In adaptive control problems one may drop the requirement of identifying the true system in order to simplify the problem of control. It will be shown that in the adaptive LQ control problem this does not at all lead to an easier problem. A MS Subject Classijication: 93C40. Kqvwords: Adaptive LQ control, Closed-loop identification, Certainty equivalence.

We study the Cauchy problem for the damped wave equation. In a previous paper [16] the author has shown the Lp-Lq estimates between the solutions of the damped wave equation and the solutions of the corresponding heat equation. In this paper, we show new Lp-Lq estimates for the damped wave equation with odd initial data.

We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M, g) and the Lq,p-cohomology of that manifold. The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential forms in L(M) modulo the exact forms which are exterior differentials of forms in L(M).

We investigated the applicability of the repairable-conditionally repairable (RCR) model and the multi-target (MT) model to dose conversion in high-dose-per-fraction radiotherapy in comparison with the linear-quadratic (LQ) model. Cell survival data of V79 and EMT6 single cells receiving single doses of 2-12 Gy or 2 or 3 fractions of 4 or 5 Gy each, and that of V79 spheroids receiving single do...

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and Applied Analysis 3 for any fixed T > 0. Then v,H can be extended beyond T > 0 if one of the following conditions is satisfied: 1 u ∈ C ( 0, T ;Ln/3 ) , 1.11 2 u ∈ L 0, T ;L with 2 p n q 3, n 3 < q ≤ n, 1.12 3 ∇u ∈ C ( 0, T ;Ln/4 ) , 1.13 4 ∇u ∈ L 0, T ;L with 2 p n q 4 with n 4 < q ≤ n 2 . 1.14 Remark 1.5. If we delete the harmless lower order terms ∂tu − Δu and ∂tB − ΔB in 1.1 and 1.2 , th...

BACKGROUND Functional movement tests that are predictive of injury risk in National Collegiate Athletic Association (NCAA) athletes are useful tools for sports medicine professionals. The Lower Quarter Y-Balance Test (YBT-LQ) measures single-leg balance and reach distances in 3 directions. PURPOSE To assess whether the YBT-LQ predicts the laterality and risk of sports-related lower extremity ...

Sparse learning has recently received increasing attention in many areas including machine learning, statistics, and applied mathematics. The mixed-norm regularization based on the l1/lq norm with q > 1 is attractive in many applications of regression and classification in that it facilitates group sparsity in the model. The resulting optimization problem is, however, challenging to solve due t...

The mycotoxin citrinin (CTN), a natural contaminant in foodstuffs and animal feeds, exerts cytotoxic and genotoxic effects on various mammalian cells and embryos. A previous investigation by our group revealed potentially hazardous effects of CTN on mouse oocyte maturation and pre- and post-implantation embryo development via the induction of apoptosis. The present study showed that CTN induces...

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