Passives of Possessive (ge)habban in a Passage in Ælfric’s Catholic Homily I, 33 in the Light of a Recently Discovered Augustinian Source

The main focus of this article is on a passage in Ælfric’s Catholic Homily I, 33 and its Latin source in Augustine’s Sermon 71. The correspondence between the Latin source text and Ælfric’s translation is exceptionally close, almost gloss-like. What is particularly striking is the occurrence of passives of possessive (ge)habban in the Old English, corresponding to passives of possessive habere in the source. In both Old English and Latin the expression of possession with the passives of both (ge)habban and habere is very rare. The Latin Trinitarian statement translated by Ælfric consists of three sentences which display a remarkable degree of parallelism at the level of syntax and lexis. This results in a compact statement consisting of parallel repeated elements, which not only establish differences between the three persons of the Godhead but also emphasise the essential unity underlying the Trinity. The article also briefly deals with another, syntactically more relaxed, formulation of the same Trinitarian statement occurring earlier in Augustine’s sermon and tentatively asks the question why Ælfric chose the more complex and unwieldy version with passives of habere as the base text for his translation.

Relaxed formulation of the design conditions for Takagi-Sugeno fuzzy virtual actuators

The H∞ norm approach to virtual actuators design, intended to Takagi-Sugeno fuzzy continuous-time systems, is presented in the paper. Using the second Ljapunov method, the design conditions are formulated in terms of linear matrix inequalities in adapted bounded real lemma structures. Related to the static output controller, and for systems under influence of single actuator faults, the design steps are revealed for a three-tank system plant.

NUMERICAL SHAPE OPTIMIZATION FOR RELAXED DIRICHLET PROBLEMS

We consider the numerical approximation of optimal design problems governed by an elliptic partial differential equation, in the relaxed formulation recently introduced by Buttazzo and Dal Maso. A discrete optimality condition is derived for the solution of the optimization problem in the finite element setting, by means of which a convergent algorithm is generated. We discuss the numerical results of its application on different examples.