Control Theory for Partial Differential Equations: Volume 1, by Irena Lasiecka,Roberto Triggiani

By Irena Lasiecka,Roberto Triggiani

initially released in 2000, this is often the 1st quantity of a complete two-volume remedy of quadratic optimum keep watch over concept for partial differential equations over a finite or endless time horizon, and similar differential (integral) and algebraic Riccati equations. either non-stop idea and numerical approximation thought are incorporated. The authors use an summary area, operator theoretic procedure, that is according to semigroups equipment, and that's unifying throughout a couple of simple sessions of evolution. some of the summary frameworks are stimulated via, and eventually directed to, partial differential equations with boundary/point keep watch over. quantity 1 comprises the summary parabolic idea for the finite and limitless situations and corresponding PDE illustrations in addition to quite a few summary hyperbolic settings within the finite case. It provides quite a few interesting effects. those volumes will entice graduate scholars and researchers in natural and utilized arithmetic and theoretical engineering with an curiosity in optimum regulate problems.

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