Fault diagnosis of analogue linear systems poses many challenges, such as the size of the search space that must be explored and the possibility of simulation instabilities introduced by particular fault classes. We study a novel algorithm that addresses both problems. This algorithm dynamically modifies the simulation model during diagnosis by pruning parametrized components that cause discont...

In this work we consider the border collision bifurcations occurring in a one-dimensional piecewise linear map with two discontinuity points. The map, motivated by an economic application, is written in a generic form and considered in the stable regime, with all slopes between zero and one. We prove that the period adding structures occur in maps with more than one discontinuity points and tha...

We present a new mixed method of LDA-VQ to predict Korean prosodic break index(PBI) for a given utterance. PBI can be used as an important cue of syntactic discontinuity in continuous speech recognition(CSR). Our proposed method, LDA-VQ model, consists of three steps. At the first step, PBI was predicted with the information of syllable and pause duration through the linear discriminant analysi...

We examined how well prosodic boundary strength can be captured by two declination stylization methods as well as by four different representations of pitch register. In the stylization proposed by Liebermann et al. (1985) baseand topline are fitted to peaks and valleys of the pitch contour, whereas in Reichel&Mády (2013) these lines are fitted to medians below and above certain pitch percentil...

The function F has three semi-infinite lines of tangent discontinuity: l1 = {(x, 0) : x ≥ 0}, l2 = {(x,−x) : x ≤ 0}, and l3 = {(x, x) : x ≤ 0} which meet at the origin. These lines, when restricted to the triangle △, divide △ into three quadrilaterals. If we further divide these quadrilaterals by the three line segments [0,x1], [0,x2], [0,x3] joining the origin to the three vertices of △ we obt...

A measure of temporal predictability is defined and used to separate linear mixtures of signals. Given any set of statistically independent source signals, it is conjectured here that a linear mixture of those signals has the following property: the temporal predictability of any signal mixture is less than (or equal to) that of any of its component source signals. It is shown that this propert...

In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity.

The complex bifurcation structure in the parameter space of the general piecewise linear scalar map with a single discontinuity nowadays known as nested period adding structure was studied completely analytically by N.N. Leonov already 50 years ago. He used an elegant and very efficient recursive technique, which allows the analytical calculation of the border-collision bifurcation curves, caus...

In this paper, we describe a systematic development of the different types of perturbations methods in the theory of differential and integral equations. A special quadratic perturbation of the periodic boundary value problems of second order ordinary differential equations is studied in detail for different aspects of the solutions. An existence theorem is proved under mixed generalized Lipsch...

We investigate the degree of discontinuity of several solution concepts from non-cooperative game theory. While the consideration of Nash equilibria forms the core of our work, also pure and correlated equilibria are dealt with. Formally, we restrict the treatment to two player games, but results and proofs extend to the n-player case. As a side result, the degree of discontinuity of solving sy...