Originally published in 2000, this is the second volume of a
comprehensive two-volume treatment of quadratic optimal control
theory for partial differential equations over a finite or infinite
time horizon, and related differential (integral) and algebraic
Riccati equations. Both continuous theory and numerical
approximation theory are included. The authors use an abstract
space, operator theoretic approach, which is based on semigroups
methods, and which unifies across a few basic classes of evolution.
The various abstract frameworks are motivated by, and ultimately
directed to, partial differential equations with boundary/point
control. Volume 2 is focused on the optimal control problem over a
finite time interval for hyperbolic dynamical systems. A few
abstract models are considered, each motivated by a particular
canonical hyperbolic dynamics. It presents numerous fascinating
results. These volumes will appeal to graduate students and
researchers in pure and applied mathematics and theoretical
engineering with an interest in optimal control problems.
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