This chapter aims at showing how a particular class of input delay ordinary differential equations, in which the timeand input-dependent delay is defined through an implicit integral equation, can be used to model accurately the internal temperature of a Spark-Ignited engine catalyst. The modeling approach is grounded on a one-dimensional distributed parameter model, which is approximated by a ...

The time taken for a CMOS logic gate output to change after one or more inputs have changed is called the delay of the gate. A conventional multi-input CMOS gate is designed to have the same input to output delay irrespective of which input caused the output to change. A gate which can offer different delays for different input-output paths through it, is known as a variable input delay (VID) g...

In this paper, the tracking control problem of a class of uncertain Euler-Lagrange systems subjected to unknown input delay and bounded disturbances is addressed. To this front, a novel delay dependent control law, referred as Adaptive Robust Outer Loop Control (AROLC) is proposed. Compared to the conventional predictor based approaches, the proposed controller is capable of negotiating any inp...

The paper exposes some of the potential of a recently introduced backstepping transformation for linear uncertain time-delay systems to address the classic problems of equilibrium regulation under partial measurements, disturbance rejection, parameter or delay adaptation. For each of these problems, an implementable control strategy is proposed. It is analyzed through a convergence analysis of ...

We model the conditional mean and volatility of stock returns as a latent vector autoregressive (VAR) process to study the contemporaneous and intertemporal relationship between expected returns and risk in a flexible statistical framework and without relying on exogenous predictors. We find a strong and robust negative correlation between the innovations to the conditional moments that leads t...

This paper proposes a factor augmented autoregressive distributed lag (FADL) framework for analyzing the dynamic effects of common and idiosyncratic shocks. We first estimate the common shocks from a large panel of data with a strong factor structure. Impulse responses are then obtained from an autoregression, augmented with a distributed lag of the estimated common shocks. The approach has thr...

As a complementary to the existing studies of competitive market structure analysis, the present paper proposed a time series methodogy to provide a more detailed picture of marketing competition in relation to competitive market structure. Two major hypotheses were tested as part of this project. First, it was found that some significant cross-lead and lag effects of marketing variables on sal...

The MacDonald-Kaula-Gerstenkorn theory of bodily tides assumes constancy of the geometric lag angle δ , while the Singer-Mignard theory asserts constancy of the time lag ∆t . Each of these two models is tacitly based on a particular law of the geometric lag’s dependence upon the main frequency χ of the tidal flexure. In the theory of Gerstenkorn (1955), MacDonald (1964), and Kaula (1964) δ ∼ χ0...

We address the problem of prediction in the classical spatial autoregressive LAG model for areal data. In contrast with the spatial econometrics literature, the geostatistical literature has devoted much attention to prediction using the Best Linear Unbiased Prediction approach. From the methodological point of view, we explore the limits of the extension of BLUP formulas in the context of the ...

This paper is concerned with a delay-dependent sliding mode scheme for the robust stabilization of input-delay systems with bounded unknown uncertainties. A sliding surface based on a predictor is proposed to minimize the effect of the input delay. Then, a robust control law is derived to ensure the existence of a sliding mode on the surface. In input-delay systems, uncertainties given during t...