According to the C/D model, the base function for each utterance comprises a skeletal structure represented by a syllable-boundary pulse train and melodic control functions that are linked to individual syllables. The melody includes vocalic, tonal, and some other control variables. The concept of prosody may be generalized to include all base function aspects according to this concept. Melodic...

We consider stochastic hybrid systems controlled by a bounded variation process leading to a singular control. A typical example is considered (i.e., characterization and properties of the value function) and a more general class is discussed in a paper to appear. Copyright c ©2005 IFAC.

We consider the problem of stability in a class of differential equations which are driven by a differential measure associated with inputs of locally bounded variation. After discussing some existing notions of solution for such systems, we derive Lyapunov-based conditions on the system’s vector fields for asymptotic stability under a specific class of inputs. These conditions are based on the...

We derive a new pointwise characterization of the subdifferential of the total variation (TV) functional. It involves a full trace operator which maps certain L vectorfields to integrable functions with respect to the total variation measure of the derivative of a bounded variation function. This full trace operator extents a notion of normal trace, frequently used, for example, to characterize...

We discuss the finite-fuel, singular stochastic control problem of optimally tracking the standard Brownian motion x+W (·) started at x ∈ IR, by an adapted process ξ(·) = ξ+(·)−ξ−(·) of bounded total variation ξ̌(t) = ξ+(t) + ξ−(t) ≤ y, ∀ 0 ≤ t < ∞, so as to minimize the total expected discounted cost

The matrix calculus is widely applied in various branches of mathematics and control system engineering. In this paper properties of real matrices with nonnegative elements are studied. The classical Collatz theorem is unique and immediately applicable to estimating the spectral radius of nonnegative irreducible matrices. The coherence property is identified. Then the Perron–Frobenius theorem a...

The heterogeneity of e-commerce users requires online shopping environments to advance from a simple framework to one that is adaptive. This need results from the negative consequences of user frustration due to information load. We used a feedback control theory based approach to address the online consumer information overload issue in an adaptive manner. To demonstrate the efficacy of this f...

The matrix calculus is widely applied in various branches of mathematics and control system engineering. In this paper properties of real matrices with nonnegative elements are studied. The classical Collatz theorem is unique and immediately applicable to estimating the spectral radius of nonnegative irreducible matrices. The coherence property is identified. Then the Perron–Frobenius theorem a...