilbert space approach (Pure and Applied Mathematics)

Date: 20 June 2011, 01:39

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Although one can trace the heritage of system theory back through the centuries, the field did not truly come into its own until the post-World War II era. By the mid-1960s, however, the field had expanded to the point where communication between its various branches had begun to break down, with some practitioners applying the new state space concepts while others employed the traditional frequency domain techniques.
Moreover, the systems community was beginning to encounter new classes of distributed, time-varying, multivariate, and discrete time systems, and a multiplicity of new concepts associated therewith. As such, with the goal of bringing some order into this mounting chaos, a number of researchers began to search for a unified approach to linear system theory.
Although many approaches were tried with varying degrees of success, the present work represents the culmination of one such search, in which Hilbert space techniques are used to formulate a unified theory of linear systems.

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