In music, multiple pitches often occur simultaneously, an essential feature of harmony. In the present study, the authors assessed the ability of cochlear implant (CI) users to perceive polyphonic pitch. Acoustically presented stimuli consisted of one, two, or three superposed tones with different fundamental frequencies (f(0)). The normal hearing control… (More)
In this paper we study systems in which the system operator, A, has a Riesz basis of (generalized) eigenvectors. We show that this class is subset of the class of spectral operators as studied by Dunford and Schwartz. For these systems we investigate several system theoretic properties, like stability and controllability. We apply our theory to… (More)
Telomeres and the protein/RNA complexes involved in maintaining them are rapidly evolving systems across eukaryotes. Using two Saccharomyces species, among S. cerevisiae and S. bayanus, we provide evidence that the telomere systems of these two closely related yeasts have evolved significantly apart and that the gene in one species cannot maintain the… (More)
In this paper we investigate the relation between discrete-and continuous-time systems. More precisely, we investigate the stabiity properties of the semigroup generated by A, and the sequence A n d , n ∈ N, where A d = (I + A)(I − A) −1 .
State-Space and frequency-domain methods in the control of distributed parameter systems by Prerequisites: ME243A/B (ECE230A/B) and a solid background in advanced linear algebra. Familiarity with functional analysis and a certain amount of``mathematical maturity'' is helpful. Students will be expected to make up any missing mathematical background using… (More)
In this paper we investigate and compare the properties of the semigroup generated by A, and the sequence A n d , n ∈ N, where A d = (I + A)(I − A) −1. We show that if A and A −1 generate a uniformly bounded, strongly continuous semi-group on a Hilbert space, then A d is power bounded. For analytic semigroups we can prove stronger results. If A is the… (More)
In this paper, we develop a continuous age-dependent population model based on parity progression, and introduce the age-parity progression fertilities as the control variables of the system. The stationary situation is fully investigated and the distribution of age-parity progression fertilities for the stable system is studied.
On the relation between stability of continuous-and discrete-time evolution equations via the Cayley transform * Abstract In this paper we investigate the relation between discrete and continuous operators. More precisely, we investigate the properties of the semigroup generated by A, and the sequence A n d , n ∈ N, where A d = (I + A)(I − A) −1. We show… (More)
Using the Riesz basis approach, we study a sandwich beam that is composed of an outer stiff layer and a compliant middle layer. The dynamic behavior and analyticity of the system are obtained based on a detailed spectral analysis and Riesz basis generation. As a consequence, the analyticity of the solution and the exponential stability of the system are… (More)