The aim of the book is to present the state of the art of the
theory of symmetric (Hermitian) matrix Riccati equations and to
contribute to the development of the theory of non-symmetric
Riccati equations as well as to certain classes of coupled and
generalized Riccati equations occurring in differential games and
stochastic control. The volume offers a complete treatment of
generalized and coupled Riccati equations. It deals with
differential, discrete-time, algebraic or periodic symmetric and
non-symmetric equations, with special emphasis on those equations
appearing in control and systems theory. Extensions to Riccati
theory allow to tackle robust control problems in a unified
approach.
The book is intended to make available classical and recent
results to engineers and mathematicians alike. It is accessible to
graduate students in mathematics, applied mathematics, control
engineering, physics or economics. Researchers working in any of
the fields where Riccati equations are used can find the main
results with the proper mathematical background.
General
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