TY - BOOK ID - 77894706 TI - Control theory for partial differential equations : continuous and approximation theories. II, Abstract hyperbolic-like systems over a finite time horizon AU - Lasiecka, Irena. AU - Triggiani, Roberto. PY - 2000 VL - v. 75 SN - 1139886738 1107089018 1107100879 0511574800 9781107089013 0521584019 9780521584012 PB - Cambridge : Cambridge University Press, DB - UniCat KW - Differential equations, Partial. KW - Control theory. KW - Dynamics KW - Machine theory KW - Partial differential equations UR - https://www.unicat.be/uniCat?func=search&query=sysid:77894706 AB - 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. ER -