Time-Varying Systems and Computations is a unique book providing a
detailed and consistent exposition of a powerful unifying framework
(developed by the authors) for the study of time-variant systems
and the computational aspects and problems that arise in this
context. While complex function theory and linear algebra provide
much of the fundamental mathematics needed by engineers engaged in
numerical computations, signal processing and/or control, there has
long been a large, abstruse gap between the two fields. This book
shows the reader how the gap between analysis and linear algebra
can be bridged. In a fascinating monograph, the authors explore,
discover and exploit many interesting links that exist between
classical linear algebraic concepts and complex analysis.
Time-Varying Systems and Computations opens for the reader new and
exciting perspectives on linear algebra from the analysis point of
view. It clearly explains a framework that allows the extension of
classical results, from complex function theory to the case of
time-variant operators and even finite-dimensional matrices. These
results allow the user to obtain computationally feasible schemes
and models for complex and large-scale systems. Time-Varying
Systems and Computations will be of interest to a broad spectrum of
researchers and professionals, including applied mathematicians,
control theorists, systems theorists and numerical analysts. It can
also be used as a graduate course in linear time-varying system
theory.
General
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