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.