A simple method of identifying plant and controller operating in closed-loop is developed by the orthogonal decomposition technique. Under the assumption that the system is open-loop as well as closed-loop stable, a subspace identification algorithm of identifying the deterministic part is derived based on two successive LQ decompositions. The idea is somewhat related to the two-stage method (V...

For example, Theorem 3 says that if V is a closed subspace of f2 and if V CQp for some p < 2, then V is finite-dimensional . On the other hand, the corollary to Theorem 4 states that there exist infinite-dimensional subspaces V of f 2 none of whose nonzero elements belongs to any f p -space (p < 2) . [For L2(0, 1) the results are somewhat different: (1) if V is a closed subspace of L 2(0, 1) an...

This paper discusses the ability of multilayer perceptrons (MLPs) to model the probability distribution of data in typical pattern recognition and verification problems. It is proven that multilayer perceptrons with sigmoidal units and a number of hidden units less or equal than the number of inputs are unable to model patterns distributed in typical clusters, since these networks draw open sep...

A systematic study is made of spectral measures in locally convex spaces which are countably additive for the topology of uniform convergence on bounded sets, briefly, the bounded convergence topology. Even though this topology is not compatible for the duality with respect to the pointwise convergence topology it turns out, somewhat surprisingly, that the corresponding L'-spaces for the spectr...

Here X is a topological space equal to the union of the closed subset Z and the open complement U , and D(Z), D(X), and D(U) are suitable derived categories of sheaves. The triangulated functors in a recollement must satisfy various conditions, most importantly that (i, i∗), (i∗, i ), (j!, j ), and (j, j∗) are adjoint pairs. The purpose of this note is to point out that, somewhat surprisingly, ...

The goal of this article is to establish several general properties a somewhat large class partially hyperbolic diffeomorphisms called discretized Anosov flows. A definition for these systems presented and proven be equivalent with the introduced in [1], as well notion flow type [13].The set flows shown $ C^1 $-open closed inside diffeomorphisms. Every dynamically coherent plaque expansive. Uni...

Ugandan adolescents ( n = 202, 54% girls; M age 14.26) answered closed- and open-ended questions about the gender composition of friends attitudes about, activities with, same- other-gender peers friends. Adolescents’ friendships were somewhat segregated, although present. Positive prevalent. Girls boys displayed similar peers, with exception reporting more positive toward boys. Adolescents enj...

Designing efficient cryptographic protocols tolerating adaptive adversaries, who are able to corrupt parties on the fly as the computation proceeds, has been an elusive task. In this paper we make progress in this area. First, we introduce a new notion called semi-adaptive security which is slightly stronger than static security but significantly weaker than fully adaptive security. The main di...