# Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation Theories (Encyclopedia of Mathematics and Its Applications Series, Book 75)

By Irena Lasiecka, Roberto Triggiani

**Volume II** makes a speciality of the optimum regulate challenge over a finite time period for hyperbolic dynamical structures. The chapters examine a few summary versions, every one encouraged by way of a specific canonical hyperbolic dynamics, and current a variety of new effects.

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**Extra info for Control Theory for Partial Differential Equations: Volume 2, Abstract Hyperbolic-like Systems over a Finite Time Horizon: Continuous and Approximation Theories (Encyclopedia of Mathematics and Its Applications Series, Book 75)**

26) less than basically (h. l) and (h. 2) to P(t) E L(Y; C([O, T]; Y)) now as in (9. 2. 16). We shut this part via pointing out numerous fascinating transition homes, which, notwithstanding, will not be wanted for the aim of creating the DRE or the IRE. As in Theorem eight. 2. 1. three, we will append a subscript T to amounts with regards to the optimum keep watch over challenge (9. 1. four) on [0, T], as in u~(t, s; Yo),